001-Plotting-polygons.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "22bfc867-c586-4631-b1df-f52391398be2",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true,
    "tags": []
   },
   "source": [
    "# Setup "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "196e4457-2c3d-4774-a6f8-1b3b3c79991c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "numpy version = 1.23.2\n"
     ]
    }
   ],
   "source": [
    "# Import packages for a scientific environment\n",
    "import matplotlib.pyplot as mpl\n",
    "import numpy as np\n",
    "import ipywidgets as widgets\n",
    "from IPython.display import display\n",
    "\n",
    "%matplotlib widget\n",
    "print(\"numpy version = %s\" % np.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d289cf5d-1539-40d8-b17b-26bdaf1628d7",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Drawing 2D triangles"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99f2f31c-814c-4843-871a-086219eedb6e",
   "metadata": {},
   "source": [
    "We begin by defining a list of triangles. For numerical arrays we use `numpy` and its `numpy.array` class. You can pass it a python list. The command `numpy.shape` gives the \"shape\" of the array i.e. the maximal length of each index.\n",
    "\n",
    "We specify the triangles as a list of triples of 2D points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "405a5807-6c7f-4a66-b572-c0c43dcd3e80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3, 2)"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Triangles2D = np.array([[[1, 1], [2, 2.5], [3, 1]], [[8, 7.5], [7, 9], [9, 9]]])\n",
    "np.shape(Triangles2D)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f903f81d-3399-4344-90ca-cc7a742166dd",
   "metadata": {},
   "source": [
    "We can iterate over the triangles in `Triangles2D` using a `for` loop:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "1b8c66a1-ed4e-4ec0-b573-e91ccd66fbbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1. , 1. ],\n",
       "       [2. , 2.5],\n",
       "       [3. , 1. ]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[8. , 7.5],\n",
       "       [7. , 9. ],\n",
       "       [9. , 9. ]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[2., 2.],\n",
       "       [3., 3.],\n",
       "       [2., 3.]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for triangle in Triangles2D:\n",
    "    display(triangle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3af83ba-84e1-4153-81de-a8c24c8db25f",
   "metadata": {},
   "source": [
    "Now we plot each triangle on a 2D plane.\n",
    "\n",
    "We first create a matplotlib (henceforth `mpl`) figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "4738984e-dc67-454c-b3e5-28471d05ce8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "646fe94d72a240e2af207cab61f4f90b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Button(description='Update', style=ButtonStyle())"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0aa5f9226f49442db7c7e4c05958aa01",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    mpl.close(fig_Many2DTriangles)\n",
    "except (NameError, AttributeError):\n",
    "    pass\n",
    "fig_Many2DTriangles, ax_Many2DTriangles = mpl.subplots()\n",
    "\n",
    "def updateMany2DTriangles(button=None):\n",
    "    ax_Many2DTriangles.cla()\n",
    "    ax_Many2DTriangles.set_aspect(1)\n",
    "    ax_Many2DTriangles.set(xlim=(-10, 10), ylim=(-10, 10))\n",
    "\n",
    "    global Triangles2D\n",
    "    for triangle in Triangles2D:\n",
    "        mpl.scatter(triangle[:, 0], triangle[:, 1], s=40, color=\"red\")\n",
    "        tri_poly = mpl.Polygon(triangle[:3, :], edgecolor=\"black\", facecolor=\"green\")\n",
