commit 64cad1c39333ddc688ffb2763ffaa9c04d9a41b8
Author: J. Fernando Sánchez <jf.sanchez@upm.es>
Date:   Fri Apr 17 17:48:48 2020 +0200

    Conway presentation

diff --git a/.gitignore b/.gitignore
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+++ b/.gitignore
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+.*
diff --git a/Conway.ipynb b/Conway.ipynb
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "# Conway's life and games\n",
+    "\n",
+    "![](data:image/jpeg;base64,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)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Conway's Life"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "Some of his achievements:\n",
+    " \n",
+    "* Game of Life\n",
+    "* Surreal numbers\n",
+    "* Free Will Theorem"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Game of Life\n",
+    "\n",
+    "\n",
+    "<img style=\"height: 600px\" src=\"https://raw.githubusercontent.com/marcoemrich/game-of-life-rules/master/gol_rules.png\">"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "skip"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Populating the interactive namespace from numpy and matplotlib\n"
+     ]
+    }
+   ],
+   "source": [
+    "%pylab inline\n",
+    "from pylab import rc\n",
+    "\n",
+    "import numpy as np\n",
+    "import scipy\n",
+    "from IPython.display import HTML\n",
+    "from matplotlib import animation\n",
+    "\n",
+    "rc('animation', html='html5')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def life_step(X):\n",
+    "    \"\"\"Game of life step using scipy tools\"\"\"\n",
+    "    from scipy.signal import convolve2d\n",
+    "    nbrs_count = convolve2d(X, np.ones((3, 3)), mode='same', boundary='wrap') - X\n",
+    "    return (nbrs_count == 3) | (X & (nbrs_count == 2))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 175,
+   "metadata": {
+    "scrolled": false,
+    "slideshow": {
+     "slide_type": "skip"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def life_animation(X, dpi=120, fps=30, frames=10, interval=300, mode='loop', save=None):\n",
+    "    \"\"\"Produce a Game of Life Animation\n",
+    "    \n",
+    "    Parameters\n",
+    "    ----------\n",
+    "    X : array_like\n",
+    "        a two-dimensional numpy array showing the game board\n",
+    "    dpi : integer\n",
+    "        the number of dots per inch in the resulting animation.\n",
+    "        This controls the size of the game board on the screen\n",
+    "    frames : integer\n",
+    "        The number of frames to compute for the animation\n",
+    "    interval : float\n",
+    "        The time interval (in milliseconds) between frames\n",
+    "    mode : string\n",
+    "        The default mode of the animation.  Options are ['loop'|'once'|'reflect']\n",
+    "    \"\"\"\n",
+    "    X = np.asarray(X)\n",
+    "    assert X.ndim == 2\n",
+    "    X = X.astype(bool)\n",
+    "    \n",
+    "    X_blank = np.zeros_like(X)\n",
+    "#     figsize = (X.shape[1] * 1. / dpi, X.shape[0] * 1. / dpi)\n",
+    "#     print(figsize, dpi)\n",
+    "\n",
+    "    fig = plt.figure(dpi=dpi);\n",
+    "    plt.close()\n",
+    "    ax = fig.add_axes([0, 0, 1, 1], xticks=[], yticks=[], frameon=False)\n",
+    "    im = ax.imshow(X, cmap=plt.cm.binary, interpolation='nearest')\n",
+    "    im.set_clim(-0.05, 1)  # Make background gray\n",
+    "    orig = X.copy()\n",
+    "    # initialization function: plot the background of each frame\n",
+    "    def init():\n",
+    "        im.set_data(orig)\n",
+    "        animate.X = orig\n",
+    "        return (im,)\n",
+    "\n",
+    "    # animation function.  This is called sequentially\n",
+    "    def animate(i):\n",
+    "        im.set_data(animate.X)\n",
+    "        animate.X = life_step(animate.X)\n",
+    "        return (im,)\n",
+    "\n",
+    "    anim = animation.FuncAnimation(fig, animate, init_func=init,\n",
+    "                                   frames=frames, interval=interval,\n",
+    "                                   blit=True)\n",
+    "    \n",
+    "    #print anim_to_html(anim)\n",
+    "    htmlcode = anim.to_jshtml(default_mode=mode)\n",
+    "    if save:\n",
+    "        anim.save(save+'.gif', writer='imagemagick', fps=fps)\n",
+    "    return HTML(htmlcode)\n",
+    "\n",
+    "\n",
+    "def pattern(*figs, height=50, width=70):\n",
+    "    '''Concatenate different patterns into a single board'''\n",
+    "    X = np.zeros((height, width))  \n",
+    "    for patt, x0, y0 in figs:\n",
+    "        X[y0:y0+len(patt), x0:x0+len(patt[0])] = patt\n",
+    "    return X"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 110,
+   "metadata": {
+    "scrolled": false,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_imgac1f9f10fb434e7ab1fea8cb743cdad2\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_sliderac1f9f10fb434e7ab1fea8cb743cdad2\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"animac1f9f10fb434e7ab1fea8cb743cdad2.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animac1f9f10fb434e7ab1fea8cb743cdad2.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_selectac1f9f10fb434e7ab1fea8cb743cdad2\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_ac1f9f10fb434e7ab1fea8cb743cdad2\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio1_ac1f9f10fb434e7ab1fea8cb743cdad2\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_ac1f9f10fb434e7ab1fea8cb743cdad2\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio2_ac1f9f10fb434e7ab1fea8cb743cdad2\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_ac1f9f10fb434e7ab1fea8cb743cdad2\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_ac1f9f10fb434e7ab1fea8cb743cdad2\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_imgac1f9f10fb434e7ab1fea8cb743cdad2\";\n",
+       "    var slider_id = \"_anim_sliderac1f9f10fb434e7ab1fea8cb743cdad2\";\n",
+       "    var loop_select_id = \"_anim_loop_selectac1f9f10fb434e7ab1fea8cb743cdad2\";\n",
+       "    var frames = new Array(40);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAKgklEQVR4nO3YQW7jOABFwfEgS/H+ByX3nBOMgNdK\\\n",
+       "wjZctSf4E2vxwNfee//zF1trnZ4AAMAvuq7r9IRb/54eAAAA70RAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAgq/TAwB+yhjj6P1zzkfnn+5/ev9T777/qdPf31Pv/v+Hn+QFGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIXnvvfXrEnbXW6Ql8sDHG0fvnnI/OP93/9P7T/P2f/fe/O78fn+y6rtMTbnmBBgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAACC1957nx5xZ611egLARxpjPDo/5/ymJcCnua7r9IRbXqABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgODr9ACA\\\n",
+       "/zPGeHR+zul+AL6dF2gAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIHjtvffpEXfWWqcnAPyRMcaj83POb1rCO/L98Mmu\\\n",
+       "6zo94ZYXaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIBAQAMAQCCgAQAg+Do9APg5Y4xH5+ec37SEE9799z+9//T9wN/LCzQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAELz23vv0iDtrrdMT4JgxxqPzc85vWgIAv+e6rtMTbnmBBgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAACCr9MD\\\n",
+       "4G82xnh0fs559PzT/U893f/U6d/v0+8/7dO/f+DneIEGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAILX3nufHnFnrXV6\\\n",
