003-Cubes-with-widgets.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "be88df2f-66f2-444b-b828-a8d5fbae9b21",
   "metadata": {},
   "source": [
    "# A 3D cube"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22bfc867-c586-4631-b1df-f52391398be2",
   "metadata": {
    "tags": []
   },
   "source": [
    "### Setup "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "714403c5-36c8-4ff0-b262-905aa84c8228",
   "metadata": {},
   "source": [
    " Basic stack for scientific computation uses numpy (for quick numerical computation). \n",
    " Sympy is a symbolic math computation. \n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "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": "237746f9-b122-45cc-8a6d-aee8e986ed86",
   "metadata": {
    "tags": []
   },
   "source": [
    "## A straight 3D Cube"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ce97b6a-f982-4475-b9eb-7467fd57971d",
   "metadata": {},
   "source": [
    "We begin by introducing an array of vertices of a 3D cube."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "456e9f9b-7050-48e2-a95e-d1a77443778f",
   "metadata": {},
   "outputs": [],
   "source": [
    "CubeVertices = 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": "75c4274f-0edf-438f-b2b2-5e13b1ea347e",
   "metadata": {},
   "source": [
    "Next we count all the vertexes of the cube and connect figure out the indexes of the vertexes that should be connected by an edge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1c20d878-f8cb-4cc8-be45-b97d88707ddf",
   "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": [
    "CubeEdges = []\n",
    "for i, vertex_i in enumerate(CubeVertices):\n",
    "    for j, vertex_j in enumerate(CubeVertices):\n",
    "        if i > j and np.linalg.norm(vertex_i - vertex_j) < 1.1:\n",
    "            CubeEdges.append([i, j])\n",
    "display(CubeEdges)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74cc6539-28f9-4d68-8faf-077a66e341a9",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Rotation matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "dc11741f-a215-40dd-a5c4-3a5bcfd0ffb8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rotation matrixes w.r.t the x, y, and z axes with angle=1:\n",
      "\n"
     ]
    },
    {
     "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"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "A full rotation matrix with angles x=1,y=2,z=3:\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0.],\n",
       "       [0., 1., 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",
    "def CreateRotationMatrix(xangle, yangle, zangle):\n",
    "    return np.matmul(\n",
    "        np.matmul(XRotationMatrix(xangle), YRotationMatrix(yangle)),\n",
    "        ZRotationMatrix(zangle),\n",
    "    )\n",
    "\n",