    "        mpl.gca().add_patch(tri_poly)\n",
    "\n",
    "\n",
    "updateMany2DTriangles()\n",
    "\n",
    "btn_UpdateManyMany2DTriangles = widgets.Button(description=\"Update\")\n",
    "display(btn_UpdateManyMany2DTriangles)\n",
    "btn_UpdateManyMany2DTriangles.on_click(updateMany2DTriangles)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "41831a54-e14d-411b-bdff-bfe9a3643a60",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cfe1026f-9583-470e-890c-a8bd5558d3bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d.art3d import Line3DCollection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "456e9f9b-7050-48e2-a95e-d1a77443778f",
   "metadata": {},
   "outputs": [],
   "source": [
    "CubeVert = np.array(\n",
    "    [\n",
    "        [0, 0, 0],\n",
    "        [1, 0, 0],\n",
    "        [0, 1, 0],\n",
    "        [1, 1, 0],\n",
    "        [0, 0, 1],\n",
    "        [1, 0, 1],\n",
    "        [0, 1, 1],\n",
    "        [1, 1, 1],\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "caa56794-a0cb-4be1-8bba-2d1587ed7485",
   "metadata": {},
   "source": [
    "## A straight cube"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "c0858ad6-f830-458b-bf04-d03d581f4a6a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    plt.close(fig)\n",
    "except NameError:\n",
    "    pass\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection=\"3d\")\n",
    "\n",
    "ax.scatter(CubeVert[:, 0], CubeVert[:, 1], CubeVert[:, 2], marker=\"x\")\n",
    "\n",
    "# ax.plot_trisurf(CubeVert[:,0], CubeVert[:,1], CubeVert[:,2], linewidth=0.2, antialiased=True)\n",
    "\n",
    "for vert in CubeVert:\n",
    "    ax.text(vert[0], vert[1], vert[2], str(vert))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "6d87b70f-6fcf-466d-9f40-d839d1260fb0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 0],\n",
       " [2, 0],\n",
       " [3, 1],\n",
       " [3, 2],\n",
       " [4, 0],\n",
       " [5, 1],\n",
       " [5, 4],\n",
       " [6, 2],\n",
       " [6, 4],\n",
       " [7, 3],\n",
       " [7, 5],\n",
       " [7, 6]]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "edges = []\n",
    "for i, vertex_i in enumerate(CubeVert):\n",
    "    for j, vertex_j in enumerate(CubeVert):\n",
    "        if i > j and np.linalg.norm(vertex_i - vertex_j) < 1.1:\n",
    "            edges.append([i, j])\n",
    "display(edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5b9d317e-9e5a-42a9-a775-ab350883311d",
   "metadata": {},
   "outputs": [],
   "source": [
    "lines = []\n",
    "for i, j in edges:\n",
    "    lines.append([CubeVert[i], CubeVert[j]])\n",
    "# display(lines)\n",
    "lc = Line3DCollection(lines, linewidths=1.5, colors=\"green\")\n",
    "ax.add_collection(lc);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74cc6539-28f9-4d68-8faf-077a66e341a9",
   "metadata": {},
   "source": [
    "## Defining rotation matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "dc11741f-a215-40dd-a5c4-3a5bcfd0ffb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        ,  0.        ,  0.        ],\n",
       "       [ 0.        ,  0.54030231, -0.84147098],\n",
       "       [ 0.        ,  0.84147098,  0.54030231]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[ 0.54030231,  0.        ,  0.84147098],\n",
       "       [ 0.        ,  1.        ,  0.        ],\n",
       "       [-0.84147098,  0.        ,  0.54030231]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[ 0.54030231, -0.84147098,  0.        ],\n",
       "       [ 0.84147098,  0.54030231,  0.        ],\n",
       "       [ 0.        ,  0.        ,  1.        ]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def XRotationMatrix(angle):\n",