+       "ArytMcbpCY/MOU9P4KCn3+/p7+fd98NJ13WdnnDLCzQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAELz23vv0iDtrrdMT\\\n",
+       "4GONMR6dn3N+0xLeke8H+FPXdZ2ecMsLNAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQvPbe+/SIO2ut0xMAAPhF13Wd\\\n",
+       "nnDLCzQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEPwHls2bei7fnYIAAAAASUVORK5C\\\n",
+       "YII=\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAKHklEQVR4nO3YwW4rRRRFUUA9TP3/h97MwxxekDYd\\\n",
+       "c22z1rxVx0kNtur3r6+vr9+e2Ofn5/YEAAD+Qx8fH9sT/tEf2wMAAOCVCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEBwbQ8AAP7u\\\n",
+       "nHPr+5n5oSXAX3mBBgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAACCa3sAwKOcc1bPn5nV89m1ff/unu/+wve8QAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAwbU9AIDHOOesnj8zq+cDPIoXaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAguLYHADyrmdmecMvd/eec\\\n",
+       "H1ry//Tq9wf4nhdoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACC4tgcAPMrMrJ5/zrn1/d392+cDvCsv0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAcG0PAHhW55ztCbywu/dnZn5oCfDTvEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAMG1PQDgWc3M6vnnnFvf\\\n",
+       "b+8HeFdeoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCA4NoeAHzvnHPr+5l56fO3bf/+V//7vbq7/3/gfXmBBgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAACCa3sA8Lxm5tb355zV8+/aPp977t6/u9wfeF9eoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA4NoeAHxv\\\n",
+       "ZrYnwJpzzvYEgF/yAg0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABNf2AOBxzjnbE+Bfm5ntCQC/5AUaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAiu7QHA48zM9gQAeDteoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
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+       "QGCgAQAgMNAAABAYaAAACAw0AAAEBhoAAAIDDQAAgYEGAIDAQAMAQGCgAQAgMNAAABAYaAAACAw0\\\n",
+       "AAAEBhoAAAIDDQAAgYEGAIDAQAMAQGCgAQAgMNAAABAYaAAACAw0AAAEBhoAAAIDDQAAgYEGAIDA\\\n",
+       "QAMAQGCgAQAgMNAAABAYaAAACG70LQq8OKqFaAAAAABJRU5ErkJggg==\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        animac1f9f10fb434e7ab1fea8cb743cdad2 = new Animation(frames, img_id, slider_id, 299.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 110,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "np.random.seed(0)\n",
+    "X = np.zeros((30, 40), dtype=bool)\n",
+    "r = np.random.random((10, 20))\n",
+    "X[10:20, 10:30] = (r > 0.75)\n",
+    "life_animation(X, dpi=120, frames=40, mode='once')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Static configurations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 111,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "-"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_imgab4f54e7a3de460884d4af8a345be8d4\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_sliderab4f54e7a3de460884d4af8a345be8d4\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"animab4f54e7a3de460884d4af8a345be8d4.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animab4f54e7a3de460884d4af8a345be8d4.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_selectab4f54e7a3de460884d4af8a345be8d4\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_ab4f54e7a3de460884d4af8a345be8d4\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio1_ab4f54e7a3de460884d4af8a345be8d4\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_ab4f54e7a3de460884d4af8a345be8d4\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio2_ab4f54e7a3de460884d4af8a345be8d4\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_ab4f54e7a3de460884d4af8a345be8d4\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_ab4f54e7a3de460884d4af8a345be8d4\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_imgab4f54e7a3de460884d4af8a345be8d4\";\n",
+       "    var slider_id = \"_anim_sliderab4f54e7a3de460884d4af8a345be8d4\";\n",
+       "    var loop_select_id = \"_anim_loop_selectab4f54e7a3de460884d4af8a345be8d4\";\n",
+       "    var frames = new Array(3);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJ20lEQVR4nO3YQYobMRRF0XLwVPtfqHpeGSVgPEjf\\\n",
+       "DFrfcM4KHiUVXPS47/u+AACAb/l1egAAAHwSAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BM+vr6/TGwAA4GN4gQYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gOB5egB8orXW6Qmj7L1PT2A4/8w7/81c7usrd/WdF2gAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABM/TA/5Ya52eMM7e+/SEUSbdEWfzasrZOJd3zmYuZ8O/\\\n",
+       "TDmbKXf1uuZ8Ey/QAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "PE8PgO/ae5+e8Nda6/SEUSadDa+mnM2kf2bKN2GuKXdkyn8z5XtM4gUaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAACCx977Pj0CAH7KWuv0hOu6rmvvfXoC8J+8QAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgeJ4eAAA/ae99\\\n",
+       "egLw4bxAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA8Ljv+z49\\\n",
+       "AgAAPoUXaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABD8BmvHR7Go04VjAAAAAElF\\\n",
+       "TkSuQmCC\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJ20lEQVR4nO3YQYobMRRF0XLwVPtfqHpeGSVgPEjf\\\n",
+       "DFrfcM4KHiUVXPS47/u+AACAb/l1egAAAHwSAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
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+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABD8BmvHR7Go04VjAAAAAElF\\\n",
+       "TkSuQmCC\\\n",
+       "\"\n",
+       "  frames[2] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
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+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
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+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABD8BmvHR7Go04VjAAAAAElF\\\n",
+       "TkSuQmCC\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        animab4f54e7a3de460884d4af8a345be8d4 = new Animation(frames, img_id, slider_id, 299.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 111,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "X = np.zeros((6, 21))\n",
+    "X[2:4, 1:3] = 1\n",
+    "X[1:4, 5:9] = [[0, 1, 1, 0],\n",
+    "               [1, 0, 0, 1],\n",
+    "               [0, 1, 1, 0]]\n",
+    "X[1:5, 11:15] = [[0, 1, 1, 0],\n",
+    "                 [1, 0, 0, 1],\n",
+    "                 [0, 1, 0, 1],\n",
+    "                 [0, 0, 1, 0]]\n",
+    "X[1:4, 17:20] = [[1, 1, 0],\n",
+    "                 [1, 0, 1],\n",
+    "                 [0, 1, 0]]\n",
+    "\n",
+    "life_animation(X, dpi=120, frames=3)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### The \"Blinker\" and the \"Toad\" (Period-2 oscillators)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 112,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "-"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_imga8717f1208794cb2a0400c38e379ed64\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_slidera8717f1208794cb2a0400c38e379ed64\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"anima8717f1208794cb2a0400c38e379ed64.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anima8717f1208794cb2a0400c38e379ed64.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_selecta8717f1208794cb2a0400c38e379ed64\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_a8717f1208794cb2a0400c38e379ed64\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio1_a8717f1208794cb2a0400c38e379ed64\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_a8717f1208794cb2a0400c38e379ed64\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio2_a8717f1208794cb2a0400c38e379ed64\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_a8717f1208794cb2a0400c38e379ed64\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_a8717f1208794cb2a0400c38e379ed64\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_imga8717f1208794cb2a0400c38e379ed64\";\n",
