source-code/cellular_automata.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1dc48565",
   "metadata": {},
   "source": [
    "# Requirements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "3db944d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import defaultdict\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cff1935c",
   "metadata": {},
   "source": [
    "# Implementation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83bd154f",
   "metadata": {},
   "source": [
    "First we define a class to evolve the cellular autotomaton.  A runner is created for a specific rule, specified by a number between 0 and 255.  For instance, rule 47 would translate to:\n",
    "* $000 \\mapsto 1$\n",
    "* $001 \\mapsto 1$\n",
    "* $010 \\mapsto 1$\n",
    "* $011 \\mapsto 1$\n",
    "* $100 \\mapsto 0$\n",
    "* $101 \\mapsto 1$\n",
    "* $110 \\mapsto 0$\n",
    "* $111 \\mapsto 0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8a9f4acc",
   "metadata": {},
   "outputs": [],
   "source": [
    "class AutomatonRunner:\n",
    "    \n",
    "    def __init__(self, rule_nr):\n",
    "        self._compute_rules(rule_nr)\n",
    "        \n",
    "    def _compute_rules(self, rule_nr):\n",
    "        self._rules = []\n",
    "        for _ in range(8):\n",
    "            self._rules.append(rule_nr % 2)\n",
    "            rule_nr //= 2\n",
    "    \n",
    "    def _apply_rule(self, environment):\n",
    "        env_nr = 4*environment[0] + 2*environment[1] + environment[2]\n",
    "        return self._rules[env_nr]\n",
    "    \n",
    "    def _make_environment(self, automaton, i):\n",
    "        if 0 < i < len(automaton) - 1:\n",
    "            return automaton[i - 1:i + 2]\n",
    "        elif i == 0:\n",
    "            return [automaton[-1]] + automaton[:2]\n",
    "        elif i == len(automaton) - 1:\n",
    "            return automaton[i - 1:] + [automaton[0]]\n",
    "        \n",
    "    def next_generation(self, automaton):\n",
    "        ng_automaton = []\n",
    "        for i in range(len(automaton)):\n",
    "            environment = self._make_environment(automaton, i)\n",
    "            ng_automaton.append(self._apply_rule(environment))\n",
    "        return ng_automaton\n",
    "                                \n",
    "    def evolve(self, automaton, nr_generations):\n",
    "        generations = [automaton]\n",
    "        for _ in range(nr_generations):\n",
    "            generations.append(self.next_generation(generations[-1]))\n",
    "        return generations\n",
    "    \n",
    "    def __str__(self):\n",
    "        auto_str = ''\n",
    "        for i, result in enumerate(self._rules):\n",
    "            auto_str += f'{i//4 % 2}{i//2 % 2}{i % 2} -> {result}\\n'\n",
    "        return auto_str"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fb935e0",
   "metadata": {},
   "source": [
    "To verify the implementation, we check whether the rules have been created correctly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bb1f302f",
   "metadata": {},
   "outputs": [],
   "source": [
    "runner = AutomatonRunner(47)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6b715aca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "000 -> 1\n",
      "001 -> 1\n",
      "010 -> 1\n",
      "011 -> 1\n",
      "100 -> 0\n",
      "101 -> 1\n",
      "110 -> 0\n",
      "111 -> 0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(str(runner))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9468158",
   "metadata": {},
   "source": [
    "# Running an automaton"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d3d041d",
   "metadata": {},
   "source": [
    "We create an automaton that is reandomly initialized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9568d8e6",
   "metadata": {},
   "outputs": [],
   "source": [
    "automaton = random.choices((0, 1), k=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1455da19",
   "metadata": {},
   "outputs": [],
   "source": [
    "generations = runner.evolve(automaton, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7eb5a5bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f9b7c357a90>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(generations)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eee95e8e",
   "metadata": {},
   "source": [
    "# Exploring rules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e5cf883c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 7200x7200 with 256 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr_cols = 16\n",
    "nr_generations = 80\n",
    "figure, axes = plt.subplots(256//nr_cols, nr_cols, figsize=(100, 100))\n",
    "automaton = random.choices((0, 1), k=20)\n",
    "for rule_nr in range(256):\n",
    "    row_nr = rule_nr//nr_cols\n",
    "    col_nr = rule_nr % nr_cols\n",