    "    return np.array(\n",
    "        [\n",
    "            [1, 0, 0],\n",
    "            [0, np.cos(angle), -np.sin(angle)],\n",
    "            [0, np.sin(angle), np.cos(angle)],\n",
    "        ]\n",
    "    )\n",
    "\n",
    "\n",
    "def YRotationMatrix(angle):\n",
    "    return np.array(\n",
    "        [\n",
    "            [np.cos(angle), 0, np.sin(angle)],\n",
    "            [0, 1, 0],\n",
    "            [-np.sin(angle), 0, np.cos(angle)],\n",
    "        ]\n",
    "    )\n",
    "\n",
    "\n",
    "def ZRotationMatrix(angle):\n",
    "    return np.array(\n",
    "        [\n",
    "            [np.cos(angle), -np.sin(angle), 0],\n",
    "            [np.sin(angle), np.cos(angle), 0],\n",
    "            [0, 0, 1],\n",
    "        ]\n",
    "    )\n",
    "\n",
    "\n",
    "display(XRotationMatrix(1), YRotationMatrix(1), ZRotationMatrix(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "603f1bdb-4df4-400b-bbfa-30bc46107cdd",
   "metadata": {},
   "outputs": [],
   "source": [
    "def CreateRotationMatrix(xangle, yangle, zangle):\n",
    "    return np.matmul(\n",
    "        np.matmul(XRotationMatrix(xangle), YRotationMatrix(yangle)),\n",
    "        ZRotationMatrix(zangle),\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "291865dd-eece-4a65-8732-e0f99e72969c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.41198225,  0.05872664,  0.90929743],\n",
       "       [-0.68124272, -0.64287284,  0.35017549],\n",
       "       [ 0.60512725, -0.76371834, -0.2248451 ]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RotationMatrix = CreateRotationMatrix(1, 2, 3)\n",
    "display(RotationMatrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "57c98518-abf3-417b-9306-76afd58728e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        ,  0.        ,  0.        ],\n",
       "       [ 0.41198225, -0.68124272,  0.60512725],\n",
       "       [ 0.05872664, -0.64287284, -0.76371834],\n",
       "       [ 0.47070889, -1.32411556, -0.15859109],\n",
       "       [ 0.90929743,  0.35017549, -0.2248451 ],\n",
       "       [ 1.32127967, -0.33106723,  0.38028215],\n",
       "       [ 0.96802407, -0.29269735, -0.98856343],\n",
       "       [ 1.38000632, -0.97394007, -0.38343618]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RotatedCubeVert = list()\n",
    "for vert in CubeVert:\n",
    "    # display(np.matmul(Rot, vert))\n",
    "    RotatedCubeVert.append(np.matmul(RotationMatrix, vert))\n",
    "RotatedCubeVert = np.array(RotatedCubeVert)\n",
    "display(RotatedCubeVert)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28b0673c-f122-4c38-a646-a93c5b751b73",
   "metadata": {},
   "source": [
    "## Displaying a rotated cube"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "f47eded0-5ad6-424c-8a64-2a94fd363ced",
   "metadata": {},
   "outputs": [],
   "source": [
    "RotationMatrix = CreateRotationMatrix(1, 2, 3)\n",
    "RotatedCubeVert = list()\n",
    "for vertex in CubeVert:\n",
    "    # display(np.matmul(Rot, vert))\n",
    "    RotatedCubeVert.append(np.matmul(RotationMatrix, vertex))\n",
    "RotatedCubeVert = np.array(RotatedCubeVert)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "310879c0-07e6-4db9-9661-d2ce496aaaeb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Line3DCollection at 0x2494b968d90>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    plt.close(fig2)\n",
    "except NameError:\n",
    "    pass\n",
    "\n",
    "fig2 = plt.figure()\n",
    "ax2 = fig2.add_subplot(projection=\"3d\")\n",
    "ax2.scatter(\n",
    "    RotatedCubeVert[:, 0], RotatedCubeVert[:, 1], RotatedCubeVert[:, 2], marker=\"x\"\n",
    ")\n",
    "ax2.set(xlim=(-2, 2), ylim=(-2, 2), zlim=(-2, 2))\n",
