Barnsley_Fern.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "from moviepy.editor import *\n",
    "\n",
    "# %matplotlib notebook\n",
    "\n",
    "a = 0\n",
    "b = 0\n",
    "c = 0\n",
    "n = 15 # x value\n",
    "r = 12 # a,b,c value\n",
    "\n",
    "# The function you want to draw \n",
    "def f(x,A,B,C):\n",
    "    y = (A*x**2)+(B*x)+C\n",
    "    return y\n",
    "\n",
    "files = []\n",
    "\n",
    "for i in np.linspace(-r,r,25):\n",
    "    # For the graph sizing\n",
    "    fig, ax = plt.subplots(figsize=(10,5.625))\n",
    "\n",
    "\n",
    "    # Set the range for the axis\n",
    "    ax.set_xlim(-n, n)\n",
    "    ax.set_ylim(-n**2, n**2)\n",
    "    # The x axis and y axis\n",
    "    # x axis\n",
    "    plt.plot([-n,n],[0,0],color = \"#d9d9d9\")\n",
    "    # y axis\n",
    "    plt.plot([0,0],[-n**2,n**2],color = \"#d9d9d9\")\n",
    "    \n",
    "    x_data = np.linspace(-n,n,100)\n",
    "    y_data = f(x_data,1,i,c)\n",
    "    y_data_base = f(x_data,1,0,0)\n",
    "    # ax.set_facecolor('xkcd:mint green')\n",
    "    # This is the graph to be displayed\n",
    "    plt.plot(x_data,y_data, \"g\",label = \"b\",linewidth =1)\n",
    "    plt.plot(x_data,y_data_base,\"m\",label = \"b = \"+str(p),linewidth =2)\n",
    "    # plt.clf()\n",
    "    plt.xlabel(\"x-axis\")\n",
    "    plt.ylabel(\"y-axis\")\n",
    "    plt.legend([\"\",\"\",\"b = \"+str(i),\"b = 0\"])\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    name = \"Quadratic_b_is_\"+str(f\"{i:.2f}\")+\".jpg\"\n",
    "    plt.savefig(name,dpi = 250)\n",
    "    files.append(name)\n",
    "    plt.clf()\n",
    "    \n",
    "clip = ImageSequenceClip(files, fps = 5)\n",
    "video_name = \"Quadratic_b_\"+str(k)+\".mp4\"\n",
    "clip.write_videofile(video_name, fps = 15)\n",
    "import os\n",
    "for i in files:\n",
    "    # print(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 405x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "c = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "        c[i] = 1\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "        c[i] = 2\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "        c[i] = 3\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "        c[i] = 4\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5.625,10))\n",
    "plt.plot(x,y,'go',markersize = 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "9\n",
      "10\n",
      "11\n",
      "12\n",
      "13\n",
      "14\n",
      "15\n",
      "16\n",
      "17\n",
      "18\n",
      "19\n",
      "20\n",
      "21\n",
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     "data": {
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\n",
      "text/plain": [
       "<Figure size 405x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Very Slow code\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "\n",
    "Num_points = 10000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "        c[i] = 1\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "        c[i] = 2\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "        c[i] = 3\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "        c[i] = 4\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5.625,10))\n",
    "for i in range(Num_points):\n",
    "    print(i)\n",
    "    if c[i] == 1:\n",
    "        plt.plot(x[i],y[i],\"ro\",markersize = 1)\n",
    "    if c[i] == 2:\n",
    "        plt.plot(x[i],y[i],\"go\",markersize = 1)\n",
    "    if c[i] == 3:\n",
    "        plt.plot(x[i],y[i],\"bo\",markersize = 1)\n",
    "    if c[i] == 4:\n",
    "        plt.plot(x[i],y[i],\"yo\",markersize = 1)\n",
    "    # plt.hold(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "chararray([b'\\x90', b'g', b'g', ..., b'g', b'g', b'g'], dtype='|S1')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "t:   0%|          | 0/100 [00:00<?, ?it/s, now=None]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Building video Fern.mp4.\n",
      "Moviepy - Writing video Fern.mp4\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                              \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Done !\n",
      "Moviepy - video ready Fern.mp4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 405x720 with 0 Axes>"
      ]
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     "metadata": {},
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    {
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     "metadata": {},
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    {