+       "    var slider_id = \"_anim_slidera8717f1208794cb2a0400c38e379ed64\";\n",
+       "    var loop_select_id = \"_anim_loop_selecta8717f1208794cb2a0400c38e379ed64\";\n",
+       "    var frames = new Array(4);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
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+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAMG5ewAA8H5zzt0T4LF8oAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA4Fhrrd0jAADgLnyg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIDgD6zeG3C1oG9CAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJiUlEQVR4nO3YQU4DMRBFQYKy9f0P2tmbG0Q8kPCM\\\n",
+       "qDrB39h66sfee38AAADf8nl6AAAA3ImABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
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+       "AAgENAAABAIaAAACAQ0AAMEXumYelXEuQwUAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "  frames[2] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
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+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAADBH4AZG5eX9gVlAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "  frames[3] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJkUlEQVR4nO3YsW0DMRBFQctQyv4LXeV0B4KfEt4J\\\n",
+       "MxX8gAAf9rH33j8AAMC//J4eAAAAdyKgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg\\\n",
+       "ENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAwfP1ep3ewI2ttU5PuLSZOT0BADL/+3su0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA8Dw9AAA+\\\n",
+       "sdY6PeHSZub0BG7M+3nPBRoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACJ6nBwDAJ2bm9AT4Wmut0xMuzQUaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgeM7NPjwCAaq11esKlzczp\\\n",
+       "CfC1XKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgOCx996nRwAAwF24QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg\\\n",
+       "ENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAwR9+ASFwo+CrnwAAAABJRU5ErkJggg==\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        anima8717f1208794cb2a0400c38e379ed64 = new Animation(frames, img_id, slider_id, 299.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 112,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "blinker = [[1, 1, 1]]\n",
+    "toad = [[1, 1, 1, 0],\n",
+    "        [0, 1, 1, 1]]\n",
+    "\n",
+    "\n",
+    "X = pattern((blinker, 1, 1),\n",
+    "            (toad, 6, 1), width=10, height=4)\n",
+    "\n",
+    "life_animation(X, frames=4)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### The pulsar (period-3)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 113,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_img453f3961ff6d4444951d57947d723311\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_slider453f3961ff6d4444951d57947d723311\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"anim453f3961ff6d4444951d57947d723311.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim453f3961ff6d4444951d57947d723311.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_select453f3961ff6d4444951d57947d723311\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_453f3961ff6d4444951d57947d723311\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio1_453f3961ff6d4444951d57947d723311\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_453f3961ff6d4444951d57947d723311\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio2_453f3961ff6d4444951d57947d723311\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_453f3961ff6d4444951d57947d723311\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_453f3961ff6d4444951d57947d723311\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_img453f3961ff6d4444951d57947d723311\";\n",
+       "    var slider_id = \"_anim_slider453f3961ff6d4444951d57947d723311\";\n",
+       "    var loop_select_id = \"_anim_loop_select453f3961ff6d4444951d57947d723311\";\n",
+       "    var frames = new Array(6);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAKLElEQVR4nO3YQW7jMBQFwfHAS+r+BxX3zA0CNGKZ\\\n",
+       "iVx1AT3Df9HgY621/nFbc87dEwDg44wxdk/gQv93DwAAgL9EQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAILn7gHA947j2D3hds7z3D3hVtzo67lR+N28QAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACB5rrbV7BNeZc+6eAAAfZ4yxewIX8gINAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA8Nw9AH7iOI63f/M8z7d/\\\n",
+       "k9d69928+2bu/vt4PTcDjRdoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
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+       "ATlKp0rtBzwUAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        anim453f3961ff6d4444951d57947d723311 = new Animation(frames, img_id, slider_id, 299.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 113,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "X = np.zeros((17, 17))\n",
+    "X[2, 4:7] = 1\n",
+    "X[4:7, 7] = 1\n",
+    "X += X.T\n",
+    "X += X[:, ::-1]\n",
+    "X += X[::-1, :]\n",
+    "pulsar = X.copy()\n",
+    "life_animation(X, frames=6)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### The glider (period-4 oscillator that moves)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 176,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_img7f4d15038ebf4ed68cb07ea5f652cff8\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_slider7f4d15038ebf4ed68cb07ea5f652cff8\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim7f4d15038ebf4ed68cb07ea5f652cff8.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_select7f4d15038ebf4ed68cb07ea5f652cff8\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_7f4d15038ebf4ed68cb07ea5f652cff8\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio1_7f4d15038ebf4ed68cb07ea5f652cff8\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_7f4d15038ebf4ed68cb07ea5f652cff8\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio2_7f4d15038ebf4ed68cb07ea5f652cff8\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_7f4d15038ebf4ed68cb07ea5f652cff8\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_7f4d15038ebf4ed68cb07ea5f652cff8\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_img7f4d15038ebf4ed68cb07ea5f652cff8\";\n",
+       "    var slider_id = \"_anim_slider7f4d15038ebf4ed68cb07ea5f652cff8\";\n",
+       "    var loop_select_id = \"_anim_loop_select7f4d15038ebf4ed68cb07ea5f652cff8\";\n",
+       "    var frames = new Array(32);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJhElEQVR4nO3YsXHDQBAEQUIFE8g/0AsAimGM50tk\\\n",
+       "dwRrnDF1x/M8z4uPdRzH7glvNTO7JwDA67qu3RNY6Gf3AAAA+E8ENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAACCc/cA1pqZ3RPe6r7v3RNY6NvuGYC/\\\n",
