density.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hJ06rhu9BljnkVw0/4ljCd4eEnzitLh0Psswiv2r48cYSvjsk/MRp9eGbOZBlDvlVw1cN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\n/wHHDMcoCmuJuQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fde156c5c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Polygon\n",
    "import matplotlib as mpl\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "fig, ax = plt.subplots(1,1)\n",
    "\n",
    "mpl.rcParams['hatch.linewidth'] = 1\n",
    "\n",
    "n_squares = 10\n",
    "\n",
    "h = 1.0 / n_squares\n",
    "\n",
    "for i in range(n_squares):\n",
    "    \n",
    "    this_hatch = '/' * (i+1)\n",
    "    \n",
    "    ax.add_patch(Polygon([[.2, (i) * h],[.2, (i+1) * h],[.45, (i+1) * h],[.45, i * h]], \n",
    "                         hatch=this_hatch, color='blue', lw=1, fill=False))\n",
    "    ax.add_patch(Polygon([[.45, 1- ((i) * h)],[.45, 1 - ((i+1) * h)],[.7, 1 - ((i+1) * h)],[.7, 1-(i * h)]], \n",
    "                         hatch=this_hatch, color='red', lw=1, fill=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "space holder\n"
     ]
    }
   ],
   "source": [
    "# Space holder\n",
    "print(\"space holder\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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