    "ax2.set(frame_on=False)\n",
    "\n",
    "\n",
    "lines = []\n",
    "for i, j in edges:\n",
    "    lines.append([RotatedCubeVert[i], RotatedCubeVert[j]])\n",
    "lc = Line3DCollection(lines, linewidths=1.5, colors=\"green\")\n",
    "ax2.add_collection(lc)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "405627ed-04cc-42ee-bdc5-803ff23091a1",
   "metadata": {},
   "source": [
    "## Projecting the rotated cube onto the $x,y$ plane"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "5d27ecb7-7eb2-4e23-b89d-1bf5129107c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.collections import LineCollection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "3c47f64d-7907-439e-a9f3-8d48058657b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.LineCollection at 0x2494da8e710>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    plt.close(fig3)\n",
    "except NameError:\n",
    "    pass\n",
    "\n",
    "fig3 = plt.figure()\n",
    "ax3 = fig3.add_subplot()\n",
    "ax3.set(xlim=(-2, 2), ylim=(-2, 2))\n",
    "ax3.set(aspect=1)\n",
    "\n",
    "ax3.scatter(RotatedCubeVert[:, 0], RotatedCubeVert[:, 1], marker=\"x\")\n",
    "\n",
    "lines = []\n",
    "for i, j in edges:\n",
    "    lines.append([RotatedCubeVert[i, 0:2], RotatedCubeVert[j, 0:2]])\n",
    "# display(lines)\n",
    "\n",
    "lc = LineCollection(lines, linewidths=1.5, colors=\"green\")\n",
    "ax3.add_collection(lc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "1df06fe8-1fb3-428c-9b40-8c4ab74bb857",
   "metadata": {},
   "outputs": [],
   "source": [
    "import ipywidgets as widgets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "9a8f52af-ac74-45ab-97bb-78a15b9b60cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(FloatSlider(value=0.0, continuous_update=False, description='Angle around x axis', max=6.283185…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "angle_x = widgets.FloatSlider(\n",
    "    value=0,\n",
    "    min=0,\n",
    "    max=2 * np.pi,\n",
    "    continuous_update=False,\n",
    "    description=\"Angle around x axis\",\n",
    "    style=dict(description_width=\"initial\"),\n",
    ")\n",
    "angle_y = widgets.FloatSlider(\n",
    "    value=0,\n",
    "    min=0,\n",
    "    max=2 * np.pi,\n",
    "    description=\"Angle around y axis\",\n",
    "    continuous_update=False,\n",
    "    style=dict(description_width=\"initial\"),\n",
    ")\n",
    "\n",
    "angle_z = widgets.FloatSlider(\n",
    "    value=0,\n",
    "    min=0,\n",
    "    max=2 * np.pi,\n",
    "    description=\"Angle around z axis\",\n",
    "    continuous_update=False,\n",
    "    style=dict(description_width=\"initial\"),\n",
    ")\n",
    "\n",
    "angles = widgets.VBox([angle_x, angle_y, angle_z])\n",
    "\n",
    "display(angles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "d2435225-3590-47b9-9ae2-a0eec5fd3b27",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_RotationMatrix = widgets.Output()\n",
    "with output_RotationMatrix:\n",
    "    display(\"Rotation Matrix:\")\n",
    "    display(RotationMatrix)\n",
    "\n",
    "\n",
    "def UpdateRotationMatrix(change):\n",
    "    global RotationMatrix\n",
    "    global angle_x\n",
    "    global angle_y\n",
    "    global angle_z\n",
    "    RotationMatrix = CreateRotationMatrix(angle_x.value, angle_y.value, angle_z.value)\n",
    "    with output_RotationMatrix:\n",
    "        output_RotationMatrix.clear_output()\n",
    "        display(\"Rotation Matrix:\")\n",
    "        display(RotationMatrix)\n",
    "\n",
    "\n",
    "output_RotationMatrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "250f6cf6-94d2-4626-a882-a5f1c465fff6",