+       "yQcaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCA4Nw9gLXu+949gYVmZvcEAPg6PtAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAE5+4BrDUzuycAAHwUH2gAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAACCX9FoFnRhatHEAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJh0lEQVR4nO3YsW3DQBBFQdtQyOu/0FNON+DkARZX\\\n",
+       "pmcq+MAmD/t5nuf5wW09n8/pCZdaa01PuNTee3oCAD84jmN6Ai/0NT0AAAD+EgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgOAxPQB+0957esKl1lrT\\\n",
+       "Ey713+4LwHvygQYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACB4TA/gtdZa0xMAAG7FBxoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIDgMT2A19p7T08AALgVH2gAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
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+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg+APimxsGb91jsAAAAABJRU5ErkJggg==\\\n",
+       "\"\n",
+       "  frames[30] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
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+       "AAAEAhoAAIIfhKAZdMNwkAcAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "  frames[31] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
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+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
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+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQPADFIoWvzyRY6UAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        anim7f4d15038ebf4ed68cb07ea5f652cff8 = new Animation(frames, img_id, slider_id, 100.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 176,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "glider = [[1, 0, 0],\n",
+    "          [0, 1, 1],\n",
+    "          [1, 1, 0]]\n",
+    "life_animation(pattern((glider, 0,0), width=8, height=8), frames=32, interval=100)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### The Glider Gun (Unbounded growth)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 177,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "-"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_img5c6c7c07d51044889cc7bf52ae0ec7ee\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_slider5c6c7c07d51044889cc7bf52ae0ec7ee\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim5c6c7c07d51044889cc7bf52ae0ec7ee.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_select5c6c7c07d51044889cc7bf52ae0ec7ee\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_5c6c7c07d51044889cc7bf52ae0ec7ee\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio1_5c6c7c07d51044889cc7bf52ae0ec7ee\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_5c6c7c07d51044889cc7bf52ae0ec7ee\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio2_5c6c7c07d51044889cc7bf52ae0ec7ee\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_5c6c7c07d51044889cc7bf52ae0ec7ee\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_5c6c7c07d51044889cc7bf52ae0ec7ee\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_img5c6c7c07d51044889cc7bf52ae0ec7ee\";\n",
+       "    var slider_id = \"_anim_slider5c6c7c07d51044889cc7bf52ae0ec7ee\";\n",
+       "    var loop_select_id = \"_anim_loop_select5c6c7c07d51044889cc7bf52ae0ec7ee\";\n",
+       "    var frames = new Array(180);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJ9ElEQVR4nO3dMW6DQABFwSRyCfc/qOlJHcXFvsiE\\\n",
+       "NZ6pEV5ZFE/b/M993/ePA23bduTrAQDgh2VZDn3/16FvBwCAixHQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAILidfQBgXuu6Dj13v98PPgkAzMMNNAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgMqcDFjIyfGD4BgL9zAw0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIElQp5uZAlv1Lss5s36n73L/z+rWb8LgHfnBhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEhlQYNjrqcMZgw8jZDEkAAM/gBhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAIJplghHV+5GWJzrXn3Jb+RsMy8pwiO+RYA5\\\n",
+       "uYEGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBgmiVCeOSM9cAzVhln\\\n",
+       "Pb/1RgD4zQ00AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACKYZUjHEwCNnfBev\\\n",
+       "/i2++vkBYHZuoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIPjc930/\\\n",
+       "8ge2bTvy9fyjdV2HnjtjCW/kbBb6AOA9LMty6PvdQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIDAkApPNzq4MsL4CQBQGVIBAICJCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQ3M4+ANdjPRAAuDI30AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBA8A0j12VjOolWYAAAAABJRU5ErkJggg==\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAJ7klEQVR4nO3dMW7jMABFwc0ipXz/g1q9UqfjA0ib\\\n",
+       "imdqg1FkGHhg87+u67r+LXSe58rjAQDgl+M4lp7/f+npAADwxwhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEHy/+wGA13s8HkOfez6fi58EAO7HDTQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIDKnATRg/AYA9uIEGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIDAEiHTjSzmWcv7beY78/7/jtH1yRG+c4B53EADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAwJAKw2aOOnyK0Xdm5AIA7sMNNAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABNssEc5cubPq1n3C+3/H/zj6uZFn2/W9so7vHGBP\\\n",
+       "bqABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACDYZomQNWau77HOyOLc\\\n",
+       "6Hf56rMA4NO4gQYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAADBNkMqBhvWGH2v\\\n",
+       "Blf25zcCAHtwAw0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAMHXdV3X\\\n",
+       "yj9wnufK43mhmWuFVvUAgFWO41h6vhtoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEHy/+wG4j9Hxk5mDKwAAu3EDDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgSVCphtdLAQAuCM30AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
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+       "\"\n",
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+       "\"\n",
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+       "AAAQCGgAAAi+Af/DrWjclDbLAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        anim5c6c7c07d51044889cc7bf52ae0ec7ee = new Animation(frames, img_id, slider_id, 50.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 177,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "glider_gun =\\\n",
+    "[[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],\n",
+    " [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],\n",
+    " [0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1],\n",
+    " [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1],\n",
+    " [1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],\n",
+    " [1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0],\n",
+    " [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],\n",
+    " [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],\n",
+    " [0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]]\n",
+    "\n",
+    "life_animation(pattern((glider_gun, 1, 1)), frames=180, interval=50, mode='once')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Logic"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 164,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "reverse_gun = [i[::-1] for i in glider_gun]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 165,
+   "metadata": {