    "print(\"Rotation matrixes w.r.t the x, y, and z axes with angle=1:\\n\") \n",
    "display(XRotationMatrix(1), YRotationMatrix(1), ZRotationMatrix(1))\n",
    "\n",
    "RotationMatrix = CreateRotationMatrix(0, 0, 0)\n",
    "\n",
    "print(\"\\n\\nA full rotation matrix with angles x=1,y=2,z=3:\\n\") \n",
    "display(RotationMatrix)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cae88793-4069-4e61-b8fb-6f812179a8a3",
   "metadata": {},
   "source": [
    "Using the rotation matrix we can generate the vertexes of a rotated cube:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "17111ca7-fd55-406e-85af-67dba9b1bb58",
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_RotatedCubeVertices(change=None):\n",
    "    global RotationMatrix\n",
    "    global RotatedCubeVertices\n",
    "    RotatedCubeVertices = []\n",
    "    for vertex in CubeVertices:\n",
    "        RotatedCubeVertices.append(np.matmul(RotationMatrix, vertex))\n",
    "    RotatedCubeVertices = np.array(RotatedCubeVertices)\n",
    "\n",
    "\n",
    "update_RotatedCubeVertices()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "73834eb6-773f-460e-ac23-2706046be3ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[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.]])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(RotatedCubeVertices)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17d84ae1-9250-4bb0-85d0-ce1791087cce",
   "metadata": {},
   "source": [
    "## Plotting the rotated Cube"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a58f26e-198e-4a93-9ae9-8a900a2e844d",
   "metadata": {},
   "source": [
    "Let us now plot the rotated cube."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bd461924-5940-42c1-8de0-f3d1d055688d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0d38cbcee7ce456d9e1ce6db0fe5ff42",
       "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": "1b95c8b5a110416a848b100a1c4d0670",
       "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",
    "    mpl.close(fig_RotatedCube)\n",
    "except (NameError, AttributeError):\n",
    "    pass\n",
    "fig_RotatedCube = mpl.figure()\n",
    "ax_RotatedCube = fig_RotatedCube.add_subplot(projection=\"3d\")\n",
    "\n",
    "\n",
    "def update_fig_RotatedCube(button=None):\n",
    "    ax_RotatedCube.cla()\n",
    "    ax_RotatedCube.set(xlim=(-1, 2), ylim=(-1, 2), zlim=(-1, 2))\n",
    "    \n",
    "    ax_RotatedCube.scatter(RotatedCubeVertices[:, 0], RotatedCubeVertices[:, 1], RotatedCubeVertices[:, 2], marker=\"x\")\n",
    "    for i,j in CubeEdges:\n",
    "        ax_RotatedCube.plot(*RotatedCubeVertices[[i,j]].T,color=\"green\")\n",
    "    \n",
    "\n",
    "\n",
    "update_fig_RotatedCube()\n",
    "\n",
    "btn_updatefigRotatedCube = widgets.Button(description=\"Update\")\n",
    "display(btn_updatefigRotatedCube)\n",
