dragon_curve2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "next_pos (generic function with 1 method)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function next_pos(v)\n",
    "    f₁(v) = [1/2 -1/2; 1/2  1/2]*v + [1/2, -1/2]\n",
    "    f₂(v) = [0 -1; 1 0]*f₁(v)\n",
    "    \n",
    "    rand([f₁ f₂])(v)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mSaved animation to https://user-images.githubusercontent.com/35671444/37461322-4fbbf24a-2891-11e8-87bf-c384e061bdd1.gif\n",
      "\u001b[39m"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1943.213919 seconds (1.28 G allocations: 47.840 GiB, 1.45% gc time)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"https://user-images.githubusercontent.com/35671444/37461322-4fbbf24a-2891-11e8-87bf-c384e061bdd1.gif\" />"
      ],
      "text/plain": [
       "Plots.AnimatedGif(\"https://user-images.githubusercontent.com/35671444/37461322-4fbbf24a-2891-11e8-87bf-c384e061bdd1.gif\")"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "gr(legend=false, color=:blue)\n",
    "ENV[\"PLOTS_TEST\"]=\"true\"\n",
    "\n",
    "function f()    \n",
    "    v = [0,0]\n",
    "    plot([v[1],v[1]+0.003], [v[2],v[2]+0.001], size=(500,500), xlims=(-1,2), ylims=(-1,2))\n",
    "    @gif for i in 1:100000\n",
    "        v = next_pos(v)\n",
    "        plot!([v[1],v[1]+0.003], [v[2],v[2]+0.003])\n",
    "    end every 200\n",
    "end\n",
    "@time f()"
   ]
  }
 ],
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