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       "<Figure size 405x720 with 0 Axes>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<Figure size 405x720 with 0 Axes>"
      ]
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<Figure size 405x720 with 0 Axes>"
      ]
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     "metadata": {},
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    {
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       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
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    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "from moviepy.editor import *\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "\n",
    "files = []\n",
    "\n",
    "for i in range(0,Num_points,1000):\n",
    "    # For the graph sizing\n",
    "    fig, ax = plt.subplots(figsize=(5.625,10))\n",
    "    # The x axis and y axis\n",
    "    # x axis\n",
    "    plt.plot([-2.1820,2.6558],[0,0],color = \"w\") # Wikipedia\n",
    "    # y axis\n",
    "    plt.plot([0,0],[0,9.9983],color = \"w\")       # Wikipedia\n",
    "    \n",
    "    # ax.set_facecolor('xkcd:mint green')\n",
    "    # This is the graph to be displayed\n",
    "    plt.plot(x[0:i],y[0:i],'go',markersize = 1)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    name = \"Fern_\"+str(f\"{i:.2f}\")+\".jpg\"\n",
    "    plt.savefig(name,dpi = 350)\n",
    "    files.append(name)\n",
    "    plt.clf()\n",
    "    \n",
    "clip = ImageSequenceClip(files, fps = 15)\n",
    "video_name = \"Fern.mp4\"\n",
    "clip.write_videofile(video_name, fps = 15)\n",
    "import os\n",
    "for i in files:\n",
    "    # print(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "t:   0%|          | 0/100 [00:00<?, ?it/s, now=None]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Building video Fern_1.mp4.\n",
      "Moviepy - Writing video Fern_1.mp4\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                              \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Done !\n",
      "Moviepy - video ready Fern_1.mp4\n"
     ]
    },
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    {
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     "metadata": {},
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    {
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     "metadata": {},
     "output_type": "display_data"
    },
    {
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       "<Figure size 405x720 with 0 Axes>"
      ]
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<Figure size 405x720 with 0 Axes>"
      ]
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     "metadata": {},
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    {
     "data": {
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       "<Figure size 405x720 with 0 Axes>"
      ]
     },
     "metadata": {},
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    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "from moviepy.editor import *\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "\n",
    "files = []\n",
    "\n",
    "for i in range(0,Num_points,1000):\n",
    "    # For the graph sizing\n",
    "    fig, ax = plt.subplots(figsize=(5.625,10))\n",
    "    # The x axis and y axis\n",
    "    # x axis\n",
    "    plt.plot([-2.1820,2.6558],[0,0],color = \"w\") # Wikipedia\n",
    "    # y axis\n",
    "    plt.plot([0,0],[0,9.9983],color = \"w\")       # Wikipedia\n",
    "    \n",
    "    # ax.set_facecolor('xkcd:mint green')\n",
    "    # This is the graph to be displayed\n",
    "    plt.plot(x[0:i],y[0:i],'go',markersize = 0.5)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    name = \"Fern_\"+str(f\"{i:.2f}\")+\".jpg\"\n",
    "    plt.savefig(name,dpi = 350)\n",
    "    files.append(name)\n",
    "    plt.clf()\n",
    "    \n",
    "clip = ImageSequenceClip(files, fps = 15)\n",
    "video_name = \"Fern_1.mp4\"\n",
    "clip.write_videofile(video_name, fps = 15)\n",
    "import os\n",
    "for i in files:\n",
    "    # print(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "t:   1%|▏         | 3/201 [00:00<00:10, 19.36it/s, now=None]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Building video Fern_1_Movement.mp4.\n",
      "Moviepy - Writing video Fern_1_Movement.mp4\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                              \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Done !\n",
      "Moviepy - video ready Fern_1_Movement.mp4\n"
     ]
    },
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     "metadata": {},
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    {
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     "metadata": {},
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    {
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     "metadata": {},
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    {
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   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "from moviepy.editor import *\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "\n",
    "files = []\n",
    "\n",
    "k = np.linspace(-0.01,0.08,100)\n",
    "k = np.append(k,np.linspace(0.08,-0.001,100))\n",
    "ctr = 0\n",
    "for j in k:\n",
    "    # For the graph sizing\n",
    "    fig, ax = plt.subplots(figsize=(5.625,10))\n",
    "    # The x axis and y axis\n",
    "    # x axis\n",
    "    plt.plot([-2.1820*2,2.6558*2],[0,0],color = \"w\") # Wikipedia\n",
    "    # y axis\n",
    "    plt.plot([0,0],[0,9.9983*1.5],color = \"w\")       # Wikipedia\n",
    "    \n",
    "    # ax.set_facecolor('xkcd:mint green')\n",
    "    # This is the graph to be displayed\n",
    "    x = np.zeros(Num_points,dtype = (np.float64))\n",
    "    y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "    for i in range(1,Num_points,1):\n",
    "        P = (random.random()*100)\n",
    "\n",
    "        if P < 1:\n",
    "            x[i] = 0\n",
    "            y[i] = 0.16*y[i-1]\n",
    "        elif P < 86:\n",
    "            x[i] = (0.85*x[i-1]) + (j*y[i-1])\n",
    "            y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "        elif P < 93:\n",
    "            x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "            y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "        else:\n",
    "            x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "            y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "    plt.plot(x,y,'go',markersize = 0.5)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    name = \"Fern_\"+str(f\"{ctr:.5f}\")+\".jpg\"\n",
    "    ctr = ctr + 1\n",
    "    plt.savefig(name,dpi = 350)\n",
    "    files.append(name)\n",
    "    plt.clf()\n",
    "    \n",
    "clip = ImageSequenceClip(files, fps = 20)\n",
    "video_name = \"Fern_1_Movement.mp4\"\n",
    "clip.write_videofile(video_name, fps = 20)\n",
    "import os\n",
    "for i in files:\n",
    "    # print(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6867e62fa0>]"
      ]
     },
     "execution_count": 16,
     "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": [
    "k = np.linspace(-0.01,0.08,100)\n",
    "k = np.append(k,np.linspace(0.08,-0.01,100))\n",
    "plt.plot(k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10,5.625))\n",
    "plt.plot(x,y,'go',markersize = 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "t:   3%|▎         | 3/100 [00:00<00:05, 16.65it/s, now=None]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Building video Fern_H.mp4.\n",
      "Moviepy - Writing video Fern_H.mp4\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                              \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Done !\n",
      "Moviepy - video ready Fern_H.mp4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
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    {
     "data": {
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     "metadata": {},
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    {
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     "metadata": {},
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    {
     "data": {
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     "metadata": {},
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    {
     "data": {
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     },
     "metadata": {},
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    {
     "data": {
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       "<Figure size 720x405 with 0 Axes>"
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     },
     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
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       "<Figure size 720x405 with 0 Axes>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<Figure size 720x405 with 0 Axes>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 720x405 with 0 Axes>"
      ]
     },
     "metadata": {},
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    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "from moviepy.editor import *\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "\n",