    "btn_updatefigRotatedCube.on_click(update_fig_RotatedCube)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ce70d811-da1d-4280-b224-7e6225e8acc9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c389bad60a3043a5b11fbcc8a9020b26",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(FloatSlider(value=0.0, description='Angle around x axis', max=6.283185307179586, style=SliderSt…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "angle_x = widgets.FloatSlider(\n",
    "    value=0,\n",
    "    min=0,\n",
    "    max=2 * np.pi,\n",
    "    continuous_update=True,\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=True,\n",
    "    style=dict(description_width=\"initial\"),\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=True,\n",
    "    style=dict(description_width=\"initial\"),\n",
    ")\n",
    "\n",
    "angles = widgets.VBox([angle_x, angle_y, angle_z])\n",
    "\n",
    "display(angles)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bc6cad59-de2f-42c5-b4e1-a1984066c9e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4270368dffb0480281cfca948ebb4d6c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "output_RotationMatrix = widgets.Output()\n",
    "with output_RotationMatrix:\n",
    "    display(\"Rotation Matrix:\")\n",
    "    display(RotationMatrix)\n",
    "\n",
    "\n",
    "def UpdateRotationMatrix(change=None):\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",
    "display(output_RotationMatrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e757dbdb-8bed-4d45-9656-a6dc6d61a7e6",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def on_update_angles(change=None):\n",
    "    UpdateRotationMatrix()\n",
    "    update_RotatedCubeVertices()\n",
    "    update_fig_RotatedCube()\n",
    "\n",
    "\n",
    "angle_x.observe(on_update_angles, names=\"value\")\n",
    "angle_y.observe(on_update_angles, names=\"value\")\n",
    "angle_z.observe(on_update_angles, names=\"value\")\n"
   ]
  },
  {
   "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": 11,
   "id": "941a4395-cd5c-4a14-91ff-fa9462802131",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "665aed88e8ee48528157e90582865a42",
       "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": "331cbb688a2a49418a4286c41d7f2e19",
       "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,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAA9hAAAPYQGoP6dpAABFV0lEQVR4nO3de3RU9b3//9fkNrmQTG4kmUhCQhCQi4qhmFhRkCOKlmWtXxcc+6V4qiK11qM5Liv2tEK7Wqq16mqtIufr3bZwfofSX/1pPXK+JdhWUNBQBQRJCCSQhJDbTK4zuezfH3GGhJmEBDIzSfbzsVYWmb33J3nPp2V88fnsz2dbDMMwBAAAANMIC3UBAAAACC4CIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBMAxbsOGDfrKV76i+Ph4paWl6etf/7oOHz58znY7d+5Ufn6+oqOjNWXKFG3cuDEI1QIAgNGAADjG7dy5U9/97ne1e/dubd++XV1dXVqyZIlaW1sHbFNeXq6bbrpJCxYsUElJiR577DE98MAD2rp1axArBwAAoWIxDMMIdREYOadPn