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_img84562aa8682d4bde84c6335f023a82cf\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_slider84562aa8682d4bde84c6335f023a82cf\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"anim84562aa8682d4bde84c6335f023a82cf.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim84562aa8682d4bde84c6335f023a82cf.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_select84562aa8682d4bde84c6335f023a82cf\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_84562aa8682d4bde84c6335f023a82cf\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio1_84562aa8682d4bde84c6335f023a82cf\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_84562aa8682d4bde84c6335f023a82cf\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio2_84562aa8682d4bde84c6335f023a82cf\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_84562aa8682d4bde84c6335f023a82cf\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_84562aa8682d4bde84c6335f023a82cf\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_img84562aa8682d4bde84c6335f023a82cf\";\n",
+       "    var slider_id = \"_anim_slider84562aa8682d4bde84c6335f023a82cf\";\n",
+       "    var loop_select_id = \"_anim_loop_select84562aa8682d4bde84c6335f023a82cf\";\n",
+       "    var frames = new Array(180);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAKUElEQVR4nO3dwW7aQBRA0VJ1af7/Q/HeXSJRUnEB\\\n",
+       "M9g+ZxkpZIJtdDXiaU7Lsiy/2K15nkcvAQAOZ5qm0UtgRb9HLwAAALZEQAMAQCCgAQAgENAAABD8\\\n",
+       "Gb0A4Hnn8/mfn10ulwErYc9u7zP3GHB0dqABACAQ0AAAEAhoAAAIBDQAAASGCOELGQ5ka9yzwJHY\\\n",
+       "gQYAgEBAAwBAIKABACA4LcuyjF4E65nnefQShrj3fcx7RnxH85G1HeW7o998nZ7l+l596/X91nWx\\\n",
+       "L9M0jV4CK7IDDQAAgYAGAIBAQAMAQCCgAQAgcJAKu3A7FPTK8I8DIWC7Hnl+H32efRYAP7EDDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgMER4QFs/KW3twZ57r/XOIUWu9vg+7vF/+lbf8Fnw7r/5Tk5chPXYgQYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEBgi5NCeHQh6ZZDona+/pYEmtuuRIdq178VHB+Ie+V3PCPAqO9AAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAJDhAdkgObq2fdi7ffQNWJrRjwTTtr7v6P+3/AJdqABACAQ0AAAEAhoAAAI\\\n",
+       "TsuyLKMXwXrmeR69hI9450EJDieB7Xrn8+uzgFdM0zR6CazIDjQAAAQCGgAAAgENAACBgAYAgMAQ\\\n",
+       "4c4dZYjwlgMWgJ/4fOATDBHumx1oAAAIBDQAAAQCGgAAAgENAACBIcKdO+oQIQCMZIhw3+xAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAADBX4gkseC4wfZnAAAA\\\n",
+       "AElFTkSuQmCC\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAKQElEQVR4nO3dsW7bMBRA0aboaP//h8a7Oje1AV4n\\\n",
+       "tijqnDFLSEQKLgg98GPbtu0Xy7rdbnsvAQBO53K57L0EXuj33gsAAIAjEdAAABAIaAAACAQ0AAAE\\\n",
+       "f/ZeADDmer3+97PPz88dVsLZeRaBs3MCDQAAgYAGAIBAQAMAQCCgAQAgMEQIE/g6lGUgixUYNgRW\\\n",
+       "5QQaAAACAQ0AAIGABgCAwDfQLGnmby9H1jbz+n/SvX3ec6S9j+zpSPu55976R5/ZWZ/tWdcFzMkJ\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAwBAhSxgdRns3g0nwr5HBwlneEe8v8IgTaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgSHCEzr6TWl7rP/Z33mkm9j2sOK+V9zTT3r2+X/1rZWj7+qR3t8Vb/qEWTiBBgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQGCJkarPeMPgdz97EdqThJdY2+iye5Zmd9SZF4HWcQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAwRntCRBlxGB5OO7kh/Exh1lud61n3Oui5YgRNoAAAIBDQAAAQCGgAAgo9t27a9F8Hr3G63vZfw\\\n",
+       "FiPfRfseEHhkdLbC/xFGXS6XvZfACzmBBgCAQEADAEAgoAEAIBDQAAAQuEiFJXwd7FnxshXgvQwM\\\n",
+       "Ao84gQYAgEBAAwBAIKABACAQ0AAAELiJcHFnuYkQAGbiJsK1OYEGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
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+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg\\\n",
+       "ENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
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+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAACC3zp+5rx2P/9VAAAAAElFTkSu\\\n",
+       "QmCC\\\n",
+       "\"\n",
+       "  frames[179] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAK2UlEQVR4nO3dy27iWhBAUdLK0Pz/h+K57/gSWs0G\\\n",
+       "nOPHWrOOkqigTbR15JK/lmVZLhzWPM+jRwCA05mmafQIrOjP6AEAAGBPBDQAAAQCGgAAAgENAADB\\\n",
+       "9+gBgOdcr9cfX7vdbi9/HzzyzPXjGgPOzgk0AAAEAhoAAAIBDQAAgYAGAIDAEiFswP1S1qOFLEta\\\n",
+       "bMWz16JlQ+ConEADAEAgoAEAIBDQAAAQuAea0zjL/Zh7ek2P/k8eOdpr2vLr2fJsn3KWvwXAepxA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAILBFySM8up41YYlt7gcmCFO/45PXz6OdGXP+v/pzPDfA3TqABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAARfy7Iso4dgPfM8//ja3p+U9sirr+nZxaH77/v0+7P274cRtrIw+8zn66xP\\\n",
+       "xbxc9vWa9mSaptEjsCIn0AAAEAhoAAAIBDQAAAQCGgAAAk8iZHdefdLYO+6XbLb81LItz8b2bfX6\\\n",
+       "2cpcW5kDGMsJNAAABAIaAAACAQ0AAIGABgCAwBLhCe194eWdp4i9au0nBT7z+ywvsRXPXoufvD7f\\\n",
+       "eZLoJ+3pM7enWWFvnEADAEAgoAEAIBDQAAAQfC3LsowegvXM8zx6hCE+fU+0ewlhHz752fe55x3T\\\n",
+       "NI0egRU5gQYAgEBAAwBAIKABACAQ0AAAEFgiPLizLhE+4kEkwOXibwG/wxLhsTmBBgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQWCI8OEuEx2YZit9wf525xuDfLBEemxNoAAAIBDQAAAQCGgAAAgENAADB9+gBgJ8s\\\n",
+       "B7I3rlngTJxAAwBAIKABACAQ0AAAEAhoAAAILBHCBj1avnq0pAUjWBgEzs4JNAAABAIaAAACAQ0A\\\n",
+       "AMHXsizL6CFYzzzPo0cAgNOZpmn0CKzICTQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AADB9+gBgP27Xq//+/ftdhs0ybHcv6+Xi/cWYAucQAMAQCCgAQAgENAAABC4Bxp42/19ue7d7bxn\\\n",
+       "APvhBBoAAAIBDQAAgYAGAIBAQAMAQGCJEEgeLbuxjmffa8uGAL/LCTQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gOBrWZZl9BCsZ57n0SMAwOlM0zR6BFbkBBoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg\\\n",
+       "ENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg\\\n",
+       "ENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoA\\\n",
+       "AAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0\\\n",
+       "AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBA\\\n",
+       "QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAA\\\n",
+       "CAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAA\\\n",
+       "gYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIB\\\n",
+       "DQAAgYAGAIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAg\\\n",
+       "ENAAABAIaAAACP4D7W7zVS03mCAAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        anim84562aa8682d4bde84c6335f023a82cf = new Animation(frames, img_id, slider_id, 50.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 165,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "life_animation(pattern((glider_gun, 1, 1), (reverse_gun, 46, 1), width=100, height=100), frames=180, interval=50, mode='once')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Other patterns"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 52,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "diehard = [[0, 0, 0, 0, 0, 0, 1, 0],\n",
+    "           [1, 1, 0, 0, 0, 0, 0, 0],\n",
+    "           [0, 1, 0, 0, 0, 1, 1, 1]]\n",
+    "\n",
+    "boat = [[1, 1, 0],\n",
+    "        [1, 0, 1],\n",
+    "        [0, 1, 0]]\n",
+    "\n",
+    "r_pentomino = [[0, 1, 1],\n",
+    "               [1, 1, 0],\n",
+    "               [0, 1, 0]]\n",
+    "\n",
+    "beacon = [[0, 0, 1, 1],\n",
+    "          [0, 0, 1, 1],\n",
+    "          [1, 1, 0, 0],\n",
+    "          [1, 1, 0, 0]]\n",
+    "\n",
+    "acorn = [[0, 1, 0, 0, 0, 0, 0],\n",
+    "         [0, 0, 0, 1, 0, 0, 0],\n",
+    "         [1, 1, 0, 0, 1, 1, 1]]\n",
+    "\n",
+    "spaceship = [[0, 0, 1, 1, 0],\n",
+    "             [1, 1, 0, 1, 1],\n",
+    "             [1, 1, 1, 1, 0],\n",
+    "             [0, 1, 1, 0, 0]]\n",
+    "\n",
+    "block_switch_engine = [[0, 0, 0, 0, 0, 0, 1, 0],\n",
+    "                       [0, 0, 0, 0, 1, 0, 1, 1],\n",
