{
 "metadata": {
  "name": "Breakout8Solutions"
 },
 "nbformat": 2,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def perimeter(polygon):\n",
      "    \"\"\"Given a list of vector vertices (in proper order),\n",
      "    returns the perimeter for the associated polygon.\"\"\"\n",
      "    sum = 0\n",
      "    for i in range(len(polygon)):\n",
      "        vertex1 = polygon[i]\n",
      "        vertex2 = polygon[(i+1) % len(polygon)]\n",
      "        distance = math.sqrt(pow(vertex2[0]-vertex1[0],2) + \\\n",
      "                             pow(vertex2[1]-vertex1[1],2))\n",
      "        sum += distance\n",
      "    return sum"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "perimeter([[0,0],[1,0],[1,1],[0,1]])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "4.0"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "perimeter([[0,-2],[1,1],[3,3],[5,1],[4,0],[4,-3]])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "17.356451097651515"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "class Polygon:\n",
      "    \"\"\"A new class named Polygon.\"\"\"\n",
      "    def __init__(self, vertices=[]):\n",
      "        self.vertices = vertices\n",
      "        print \"(Creating an instance of the class Polygon)\"\n",
      "    def perimeter(self):\n",
      "        sum = 0\n",
      "        for i in range(len(self.vertices)):\n",
      "            vertex1 = self.vertices[i]\n",
      "            vertex2 = self.vertices[(i+1) % len(self.vertices)]\n",
      "            distance = math.sqrt(pow(vertex2[0]-vertex1[0],2)+\\\n",
      "                                 pow(vertex2[1]-vertex1[1],2))\n",
      "            sum += distance\n",
      "        return sum"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a = Polygon([[0,-2],[1,1],[3,3],[5,1],[4,0],[4,-3]])\n",
      "a.perimeter()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(Creating an instance of the class Polygon)\n"
       ]
      },
      {
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "17.356451097651515"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}