1ZaWpp27typa665xu813//+9/WnP/1Jn3/+uffYmjVr9I9//EO7du0KVqkAACBEGAEcZxwOhyQpOTl5wGt27dqlJUuW9Dt2ww03aO/evers7AxofQAAIPQiQl0ARo5hGCoqKtLVV1+t2bNnD3hdTU2N0tPT+x1LT09XV1eX6urqZLfbfdq4XC65XC7v656eHjU0NCglJUUWi2Xk3gQAICgMw1Bzc7MyMzMVFsZ4kNkQAMeR+++/X59++qn+9re/nfPas0Ob506AgcLchg0btH79+gsvEgAwqlRWVmrSpEmhLgNBRgAcJ773ve/pT3/6k95///1z/kXOyMhQTU1Nv2O1tbWKiIhQSkqK3zZr165VUVGR97XD4VB2drYqKyuVkJBw4W8AABBUTqdTWVlZio+PD3UpCAEC4BhnGIa+973vadu2bSouLlZubu452xQWFuqtt97qd+y9997TvHnzFBkZ6beN1WqV1Wr1OZ6QkEAABIAxjNt4zIlJ/zHuu9/9rt5880397ne/U3x8vGpqalRTU6P29nbvNWvXrtW3vvUt7+s1a9bo+PHjKioq0ueff66XX35ZL730kh5++OFQvAUAABBkBMAx7oUXXpDD4dDChQtlt9u9X1u2bPFeU11drYqKCu/r3NxcvfPOOyouLtbll1+un/zkJ/rVr36l2267LRRvAQAABBn7AOK8OJ1O2Ww2ORwOpoABYAzic9zcGAEEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYAOA68//77WrZsmTIzM2WxWPTHP/5x0OuLi4tlsVh8vg4dOhScggEAQEhFhLoAXLjW1lZddtll+pd/+RfddtttQ253+PBhJSQkeF9PnDgxEOUBAIBRhgA4DixdulRLly4ddru0tDQlJiaOfEEAAGBUYwrYxObOnSu73a7Fixdrx44doS4HAAAECSOAJmS327Vp0ybl5+fL5XLpjTfe0OLFi1VcXKxrrrnGbxuXyyWXy+V97XQ6g1UuAAAYYQRAE5o+fbqmT5/ufV1YWKjKyko99dRTAwbADRs2aP369cEqEQAABBBTwJAkFRQU6MiRIwOeX7t2rRwOh/ersrIyiNUBAICRxAggJEklJSWy2+0DnrdarbJarUGsCAAABAoBcBxoaWlRaWmp93V5ebn27dun5ORkZWdna+3atTp58qRef/11SdKzzz6rnJwczZo1S263W2+++aa2bt2qrVu3huotAACAICIAjgN79+7VokWLvK+LiookSatWrdKrr76q6upqVVRUeM+73W49/PDDOnnypGJiYjRr1iy9/fbbuummm4JeOwAACD6LYRhGqIvA2ON0OmWz2eRwOPptJg2YnbOjU62uLtltMT7nqh3tirNGKCE6MgSVAf3xOW5uLAIBgBHi7OjUqpc/0vIXd6uqqb3fuaqmdi1/cbdWvfyRnB2dIaoQAHoRAAFghLS6ulTf4lZFQ5tWbDoTAqua2rVi025VNLSpvsWtVldXiCsFYHYEQAAYIXZbjDavLlB2cqwqGtq0/MVd+vh4gzf8ZSfHavPqAr/TwwAQTARAABhBmYm9ITA+4ZD+1r5Y815J1cfN62XE/6f+14KjOt68T6dbT4vbrwGEEquAAWCEZSbG6Irpx7V/vyQZaovYqYou6V/fe917TXxUvKYmT9XU5KnKS8o7831ynjLjMxVm4d/nAAKHAAgAI6yqqV3vHSzvfWFEKbHrnxUdfVq59hZVOo/qhPOEmt3NKqkpUUlNiU/76IhoTUma0hsKk3pDoScgZtuyFRHGRzeAC8OnCACMIM+Cj8bOCilcypiQpot7VqmioU0R9bH6cHWBkuKk8qZylTWUqbShVKUNpSpr7P3+WNMxdXR16ODpgzp4+qDPz48Ii1BOYo7vyGFSnnKTchUdER2Cdw1grCEAAsAIqXacWe2r2FrJkLJsdm2+vcB7fMWm3dpyb4FmTpypmRNn+vyMzu5OVTgq+oVCz/dlDWVydbu8x85mkUVZtixvMDx7anlC1IRgdAOAMYAACAAjJM4aoZQJUTKMHlW563sDYEKWd2HIik27lTIhSnHWgT96I8MjlZecp7zkPJ9zPUaPTjpP+gRDz/ct7hZVOCpU4ajQjmM7fNqnx6V7w+DUpDPBcGryVCXHJI9oXwAY3XgSCM4LO8gD/jk7OrX/1GF99dU5kqSigiL98oZfSgrsk0AMw9DpttO9odAztdx45vv69vpB2ydGJ/pflJKUp4wJGbJYLCNeM0KLz3FzYwQQAEZQQnSkTrUd8b5OjU31fh/I/f8sFovS4tKUFpemq7Ku8jnf1NHkDYNnjyBWNVepqaNJe6v2am/VXp+2sZGxfoPh1OSpmpQwSeFh4QF7XwACgwAIACPs01Ofer8fLVOridGJys/MV35mvs+5VnerjjYe9QbDsoYylTb2BsQKR4XaOtv06alP+70vj6jwKOUm5vq95zAnMUdR4VHBeHsAhokACAAj7NPaM0EpKSYphJUMTVxUnOakz9Gc9Dk+59zdbh1rOtZvatkTFI82HpW7263D9Yd1uP6wT9swS5gm2yZ77znsu53NlKQpio2MvaC6nR2danV1+R1ZDeR0OzAeEAABYISNxhHA8xUVHqVpKdM0LWWaz7nunm6dcJ7wWZDi+bOts03lTeUqbyrX/+h/fNpnxmcOOLVsi7YNWpezo1OrXv5I9S1ubV5doMzEMyHQsxVPyoQovfbt+YRAwA8CIACMoFZ3q8oayryvx3oAHEx4WLgmJ07W5MTJWjxlcb9zhmGopqVmwBXLTR1NqmquUlVzld4//r7Pz06JSRnwSSkTYyeq