+    "                       [0, 0, 0, 0, 1, 0, 1, 0],\n",
+    "                       [0, 0, 0, 0, 1, 0, 0, 0],\n",
+    "                       [0, 0, 1, 0, 0, 0, 0, 0],\n",
+    "                       [1, 0, 1, 0, 0, 0, 0, 0]]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 178,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_imgb5db5ad2dc4742d187a38c4d4b5819e0\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_sliderb5db5ad2dc4742d187a38c4d4b5819e0\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"animb5db5ad2dc4742d187a38c4d4b5819e0.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"animb5db5ad2dc4742d187a38c4d4b5819e0.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_selectb5db5ad2dc4742d187a38c4d4b5819e0\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_b5db5ad2dc4742d187a38c4d4b5819e0\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio1_b5db5ad2dc4742d187a38c4d4b5819e0\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_b5db5ad2dc4742d187a38c4d4b5819e0\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio2_b5db5ad2dc4742d187a38c4d4b5819e0\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_b5db5ad2dc4742d187a38c4d4b5819e0\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio3_b5db5ad2dc4742d187a38c4d4b5819e0\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_imgb5db5ad2dc4742d187a38c4d4b5819e0\";\n",
+       "    var slider_id = \"_anim_sliderb5db5ad2dc4742d187a38c4d4b5819e0\";\n",
+       "    var loop_select_id = \"_anim_loop_selectb5db5ad2dc4742d187a38c4d4b5819e0\";\n",
+       "    var frames = new Array(100);\n",
+       "    \n",
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+       "QmCC\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
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+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAA\\\n",
+       "EAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAA\\\n",
+       "AgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQA\\\n",
+       "AAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBA\\\n",
+       "AwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAho\\\n",
+       "AAAIBDQAAASPqy/APa3rOvR327adfBMAgMYLNAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABD8ALPK55e75DdEAAAAASUVORK5CYII=\\\n",
+       "\"\n",
+       "  frames[99] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
+       "dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAK5klEQVR4nO3dsW7bShRF0ecHleT/f6jYM6WBBElm\\\n",
+       "O0OTEteqjZGsauM252Pf9/2/A23bduTzXNC6rn/9m+fzOe2t8h4A8P6WZTn0/f8PfR0AAN6MgAYA\\\n",
+       "gEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAADB4+wvAH8yc7HQWiEAMIMLNAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgMqbyokeGQ2UaHSGYOlpzxfwIA/IkLNAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABJYIL2hkfW/m2t9dzFw19PsD\\\n",
+       "wH25QAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIDAkArTzRyCmTlYMnNIBQC4\\\n",
+       "LxdoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIPvZ934/8gG3bjnz+\\\n",
+       "tq68qjdzPRAAoFqW5dD3XaABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKAB\\\n",
+       "ACB4nP0F+JrRtb/RxULrgZ9GfjO/FwDclws0AAAEAhoAAAIBDQAAgYAGAIBAQAMAQCCgAQAgENAA\\\n",
+       "ABAIaAAACAypvKjRgZSZ7xkP+WSgBgDuywUaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACS4QXdMYq4MhnWt/7NPo/+s0A4P24QAMAQCCgAQAgENAAABAIaAAACAQ0AAAE\\\n",
+       "AhoAAAIBDQAAgYAGAIDAkMqLGh3oGPXdQx6zB0Zmjs+M/J2BFAC4LxdoAAAIBDQAAAQCGgAAAgEN\\\n",
+       "AACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIPvZ934/8gG3bjnyeF/XqS4oAwHUty3Lo+y7QAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQPM7+AtyT5UAA4FW5QAMAQCCg\\\n",
+       "AQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIDAkAocaF3Xs7/CPzF4AwC/coEGAIBAQAMA\\\n",
+       "QCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIDAEiG3YRWwG/3NLBYCcCcu0AAAEAho\\\n",
+       "AAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBAIKABACAwpMJbGBn8GB37mDm4YmAEAN6PCzQAAAQC\\\n",
+       "GgAAAgENAACBgAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAASWCOECZi4pzmRJEQB+5QINAACB\\\n",
+       "gAYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBJUL4gtkLfRb/AOB1uEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAwJAKfMG6rkN/N3MgZfQzRxhuAYCvc4EG\\\n",
+       "AIBAQAMAQCCgAQAgENAAABAIaAAACAQ0AAAEAhoAAAIBDQAAgYAGAIDAEiGXdsbi38zPm7keOMrK\\\n",
+       "IAAcywUaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABIZU4CdXHSK56vcCgLtx\\\n",
+       "gQYAgEBAAwBAIKABACAQ0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgOBj3/f9yA/Ytu3I53lz\\\n",
+       "67pOe+vKS34z/88RV/4tAOBfLcty6Psu0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEDzO/gLc0+jy3l0W82b+n9+9aggAd+MCDQAAgYAGAIBAQAMAQCCgAQAgENAAABAI\\\n",
+       "aAAACAQ0AAAEAhoAAAJDKpxidDjkjFGQq463GJ8BgGtwgQYAgEBAAwBAIKABACAQ0AAAEAhoAAAI\\\n",
+       "BDQAAAQCGgAAAgENAACBgAYAgMASIbwIC4MAcA0u0AAAEAhoAAAIBDQAAAQCGgAAAgENAACBgAYA\\\n",
+       "gEBAAwBAIKABACAwpMKljY6HrOt6ybcAgPfjAg0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIElQt7CyDLgyMIgAMDfuEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEBgiZC3MHNlcGTVEAC4LxdoAAAIBDQAAAQCGgAAAgENAACBgAYAgEBAAwBA\\\n",
+       "IKABACAQ0AAAEBhS4S0YPwEAvosLNAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAAC\\\n",
+       "AQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEA\\\n",
+       "IBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIa\\\n",
+       "AAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAg\\\n",
+       "oAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAA\\\n",
+       "BAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEAD\\\n",
+       "AEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgE\\\n",
+       "NAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCA\\\n",
+       "QEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgA\\\n",
+       "AAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGA\\\n",
+       "BgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQ\\\n",
+       "CGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0A\\\n",
+       "AIGABgCAQEADAEAgoAEAIBDQAAAQCGgAAAgENAAABAIaAAACAQ0AAIGABgCAQEADAEAgoAEAIBDQ\\\n",
+       "AAAQCGgAAAgENAAABAIaAACCx9lfgHta13Xqe8/nc+p7AAC/4wINAACBgAYAgEBAAwBAIKABACAQ\\\n",
+       "0AAAEAhoAAAIBDQAAAQCGgAAAgENAADBD25Ay+SOiWcLAAAAAElFTkSuQmCC\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        animb5db5ad2dc4742d187a38c4d4b5819e0 = new Animation(frames, img_id, slider_id, 50.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 178,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "life_animation(pattern((block_switch_engine, 10, 10)), frames=100, interval=50, mode='once')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "### Fun and art"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 179,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from PIL import Image\n",
+    "import numpy as np\n",
+    "\n",
+    "im = Image.open('conwaycabify.png')\n",
+    "a = 0+~np.array(im.convert('1'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 180,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "<link rel=\"stylesheet\"\n",