    "files = []\n",
    "\n",
    "for i in range(0,Num_points,1000):\n",
    "    # For the graph sizing\n",
    "    fig, ax = plt.subplots(figsize=(10,5.625))\n",
    "    # The x axis and y axis\n",
    "    # x axis\n",
    "    plt.plot([-2.1820,2.6558],[0,0],color = \"w\") # Wikipedia\n",
    "    # y axis\n",
    "    plt.plot([0,0],[0,9.9983],color = \"w\")       # Wikipedia\n",
    "    \n",
    "    # ax.set_facecolor('xkcd:mint green')\n",
    "    # This is the graph to be displayed\n",
    "    plt.plot(x[0:i],y[0:i],'go',markersize = 1)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    name = \"Fern_\"+str(f\"{i:.2f}\")+\".jpg\"\n",
    "    plt.savefig(name,dpi = 350)\n",
    "    files.append(name)\n",
    "    plt.clf()\n",
    "    \n",
    "clip = ImageSequenceClip(files, fps = 15)\n",
    "video_name = \"Fern_H.mp4\"\n",
    "clip.write_videofile(video_name, fps = 15)\n",
    "import os\n",
    "for i in files:\n",
    "    # print(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "t:   1%|▏         | 3/201 [00:00<00:11, 16.92it/s, now=None]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Building video Fern_1_Movement_H.mp4.\n",
      "Moviepy - Writing video Fern_1_Movement_H.mp4\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                              \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Moviepy - Done !\n",
      "Moviepy - video ready Fern_1_Movement_H.mp4\n"
     ]
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    {
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    {
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    {
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   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "from moviepy.editor import *\n",
    "import random\n",
    "\n",
    "Num_points = 100000\n",
    "x = np.zeros(Num_points,dtype = (np.float64))\n",
    "y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "for i in range(1,Num_points,1):\n",
    "    P = (random.random()*100)\n",
    "    \n",
    "    if P < 1:\n",
    "        x[i] = 0\n",
    "        y[i] = 0.16*y[i-1]\n",
    "    elif P < 86:\n",
    "        x[i] = (0.85*x[i-1]) + (0.04*y[i-1])\n",
    "        y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "    elif P < 93:\n",
    "        x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "        y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "    else:\n",
    "        x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "        y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "\n",
    "files = []\n",
    "\n",
    "k = np.linspace(-0.01,0.08,100)\n",
    "k = np.append(k,np.linspace(0.08,-0.001,100))\n",
    "ctr = 0\n",
    "for j in k:\n",
    "    # For the graph sizing\n",
    "    fig, ax = plt.subplots(figsize=(10,5.625))\n",
    "    # The x axis and y axis\n",
    "    # x axis\n",
    "    plt.plot([-2.1820*2,2.6558*2],[0,0],color = \"w\") # Wikipedia\n",
    "    # y axis\n",
    "    plt.plot([0,0],[0,9.9983*1.5],color = \"w\")       # Wikipedia\n",
    "    \n",
    "    # ax.set_facecolor('xkcd:mint green')\n",
    "    # This is the graph to be displayed\n",
    "    x = np.zeros(Num_points,dtype = (np.float64))\n",
    "    y = np.zeros(Num_points,dtype = (np.float64))\n",
    "\n",
    "    for i in range(1,Num_points,1):\n",
    "        P = (random.random()*100)\n",
    "\n",
    "        if P < 1:\n",
    "            x[i] = 0\n",
    "            y[i] = 0.16*y[i-1]\n",
    "        elif P < 86:\n",
    "            x[i] = (0.85*x[i-1]) + (j*y[i-1])\n",
    "            y[i] = (-0.04*x[i-1]) + (0.85*y[i-1]) + 1.6\n",
    "        elif P < 93:\n",
    "            x[i] = (0.2*x[i-1]) + (-0.26*y[i-1])\n",
    "            y[i] = (0.23*x[i-1]) + (0.22*y[i-1]) + 1.6\n",
    "        else:\n",
    "            x[i] = (-0.15*x[i-1]) + (0.28*y[i-1])\n",
    "            y[i] = (0.26*x[i-1]) + (0.24*y[i-1]) + 0.44\n",
    "    plt.plot(x,y,'go',markersize = 1)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    name = \"Fern_\"+str(f\"{ctr:.5f}\")+\".jpg\"\n",
    "    ctr = ctr + 1\n",
    "    plt.savefig(name,dpi = 350)\n",
    "    files.append(name)\n",
    "    plt.clf()\n",
    "    \n",
    "clip = ImageSequenceClip(files, fps = 20)\n",
    "video_name = \"Fern_1_Movement_H.mp4\"\n",
    "clip.write_videofile(video_name, fps = 20)\n",
    "import os\n",
    "for i in files:\n",
    "    # print(i)\n",
    "    os.remove(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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