   "metadata": {},
   "outputs": [],
   "source": [
    "angle_x.observe(UpdateRotationMatrix, names=\"value\")\n",
    "angle_y.observe(UpdateRotationMatrix, names=\"value\")\n",
    "angle_z.observe(UpdateRotationMatrix, names=\"value\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "48aa3fbe-184a-4dc6-ad8f-d6c96698c8f7",
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    plt.close(fig4)\n",
    "except NameError:\n",
    "    pass\n",
    "\n",
    "plt.ioff()\n",
    "fig4 = plt.figure()\n",
    "ax4 = fig4.add_subplot(projection=\"3d\")\n",
    "plt.ion();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "ecba0883-cd7e-4d48-9ccd-2fcda72964e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_RotationMatrixPlot = widgets.Output()\n",
    "\n",
    "\n",
    "def UpdateRotationMatrixPlot(change):\n",
    "    with output_RotationMatrixPlot:\n",
    "        ax4.cla()\n",
    "        ax4.set(xlim=(-2, 2), ylim=(-2, 2), zlim=(-2, 2))\n",
    "        lines = [\n",
    "            [[0, 0, 0], RotationMatrix[:, 0]],\n",
    "            [[0, 0, 0], RotationMatrix[:, 1]],\n",
    "            [[0, 0, 0], RotationMatrix[:, 2]],\n",
    "        ]\n",
    "        lc = Line3DCollection(lines, linewidths=1.5, colors=\"green\")\n",
    "        ax4.add_collection(lc)\n",
    "\n",
    "        output_RotationMatrixPlot.clear_output()\n",
    "        print(\"Rotation Matrix Plot:\")\n",
    "        display(fig4)\n",
    "\n",
    "\n",
    "UpdateRotationMatrixPlot(None)\n",
    "output_RotationMatrixPlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "940dcded-592e-4a25-9873-8a2c811c23e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "angle_x.observe(UpdateRotationMatrixPlot, names=\"value\")\n",
    "angle_y.observe(UpdateRotationMatrixPlot, names=\"value\")\n",
    "angle_z.observe(UpdateRotationMatrixPlot, names=\"value\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7d7d112-368b-45b4-ac12-e1f8f7d0a6bc",
   "metadata": {},
   "source": [
    "## Rotating cube with widgets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "257ec8b2-a7a7-451f-9a13-3a330f456744",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    plt.close(fig5)\n",
    "except NameError:\n",
    "    pass\n",
    "\n",
    "fig5 = plt.figure()\n",
    "ax5 = fig5.add_subplot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "2d0ee159-1ead-4916-89cb-1ebc0dab8365",
   "metadata": {},
   "outputs": [],
   "source": [
    "def UpdateRotatedCubePlot(change):\n",
    "    ax5.cla()\n",
    "    ax5.set(xlim=(-2, 2), ylim=(-2, 2))\n",
    "    ax5.set(aspect=1)\n",
    "\n",
    "    RotatedCubeVert = list()\n",
    "    for vertex in CubeVert:\n",
    "        # display(np.matmul(Rot, vert))\n",
    "        RotatedCubeVert.append(np.matmul(RotationMatrix, vertex))\n",
    "    RotatedCubeVert = np.array(RotatedCubeVert)\n",
    "\n",
    "    ax5.scatter(RotatedCubeVert[:, 0], RotatedCubeVert[:, 1], marker=\"x\")\n",
    "\n",
    "    lines = []\n",
    "    for i, j in edges:\n",
    "        lines.append([RotatedCubeVert[i, 0:2], RotatedCubeVert[j, 0:2]])\n",
    "    # display(lines)\n",
    "\n",
    "    lc = LineCollection(lines, linewidths=1.5, colors=\"green\")\n",
    "    ax5.add_collection(lc)\n",
    "\n",
    "\n",
    "UpdateRotatedCubePlot(None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "daf200ae-cd03-4b94-96e9-bdc631586926",
   "metadata": {},
   "outputs": [],
   "source": [
    "angle_x.observe(UpdateRotatedCubePlot, names=\"value\")\n",
    "angle_y.observe(UpdateRotatedCubePlot, names=\"value\")\n",
    "angle_z.observe(UpdateRotatedCubePlot, names=\"value\")"
   ]
  }
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