+       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/\n",
+       "css/font-awesome.min.css\">\n",
+       "<script language=\"javascript\">\n",
+       "  function isInternetExplorer() {\n",
+       "    ua = navigator.userAgent;\n",
+       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
+       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
+       "  }\n",
+       "\n",
+       "  /* Define the Animation class */\n",
+       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
+       "    this.img_id = img_id;\n",
+       "    this.slider_id = slider_id;\n",
+       "    this.loop_select_id = loop_select_id;\n",
+       "    this.interval = interval;\n",
+       "    this.current_frame = 0;\n",
+       "    this.direction = 0;\n",
+       "    this.timer = null;\n",
+       "    this.frames = new Array(frames.length);\n",
+       "\n",
+       "    for (var i=0; i<frames.length; i++)\n",
+       "    {\n",
+       "     this.frames[i] = new Image();\n",
+       "     this.frames[i].src = frames[i];\n",
+       "    }\n",
+       "    var slider = document.getElementById(this.slider_id);\n",
+       "    slider.max = this.frames.length - 1;\n",
+       "    if (isInternetExplorer()) {\n",
+       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
+       "        // with W3C specification. It ignores oninput and onchange behaves\n",
+       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
+       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
+       "        slider.setAttribute('oninput', null);\n",
+       "    }\n",
+       "    this.set_frame(this.current_frame);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.get_loop_state = function(){\n",
+       "    var button_group = document[this.loop_select_id].state;\n",
+       "    for (var i = 0; i < button_group.length; i++) {\n",
+       "        var button = button_group[i];\n",
+       "        if (button.checked) {\n",
+       "            return button.value;\n",
+       "        }\n",
+       "    }\n",
+       "    return undefined;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.set_frame = function(frame){\n",
+       "    this.current_frame = frame;\n",
+       "    document.getElementById(this.img_id).src =\n",
+       "            this.frames[this.current_frame].src;\n",
+       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.next_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.previous_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.first_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(0);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.last_frame = function()\n",
+       "  {\n",
+       "    this.set_frame(this.frames.length - 1);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.slower = function()\n",
+       "  {\n",
+       "    this.interval /= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.faster = function()\n",
+       "  {\n",
+       "    this.interval *= 0.7;\n",
+       "    if(this.direction > 0){this.play_animation();}\n",
+       "    else if(this.direction < 0){this.reverse_animation();}\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_forward = function()\n",
+       "  {\n",
+       "    this.current_frame += 1;\n",
+       "    if(this.current_frame < this.frames.length){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.first_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.last_frame();\n",
+       "        this.reverse_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.last_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.anim_step_reverse = function()\n",
+       "  {\n",
+       "    this.current_frame -= 1;\n",
+       "    if(this.current_frame >= 0){\n",
+       "      this.set_frame(this.current_frame);\n",
+       "    }else{\n",
+       "      var loop_state = this.get_loop_state();\n",
+       "      if(loop_state == \"loop\"){\n",
+       "        this.last_frame();\n",
+       "      }else if(loop_state == \"reflect\"){\n",
+       "        this.first_frame();\n",
+       "        this.play_animation();\n",
+       "      }else{\n",
+       "        this.pause_animation();\n",
+       "        this.first_frame();\n",
+       "      }\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.pause_animation = function()\n",
+       "  {\n",
+       "    this.direction = 0;\n",
+       "    if (this.timer){\n",
+       "      clearInterval(this.timer);\n",
+       "      this.timer = null;\n",
+       "    }\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.play_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = 1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_forward();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "\n",
+       "  Animation.prototype.reverse_animation = function()\n",
+       "  {\n",
+       "    this.pause_animation();\n",
+       "    this.direction = -1;\n",
+       "    var t = this;\n",
+       "    if (!this.timer) this.timer = setInterval(function() {\n",
+       "        t.anim_step_reverse();\n",
+       "    }, this.interval);\n",
+       "  }\n",
+       "</script>\n",
+       "\n",
+       "<style>\n",
+       ".animation {\n",
+       "    display: inline-block;\n",
+       "    text-align: center;\n",
+       "}\n",
+       "input[type=range].anim-slider {\n",
+       "    width: 374px;\n",
+       "    margin-left: auto;\n",
+       "    margin-right: auto;\n",
+       "}\n",
+       ".anim-buttons {\n",
+       "    margin: 8px 0px;\n",
+       "}\n",
+       ".anim-buttons button {\n",
+       "    padding: 0;\n",
+       "    width: 36px;\n",
+       "}\n",
+       ".anim-state label {\n",
+       "    margin-right: 8px;\n",
+       "}\n",
+       ".anim-state input {\n",
+       "    margin: 0;\n",
+       "    vertical-align: middle;\n",
+       "}\n",
+       "</style>\n",
+       "\n",
+       "<div class=\"animation\">\n",
+       "  <img id=\"_anim_img8bb55a5e14d74d8fa87ab712f53f1fb3\">\n",
+       "  <div class=\"anim-controls\">\n",
+       "    <input id=\"_anim_slider8bb55a5e14d74d8fa87ab712f53f1fb3\" type=\"range\" class=\"anim-slider\"\n",
+       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
+       "           oninput=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.set_frame(parseInt(this.value));\"></input>\n",
+       "    <div class=\"anim-buttons\">\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.slower()\"><i class=\"fa fa-minus\"></i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.first_frame()\"><i class=\"fa fa-fast-backward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.previous_frame()\">\n",
+       "          <i class=\"fa fa-step-backward\"></i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.reverse_animation()\">\n",
+       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.pause_animation()\"><i class=\"fa fa-pause\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.play_animation()\"><i class=\"fa fa-play\"></i>\n",
+       "          </button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.next_frame()\"><i class=\"fa fa-step-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.last_frame()\"><i class=\"fa fa-fast-forward\">\n",