    "    runner = AutomatonRunner(rule_nr)\n",
    "    generations = runner.evolve(automaton, nr_generations)\n",
    "    axes[row_nr][col_nr].imshow(generations, aspect='auto')\n",
    "    axes[row_nr][col_nr].set_title(str(rule_nr));\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f56b134f",
   "metadata": {},
   "source": [
    "Rule 129 seems to be interesting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0995d7f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "runner = AutomatonRunner(129)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "606962b3",
   "metadata": {},
   "outputs": [],
   "source": [
    "automaton = random.choices((0, 1), k=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1c6d07cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f9b3f871a50>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(runner.evolve(automaton, 300))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da60c054",
   "metadata": {},
   "source": [
    "# Finding cycles"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9b1a17e",
   "metadata": {},
   "source": [
    "It is clear that all automata have to cycle eventually.  If the number of cells in the automaton is $N$, there are only $2^N$ distinct configurations, so the maximum length of a cycle must be less than or equal to $2^N$.  However, we can compute the distribution of cycle lenghts over the rules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "55efb79d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_cycle(rule_nr, automaton, max_generations=100):\n",
    "    runner = AutomatonRunner(rule_nr)\n",
    "    generations = [automaton]\n",
    "    for gen_nr in range(max_generations):\n",
    "        generations.append(runner.next_generation(generations[-1]))\n",
    "        pos = generations.index(generations[-1])\n",
    "        if pos < len(generations) - 1:\n",
    "            return gen_nr, len(generations) - 1 - pos\n",
    "    return max_generations, None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e7368cf0",
   "metadata": {},
   "outputs": [],
   "source": [
    "automaton = random.choices((0, 1), k=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "772930bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 6)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "find_cycle(129, automaton)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "192236a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "lengths = defaultdict(lambda: 0)\n",
    "offsets = defaultdict(lambda: 0)\n",
    "for rule_nr in range(256):\n",
    "    offset, length = find_cycle(rule_nr, automaton, max_generations=1024)\n",
    "    offsets[offset] += 1\n",
    "    lengths[length] += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c6848940",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "collections.defaultdict"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(lengths)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "44899e47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "defaultdict(<function __main__.<lambda>()>,\n",
       "            {1: 78,\n",
       "             2: 24,\n",
       "             10: 80,\n",
       "             20: 34,\n",
       "             4: 8,\n",
       "             15: 8,\n",
       "             40: 2,\n",
       "             430: 4,\n",
       "             30: 4,\n",
       "             6: 10,\n",
       "             205: 4})"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lengths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "f07a0a8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 431 artists>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 36000x7200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = list(range(max(lengths) + 1))\n",
    "plt.rcParams['figure.figsize'] = (500, 100)\n",
    "plt.bar(x, [lengths[l] for l in x])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "d5f4ad15",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 21 artists>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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F/g44ARwAzgO3VdUV+yHeOufotaxMnxRwDviti3O9V6IkvwT8E/AQ8KNu+D2szIOP5VpqNsAl6UrX6hSKJF3xDHBJapQBLkmNMsAlqVEGuCQ1ygCXpEYZ4JLUqP8HceLKrj/KDgcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = list(range(21))\n",
    "plt.bar(x, [lengths[l] for l in x])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e87c6818",
   "metadata": {},
   "source": [
    "There are a few rules that have very large cycle lengths, although less than $2^N$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fbd53bd4",
   "metadata": {},
   "outputs": [],
   "source": [
    "for _ in range(20):\n",
    "    automaton = random.choices((0, 1), k=10)\n",
    "    "
   ]
  }
 ],
 "metadata": {
  "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": "3.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}