{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "x, y, z are called width, height, and depth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from draw3d import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "draw3d(\n",
    "    Points3D((2, 2, 2), (1, -2, -2), (0, 0, -2))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "draw3d(\n",
    "    Points3D((2,2,2)),\n",
    "    Arrow3D((2,2,2)),\n",
    "    Box3D(2,2,2),\n",
    "    Segment3D((2,2,2), (2, 2, 0)),\n",
    "    Box3D(1,-2,-2),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 3.2 --- Mini Project\n",
    "\n",
    "There are exactly eight 3D vectors whose coordinates are all either +1 or –1. For instance, (1, -1, 1) is one of these. \n",
    "\n",
    "Plot all of these eight vectors as points. \n",
    "\n",
    "Then figure out how to connect them with line segments using Segment3D objects to form the outline of a cube."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1, 1, 1), (1, 1, -1), (1, -1, 1), (1, -1, -1), (-1, 1, 1), (-1, 1, -1), (-1, -1, 1), (-1, -1, -1)]\n"
     ]
    }
   ],
   "source": [
    "points = [ ]\n",
    "possibility = [1, -1]\n",
    "\n",
    "for a in possibility:\n",
    "    for b in possibility:\n",
    "        for c in possibility:\n",
    "            points.append((a,b,c))\n",
    "\n",
    "print(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "from itertools import combinations\n",
    "\n",
    "possible_combinations = list(combinations(points, 2))\n",
    "\n",
    "draw3d(\n",
    "    *[Segment3D(p[0], p[1]) for p in possible_combinations]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from math import sqrt\n",
    "\n",
    "a = (1,1,1) \n",
    "b = (1,1,0)\n",
    "\n",
    "def distance(a,b):\n",
    "    s = 0\n",
    "    for j, k in zip(a,b):\n",
    "        s += (j-k)**2\n",
    "    return sqrt(s)\n",
    "\n",
    "distance(a,b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "possible_combinations = [p for p in possible_combinations if distance(p[0], p[1]) == 2.0]\n",
    "\n",
    "draw3d(\n",
    "    *[Segment3D(p[0], p[1]) for p in possible_combinations]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.9.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