+       "          </i></button>\n",
+       "      <button onclick=\"anim8bb55a5e14d74d8fa87ab712f53f1fb3.faster()\"><i class=\"fa fa-plus\"></i></button>\n",
+       "    </div>\n",
+       "    <form action=\"#n\" name=\"_anim_loop_select8bb55a5e14d74d8fa87ab712f53f1fb3\" class=\"anim-state\">\n",
+       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_8bb55a5e14d74d8fa87ab712f53f1fb3\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio1_8bb55a5e14d74d8fa87ab712f53f1fb3\">Once</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_8bb55a5e14d74d8fa87ab712f53f1fb3\"\n",
+       "             >\n",
+       "      <label for=\"_anim_radio2_8bb55a5e14d74d8fa87ab712f53f1fb3\">Loop</label>\n",
+       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_8bb55a5e14d74d8fa87ab712f53f1fb3\"\n",
+       "             checked>\n",
+       "      <label for=\"_anim_radio3_8bb55a5e14d74d8fa87ab712f53f1fb3\">Reflect</label>\n",
+       "    </form>\n",
+       "  </div>\n",
+       "</div>\n",
+       "\n",
+       "\n",
+       "<script language=\"javascript\">\n",
+       "  /* Instantiate the Animation class. */\n",
+       "  /* The IDs given should match those used in the template above. */\n",
+       "  (function() {\n",
+       "    var img_id = \"_anim_img8bb55a5e14d74d8fa87ab712f53f1fb3\";\n",
+       "    var slider_id = \"_anim_slider8bb55a5e14d74d8fa87ab712f53f1fb3\";\n",
+       "    var loop_select_id = \"_anim_loop_select8bb55a5e14d74d8fa87ab712f53f1fb3\";\n",
+       "    var frames = new Array(500);\n",
+       "    \n",
+       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
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+       "6hLmFgA+ADxn7RRBEGLeQNyEf75er9ePhT2fz+ohAABwocfjUT2Ej/6negAAALATARoAAAICNAAA\\\n",
+       "BARoAAAICNAAABAQoAEAICBAAwBAQIAGAICAAA0AAAEBGgAAAgI0AAAEBGgAAAgI0AAAEBCgAQAg\\\n",
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+       "ARoAAAICNAAABARoAAAICNAAABAQoAEAICBAAwBAQIAGAICAAA0AAAEBGgAAAgI0AAAEBGgAAAgI\\\n",
+       "0AAAEBCgAQAgIEADAEBAgAYAgIAADQAAAQEaAAACAjQAAAR+VQ+Asb6+vqqHMNTv37+rhwAA8I0d\\\n",
+       "aAAACAjQAAAQEKABACCgA72ZtOO8W4f4/f5a97vb/QEA+7MDDQAAAQEaAAACAjQAAAR0oBd3tw5w\\\n",
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+       "/c5cvT7S6+k8X6v6XOirWT9z2YEGAICAAA0AAAEBGgAAAjrQAPxXOtfX0lkda7VzoT3fs9iBBgCA\\\n",
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+       "RK5CYII=\\\n",
+       "\"\n",
+       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAHgCAYAAACMxVqsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n",
+       "AAASdAAAEnQB3mYfeAAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0\\\n",
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+       "gg==\\\n",
+       "\"\n",
+       "\n",
+       "\n",
+       "    /* set a timeout to make sure all the above elements are created before\n",
+       "       the object is initialized. */\n",
+       "    setTimeout(function() {\n",
+       "        anim8bb55a5e14d74d8fa87ab712f53f1fb3 = new Animation(frames, img_id, slider_id, 299.0,\n",
+       "                                 loop_select_id);\n",
+       "    }, 0);\n",
+       "  })()\n",
+       "</script>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "execution_count": 180,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "life_animation(a[::5,::5], dpi=120, fps=30,frames=500, mode='reflect')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "# Surreal numbers\n",
+    "\n",
+    "The achievement for which Conway himself was most proud, according to Kochen, was his invention of a new system of numbers, the surreal numbers. This continuum of numbers includes not only real numbers such as integers, fractions and irrational numbers such as pi, but also the infinitesimal and infinite numbers. \n",
+    "\n",
+    "Mathematician John Horton Conway first invented surreal numbers, and Donald Knuth (TAOCP) introduced them to the public in 1974 in his mathematical novelette \"Surreal Numbers:  How Two Ex-Students Turned  on  to  Pure  Mathematics  and  Found  Total  Happiness\".\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "![](https://www.researchgate.net/profile/Mickael_Matusinski/publication/306186762/figure/fig1/AS:395755064971265@1471366768199/The-tree-of-surreal-numbers.png)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 181,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "\n",
+       "        <iframe\n",
+       "            width=\"560\"\n",
+       "            height=\"315\"\n",
+       "            src=\"https://www.youtube.com/embed/mPn2AdMH7UQ\"\n",
+       "            frameborder=\"0\"\n",
+       "            allowfullscreen\n",
+       "        ></iframe>\n",
+       "        "
+      ],
+      "text/plain": [
+       "<IPython.lib.display.IFrame at 0x7f46601b07f0>"
+      ]
+     },
+     "execution_count": 181,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from IPython.display import IFrame\n",
+    "IFrame('https://www.youtube.com/embed/mPn2AdMH7UQ', 560, 315)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "How can surreal numbers represent irrational numbers such as $\\pi$?\n",
+    "\n",
+    "\n",
+    "One intuitive way to go around this is that you start with the closest integer:\n",
+    "\n",
+    "$3 = \\{0,1,2 | 4\\} = \\{ L | R\\}$.\n",
+    "\n",
+    "And then continue getting closer to $\\pi$ by adding rationals to either $L$ or $R$.\n",
+    "A strategy to calculate each rational ($a_n$) could be:\n",
+    "\n",
+    "$a_(n) = a_{n-1} + 2^{-n} * sign(\\pi-a_{n-1})$\n",
+    "\n",
+    "\n",
+    "If $a_n < \\pi$, $a_n$ is added to $L$, otherwise it goes to $R$. \n",
+    "\n",
+    "$3 = \\{0,1,2, 3 | \\} $\n",
+    "\n",
+    "$3.5 = \\{0,1,2, 3 | 4\\} $ # Adding 4\n",
+    "\n",
+    "$3.25 = \\{0,1,2, 3 | 3.5 4\\}$  # Adding 3.5\n",
+    "...\n",
+    "\n",
+    "\n",
+    "$ \\pi = \\{ 3.14150... | 3.141509...\\}\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Free Will Theorem"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "if we have a free will in the sense that our choices are not a function of the past, then, subject to certain assumptions, so must some elementary particles."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# References"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "* [Code for game of life](https://jakevdp.github.io/blog/2013/08/07/conways-game-of-life/)\n",
+    "* [A Turing machine made in Life](http://www.rendell-attic.org/gol/tm.htm)\n",
+    "* John Horton Conway, a ‘Magical Genius’ in Math, Dies at 82 [NY Times](https://www.nytimes.com/2020/04/15/technology/john-horton-conway-dead-coronavirus.html)\n",
+    "* [Implementation of logical functions in the Game of Life](https://www.rennard.org/alife/CollisionBasedRennard.pdf)\n",
+    "* [Surreal Numbers:  How two ex-students turned on to pure mathematics and found total happiness ](https://www-cs-faculty.stanford.edu/~knuth/sn.html)"
+   ]
+  }
+ ],
+ "metadata": {
+  "celltoolbar": "Slideshow",
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
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