1dWl+ha3d2sdTwj0hL+KhjZJUquriwAI+EEABIARdOD0ARk6s7nCeA6Ag7FYLLLH22WPt+vq7Kt9zje0Nwy4YvlU6ynVt9er/mS9Pjz5oU9bz2P0Mi/KUXdntA44Juqrz/2nHrh2gf6fvyWqymEoOzlWm1cXBHThDTCWEQABYASdvVDCrAHwXJJjkjX/ovmaf9F8n3PNrmYdbTzqd8VypaPyzGP09OVj9KKkhm6p6C8bZe2erfnJv/KZFgbQHwEQAEbQZ6c+834fbglXfFR8CKsZm+Kt8bos4zJdlnGZz7mOrg6VN5b3C4YlVYf0wYn/K1mkyJ5cPbP8MsIfcA4EQAAYQWevAGYD5ZEVHRGtSyZeoksmXiKpd8HHbS/+t2T5v5KkmO4CPbTlH4wAAucQFuoCAGC8MAxjXK0AHu08Cz7KHZ97j+XYcrwLQ6qa2kNYHTC6EQABYIRUNVepob1BYZbej1YCYOBUO86s9o2Nq/Aef/1frlN2cqw3BFY7CIGAPwRAABghn9X23v+XHpcuiQAYSHHWCKVMiFJ2cqwunXLmOcfT0tK0eXWBspNjlTIhSnFW7nQC/OFvBgCMEM/0b3pcuqpbqpUUPfqfAjJWJURH6rVvz1erq0tLfveAJGlC1ASFWcKUmRijLfcW8CQQYBAEQAAYIZ4A6HmKBSOAgZUQHam4qDAdqT8iqXfzaA/2/wMGxxQwAIwQzxRwTERv+CAABl5ZY5lc3S5JZ6beAZwbARAARoC7263PT/euRg0PC5dEAAyGvvsupsSmDHIlgL4IgAAwAg7XHVZnT6cSrAlydfWOSBEAA6/vtjtJMdxzCQwVARAARoAniMxJm6PGjkZJYhFIEPTdeDs5msANDBUBEABGgOf+v0vTL1VDe4MkRgCDgY23gfNDAASAEeAJIgTA4Glxt+ho41Hva/obGDoCIACMAE8AnDVxlhwuhyQCSaDtr90vSbKGWyXR38BwEAAB4AI1tDfoZPNJSVJWQpb3OIsSAssTuq0RvQGQ/gaGjgAIABfIsxVJTmKOOns6JUnxUfGKCGOv/UDy9LtFFkmMAALDQQAEgAvE/X+h4VkB7And9DkwdARAALhAnhXAc9LmEACDxDAMb/Bu62yTRJ8Dw0EABIAL1HcE0LMHIGEksE44T6ipo6nfNDv7LgJDRwAcB95//30tW7ZMmZmZslgs+uMf/3jONjt37lR+fr6io6M1ZcoUbdy4MfCFAuNQj9Hjdw9AFiQElqfPcxNzJUkToiYoMjwylCUBYwoBcBxobW3VZZddpueee25I15eXl+umm27SggULVFJSoscee0wPPPCAtm7dGuBKgfHnaONRtXW2KToiWlOTp56ZAuapFAHlGXXNTeoNgIy4AsPDErVxYOnSpVq6dOmQr9+4caOys7P17LPPSpIuueQS7d27V0899ZRuu+22AFUJjE+elagzJ85URFgE9wAGiScAXhR/kST6GxguRgBNaNeuXVqyZEm/YzfccIP27t2rzs5Ov21cLpecTme/LwD97/+TRAAMEs8UcEpMiiT6GxguAqAJ1dTUKD09vd+x9PR0dXV1qa6uzm+bDRs2yGazeb+ysrL8XgeYjWcrkkvTegMgi0ACz9Xl0qG6Q5Ikm9Umif4GhosAaFIWi6Xfa8Mw/B73WLt2rRwOh/ersrIy4DUCY4FnCnhO+hxJYhFIEByqO6Suni4lRieqx+iRxD2XwHBxD6AJZWRkqKampt+x2tpaRUREKCUlxW8bq9Uqq9UajPKAMaPV3arShlJJTAEHk79tdwjcwPAwAmhChYWF2r59e79j7733nubNm6fISLZRAIbqwOkDMmQoPS5daXFpkgiAwdBv4+0O+hs4HwTAcaClpUX79u3Tvn37JPVu87Jv3z5VVFRI6p2+/da3vuW9fs2aNTp+/LiKior0+eef6+WXX9ZLL72khx9+OBTlA2PW2QtADMMgAAYBj94DLhwBcBzYu3ev5s6dq7lz50qSioqKNHfuXP3oRz+SJFVXV3vDoCTl5ubqnXfeUXFxsS6//HL95Cc/0a9+9Su2gAGGyXv/X1rv/X+tna3q6umSRCAJJAIgcOG4B3AcWLhwoXcRhz+vvvqqz7Frr71Wn3zySQCrAsY/7wrgs+7/iwqPUkxETMjqGs/q2upU3VItSZo1cZYa21l1DZwPRgAB4DwYhjHoHoADrajHhfGMuk5JmqJ4a/yZVdc8BxgYFgIgAJyH6pZqNbQ3KNwSrksmXiKJBSDB0Dd0c88lcP4IgABwHjxBZFrKNEVHREsiAAaDNwCmXarWzlZ19vQ+vYg+B4aHAAgA5+Hs6V9J3I8WBN4tYNLn9LvnMjYyNpRlAWMOARAAzoO/AMj9aIHV3dOt/bX7JX25CXSfwM09l8DwEAAB4Dz03YzYgyngwCprLFN7V7tiImKUl5RH4AYuAAEQAIbJ3e3W56c/l+R/BJAAGBieFcCz0mYpPCyc/gYuAAEQAIbpcN1hdfZ0KsGaoESrXdWOdknyeSxZtaNdzo7OkNU53vRdACIRuIELQQAEgGHyTP/OTJ2tO1/Zo+Uv7lZVU3u/e9Kqmtq1/MXdWvXyR4TAETLQxtsEQGD4CIAAMEyekajpKbNU3+JWRUObVmzarVMtdZKknu5Yrdi0WxUNbapvcavV1RXKcseNsxfeNHaw6ho4XwRAABgmTxApyLpCm1cXKDs5VhUNbSqrPyVJ+sWfT6qioU3ZybHavLpAdhuPhbtQLe4WHW08Kql3CxiJVdfAhSAAAsAw9R2JykyM8YZAV89pSVJZ83bF2w7qyeUZSkuIDGWp44Zn+xf7BLtSY1MlMQUMXIiIUBcAAGNJQ3uDTjaflCTNTpstScpMjNEjNyfrr/9lSJKao7Zpv3ubCl99RBFhEcpNzNXU5KnKS8rr/TO598/cxFxZI6whey9jyWD7LhIAgeEjAALAMHi2IslJzFGCNUGSVNXUru//v+/2XmCEK7rnClkiatUTViNXt0tHGo7oSMMRn59lkUVZtixNTZ6qqUlngqEnLMZFxQXtfY12nn5n30VgZBAAAWAYzh6Jqmpq14pNu1XTekKKkgovulYRjf+uioY2ZSVF6+lV2WrpOqGyxjKVNpSqtKHU+32Lu0UVjgpVOCr0l/K/+PyujAkZ3lHDviOIU5OnKinGXPe9nb0CWGIRCHAhCIAAMAx9nwBS7Wj3rva1TqiUuqWrc/L14O0F3uP/9vsT2nJvgRblLur3cwzD0Om202dCYUOZShvPfF/fXq+alhrVtNTo75V/96kjKTrpzHRy0tR+U8vpcenj6tFohmEwBQyMMAIgAAxD3yASZ41QyoQoSZI7qU7VVb3B0LMwZMWm3UqZEKU4q+9HrcViUVpcmtLi0nRV1lU+55s6mnpD4VmjhqUNpapuqVZjR6P2VO3Rnqo9Pm3jIuO8YfDsEcRJCZMUHhY+wr0SWCecJ9TU0aSIsAjNSJ0hqfdpLC3uFkky3WgoMBIIgAAwRD1Gj3cE8NL0S5UQHanXvj1fLR2dmvXiAe9xqXdhyJZ7CxRnjVBC9PBXAidGJyo/M1/5mfk+51rdrTraeLRfMPT8WeGoUGtnqz499ak3rPYVFR6lKUlT/E4t5yTmKDJ89K1a9vT59JTp3kUznk23LbLIZrWFrDZgrCIAAsAQHW08qrbONkVHRGtq8lRJUkJ0pByuGp8RKkkB2/8vLipOc9LnePfD68vd7daxpmM+U8tlDWU62nhU7m63DtUd0qG6Qz5twyxhmmyb7DtymJynKUlTFBsZG5D3cy6DTf8mRieOuRFNYDQgAALAEHlWos6cOFMRYWc+Pj0BZUbqjJBv6xIVHqVpKdM0LWWaz7nunm5VOisHnFpu72pXeVO5ypvKtV3bfdpnxmcOuGLZFh24UTju/wNGHgEQAIbIXxCR+i8MGc3Cw8KVk5ijnMQcLZ6yuN85wzBU01LjEwo93zd1NKmquUpVzVV6//j7Pj87NTa1/16HfUYQU2NTL2hRiqd/85IuUbWjXXZbjM8K4GpH+3lPtwNmRAAEgCHybkWS1j8ADhQMxxKLxSJ7vF32eLsWTF7gc76hvWHAFcunWk+prq1OdW112n1it0/b+Kh4n/sNPSOImfGZCrMM/FAqV5fLO139f/7SrV+379bm1QVnHgMXk+TdiidlQpRe+/Z8QiAwBARAABgi72bEZ917Nx4C4LkkxyRr/kXzNf+i+T7nml3NKmss804t9x1BPOE8oWZ3s0pqSlRSU+LTNjoiWlOSpvhMLecl5Wly4mQdqjukrp4u2ayJamtLVGVjm1Zs2q3FX+l97nJMuM275Y4ktbq6CIDAEBAAAWAIWt2tKm0oldQ/6PUdoRrtU8CBEm+N1+UZl+vyjMt9znV0dai8sdzviuVjTcfU0dWhg6cP6uDpgz5tI8IivFO8sZEx+qcrPtZ/7narrDFF5X/vDZMflbkV1dKm7ORYbV5dELCFN8B4QwAEgCE4cPqADBlKj0tXWlya9/ihukPqNrqVGJ2oSQmTQljh6BQdEa1LJl6iSyZe4nOuq6dLFY4Kv1PLRxuPqqOrQ7WttZKk6pZqrXv/kS9/qKQuSRbpdOfHKkz+V21eXaDMRMIfMFQEQAAYgLOjU62uLtltMT7TvJ5FB32Pj6enbwRDRFiEpiRN0ZSkKVqSt6TfuR6jR1XNVfrGlm9oT9Ue3Zh3o+Kt8SptKNUX9UfU2tm7CbTFiNAzyy8j/AHDRAAEAD+cHZ1a9fJHqm9xa/PqgjP3/6XN6bfoICt3nyTfhSG4MGGWME1KmKQTzhOSpMcXPq6CSQWqamrX8hd36e+u/yUjrFETur6mh7b8gxFAYJgGXnoFACbW6upSfYtbFQ29iw72VO2TJGXFz/AuOqhvceuzL0cA/W3KjAtT11an6pZqSdKsibO8wft4Y52MsN5tYKbbrvf+b1TV1B7KcoExhQAIAH7Ybb3P881OjtWxhhbtOdG76OD19w1VNJxZdHC4vv8j4DByPKOuU5KmqKUjwhu8k2y9K4AnJUzS1nuvV3ZyrDcEVjsIgcBQEAABYACZib0hMDZhj7rULBnSobZX1B3/pr5WeEC7q//sHaGanTY7xNWOP33vr4yzRihlQpSyk2O14qs93uOe/42yk2OVMiFKcVbubAKGgr8pADCIzMQYzcqt1OEvJFmk9vDdOtG1W9//y+Z+133lP77i+wzdpDzlJOYoMpx96c6HJwDOSZujhOhIvfbt+Wp1denHf/1PSWfuu8xMjNGWewt4EggwDARAABhEVVO7Dh7NkSSF96Qqoesbiomp04ysVn1W+4lOt52W1LsdjGc/wL7CLeGanDjZ7yPSpiRNUUwkCxcG4nkEnGd6PSE6UgnRkWeeyNJn2p39/4DhIQACwAA8iw5OtzmkKOkrk+YosnGFKhra1HkqVotzX9Xmg6/rgfkPaNn0ZX6fhNHe1a6jjUd1tPGoth/d7vM7Loq/yHfkMDlPeUl5skXbQvCuR4funm7tr90vqX/QMwxjwCeyABg6AiAA+FHtaPcuOrAluFTfKeUkp+uXtxd4j5d0fChJumbyNfqnKf+kf5ryT/1+hmEYqmmpObPRcZ9gWNpQKofLoZPNJ3Wy+aR2Ht/pU0NqbKrPM3Q936fGpo7rfQfLGsvU3tWumIgY5SXleY8fdxxXs7tZkWGRmp4yPYQVAmMbARAA/PAsOpCk/DkJevYjKTk62bvoYPmLf9eJjmOSBh6JslgsssfbZY+3a8HkBf3OGYahhvYGv49IK20oVW1rrera6lTXVqfdJ3b7/OwEa0K/YNg3INrj7QqzjO01fp5RvllpsxQeFu497rkvcObEmdxbCVwAAuA48fzzz+sXv/iFqqurNWvWLD377LNasGCB32uLi4u1aNEin+Off/65ZsyYEehSgTGh76KDn/59qyR5n0ubmRijDcvTtOA1l88I1VBZLBalxKYoJTZFV0660ud8s6v5TDD8cmq5tLH3+0pnpZwupz6p/kSfVH/i0zY6ItpvMMxLzlO2LVsRYaP/o9+7AvisDbaZ/gVGxuj/FMA5bdmyRQ8++KCef/55ffWrX9WLL76opUuX6uDBg8rOzh6w3eHDh5WQkOB9PXHixGCUC4wZnkUHjR29mw57AqAk1bR9Ial3+5e+I1QjJd4ar8szLtflGZf7nGvvbFd5U7nfew6PNR1TR1eHDpw+oAOnD/i0jQiLUG5irvKS8zQ16UwwnJo8VbmJubJGWEf8vZwPfws9+h3nySvABSEAjgNPP/207rrrLt19992SpGeffVb//d//rRdeeEEbNmwYsF1aWpoSExODVCUwdjW0N0iSkmKSvMf6Phou2GIiYzRz4kzNnDjT51xnd6cqHBU+wbCssUxlDWVydbt0pOGIjjQc8WlrkUVZtiy/9xzmJedpQtSEYLw9SX22gDlrpO/sZzIDOD8EwDHO7Xbr448/1qOPPtrv+JIlS/TBBx8M2nbu3Lnq6OjQzJkz9e///u9+p4U9XC6XXC6X97XT6bywwoExxBMA+44ADjRCFWqR4ZG9q4iTfaele4weVTVXnQmFDWUqbTzzfbO7WRWOClU4KvSX8r/4tM+YkDHg1HLfvjkfzo5Otbq6ZLfFqMXdoqONRyX1BuxqR7virBGKDO/SF/W9I6+jrd+BsYYAOMbV1dWpu7tb6enp/Y6np6erpqbGbxu73a5NmzYpPz9fLpdLb7zxhhYvXqzi4mJdc801ftts2LBB69evH/H6gbHAbwAcgyNRYZYwTUqYpEkJk7QwZ2G/c4Zh6HTbab/3HJY2lKq+vV41LTWqaanR3yv/7vOzk6KTzkwnnzW1nB6XPuiKZWdHp1a9/JHqW9zavLpAFS2927/YJ9jV2TlBKzbtVsqEKD10U6R6jB6lxKQoY0LGiPYNYDYEwHHi7A9XwzAG/MCdPn26pk8/s31CYWGhKisr9dRTTw0YANeuXauioiLva6fTqaysrBGoHBj9zg6Aza7mMyNU42QxgsViUVpcmtLi0nRV1lU+55s6mvzec1jWWKaq5io1djRqT9Ue7ana49M2LjLOGwbPnlqelDBJra4u1be4vc/z/Vph772L01NmebfckaRPqs48d3k8b4EDBAMBcIxLTU1VeHi4z2hfbW2tz6jgYAoKCvTmm28OeN5qtcpqHR03hwPB1GP0qLG9/yIQz+IK+wS7UmNTQ1ZbMCVGJyo/M1/5mfk+51rdrTraeNQnGJY2lKrCUaHWzlZ9eupT76hpX1HhUZqSNEUXpeeo0x2r/Y6J+nRH7/6Kh0/EK6qlTdnJsdq8ukBPffiWpLE16gqMVgTAMS4qKkr5+fnavn27br31Vu/x7du365ZbbhnyzykpKZHdbg9EicCY5nQ5ZciQ1DvNKY3N6d9AiouK05z0OX5HQ93dbh1rOuZ3avlo41G5u939H6MXJX3Z3Wp0VegrX4a/zMQY76PhQrHwBhhvCIDjQFFRkVauXKl58+apsLBQmzZtUkVFhdasWSOpd/r25MmTev311yX1rhLOycnRrFmz5Ha79eabb2rr1q3aunVrKN8GMCp5pn9jI2O9W6QQAIcuKjxK01KmaVrKNJ9z3T3dqnRWngmGDaX6+OTn2nH8HcliKMq4WM8sv0yZib3P+aXfgZFDABwHli9frvr6ev34xz9WdXW1Zs+erXfeeUeTJ0+WJFVXV6uiosJ7vdvt1sMPP6yTJ08qJiZGs2bN0ttvv62bbropVG8BGLX8LQBhJGpkhIeFKycxRzmJOVo8ZbH32cth+qt65FRMd6Ee2vIPbV5doPAIp2pba2WRRbPSZoW6dGDMIwCOE/fdd5/uu+8+v+deffXVfq8feeQRPfLII0GoChj7zg6AhmEwEhUAnvB3vKFFPTEtkqTJiXbvwpD7bmiVJF2ccrFiI2NDWSowLozth0UCQIB5N4H+8v6/E84TaupoUkRYhGak8ujEkVDtaPeu9r0oSZJ6JEm/u2uxspNjVdHQpsf+v3ckMeoKjBQCIAAM4uwVwJ7RvxmpM0bNY9PGujhrhFImRCk7OVa/XNG7gXVMRIzyUpO1eXWBspNj1RV+TBKjrsBIIQACwCDOngLm/r+RlxAdqde+PV9b7i1QVGS7pDP9nZkYoy33FigpsVoSARAYKQRAABjE2QGQ+/8CIyE6UnZbjN9FNxPjI3W47nNJBG9gpBAAAWAQDR0EwGDy3nMZk+Q9dqT+iFzdLsVFxik3KTdUpQHjCgEQAAbRdxGIq8ulw/WHJTESFSiDPXd5TvochVn4zxYwEvibBACD6LsI5FDdIXX1dCkxOlGTEiaFuLLxyRsAo30D4KVpjLoCI4UACACD6Dsi1Xf612KxhLKscauxo/+qa6nPwhs/j5oDcH4IgAAwCL8BkJGogBlsCpj7LoGRQwAEgAEYhtEvkDASFXhnB0BHh0PHHcclcd8lMJIIgAAwgPaudrm6XZJ6V6UyEhV4Z68C3l+7X5I0KWFSv5XBAC4MARAABuBZABJuCZery6Xqlt7NiGenzQ5lWeMa+y4CwUEABIAB9A0jnpGoKUlTNCFqQijLGtfOXgTCfZdAYBAAAWAAA60ARuD4jADW0u9AIBAAAWAArAAOrvbOdnV0dUjq7XPDMPTZKRbeAIFAAASAAfRdkMBIVOB5+jvcEq74qHgddxxXs7tZkWGRmp4yPcTVAeMLARAABtD3MXAHag9IYiQqkPoGbovF4h11nTlxpiLDI0NZGjDuEAABYACeBQlhljC1d7UrJiJGeUl5Ia5q/Dp7AQjTv0DgEAABYACeESlXV+9egLPTZis8LDyUJY1rAy4A4b5LYMQRAAFgAJ5A4nQ5JfEkikBjD0AgeAiAADAATyA53XZaEkEk0Prec9ne2a4v6r+QRL8DgUAABIABeALJyeaTkggigdZ3BPDzus/VY/QoJSZFGRMyQlwZMP4QAAFgAJ5FCTUtNZJYjBBonkfvnb3xtsViCWVZwLhEAASAAXhGpCTJPsGu1NjUEFYz/jV08OQVIFgIgADgR2d3p3fxh0QQCYa+U8Cf1X65BQwLb4CAIAACgB9NHU39XhMAA6/vIhBGAIHAIgACgB99H0smMRIVDH2n3Gtba2WRRbPSZoWwImD8IgACgB+eBSCGDEmMRAWDZxHIqZZTkqSLUy5WbGRsKEsCxi0CIAD44RmN6jF6FBEWoRmpM0Jc0fjW1dMlh8shSTrRfEISo65AIBEAAcCPvtORM1JnyBphDWE141/fey5LG0olMeoKBBIBEAD86BsAGYkKPE9/J1gTtL92vyQCIBBIBEAA8KNvACSIBJ7n/r+k6CQdPH1QEsEbCCQCIAD44QkkEgEwGDyBOzYyVq5ul+Ii45SblBviqoDxiwAIAH6cbjvt/Z6RqMDz2XYnfY7CLPwnCggU/nYBwJecHZ2qdrRLkiqdlZKkmIgYTUqYpGpHu5wdnaEsb1zzBMAuo0sSoRsINALgOPH8888rNzdX0dHRys/P11//+tdBr9+5c6fy8/MVHR2tKVOmaOPGjUGqFBidnB2dWvXyR1r+4m5VNbWrurlakpSblKtqR4eWv7hbq17+iBAYIJ4A2N7ZG8CZdgcCiwA4DmzZskUPPvigfvCDH6ikpEQLFizQ0qVLVVFR4ff68vJy3XTTTVqwYIFKSkr02GOP6YEHHtDWrVuDXDkwerS6ulTf4lZFQ5tWbNqturbeQDI5YapWbNqtioY21be41erqCnGl45Nn423PnwRAILAIgOPA008/rbvuukt33323LrnkEj377LPKysrSCy+84Pf6jRs3Kjs7W88++6wuueQS3X333fr2t7+tp556KsiVA6OH3RajzasLlJ0cq4qGNjldzZKk/cdtqmhoU3ZyrDavLpDdFhPiSscnzwig0+WUxBQwEGgEwDHO7Xbr448/1pIlS/odX7JkiT744AO/bXbt2uVz/Q033KC9e/eqs9P/9JbL5ZLT6ez3BYw3mYm9ITArKUbGl/eiNXRUK85Woh/fZlNSXIgLHMf6brszKWGSkmKSQlgNMP5FhLoAXJi6ujp1d3crPT293/H09HTV1NT4bVNTU+P3+q6uLtXV1clut/u02bBhg9avXz9yhQOjVGZijNZcb9Hf3up93RrxPzro/h8tevOHknrDydTkqcpLytPU5Kne7/OS85RgTQhh5WMb+y4CwUUAHCcsFku/14Zh+Bw71/X+jnusXbtWRUVF3tdOp1NZWVnnWy4walU1teuZ/z4pa/cMdVkaFdVzscIjT8kSeUrNbqdOOE/ohPOEio8V+7SdGDuxXyicmjxVecm9f6bEpAz6d9Ls+gXANAIgEGgEwDEuNTVV4eHhPqN9tbW1PqN8HhkZGX6vj4iIUEpKit82VqtVVivPQsX4VtXU3rsAxJGk+cnP65nll+mhLf9QRUObspJi9MLqi9XSfVJlDWUqbShVWWPvn6UNpTrddtr7tevELp+fbbPavGFwatKZYDg1earsE+ymD4eexR9S7x6AAAKLADjGRUVFKT8/X9u3b9ett97qPb59+3bdcsstftsUFhbqrbfe6nfsvffe07x58xQZGRnQeoHRqtrR7l3t61nw4bkn0HP8vjdKteXeAhVMKvBp73Q5/QbDssYynXCekMPl0CfVn+iT6k982sZExCgvOc9nWnlq8lRl2bIUETa+P6oNw2AKGAiy8f2pYhJFRUVauXKl5s2bp8LCQm3atEkVFRVas2aNpN7p25MnT+r111+XJK1Zs0bPPfecioqKdM8992jXrl166aWX9Pvf/z6UbwMIqThrhFImREmSN/xJ6hcCUyZEKc7q/2MzwZqgufa5mmuf63OuvbNd5U3lZ0JhQ5lKG3u/P950XO1d7dpfu1/7a/f7tI0Mi1ROYo7fqeXcxFxZI8b+yHyLu0VdPb2LbiIsEZqeMj3EFQHjHwFwHFi+fLnq6+v14x//WNXV1Zo9e7beeecdTZ48WZJUXV3db0/A3NxcvfPOO3rooYf0m9/8RpmZmfrVr36l2267LVRvAQi5hOhIvfbt+Wp1dfls9ZKZGKMt9xYozhqhhOjhj5LHRMZo5sSZmjlxps+5zu5OHXcc944e9h1BPNp4VK5ul440HNGRhiM+bS2yKNuW3TudnDS13z2HeUl5iosaG8uW+47+zZw4U5HhzEQAgWYxPHf/A8PgdDpls9nkcDiUkMDKRyAQeowenXSe9DutXNpQqhZ3y6DtMyZk+F2xPDV56qjaZqWkukRXbLpCkvS/L/3feuPWN0JckTnwOW5ujAACwCgVZglTli1LWbYsLcpd1O+cYRiqba31GwzLGspU316vmpYa1bTU6G8Vf/P52ckxyWemk/sGxOQ8pcelB3VRSt8FIKwABoKDAAgAY5DFYlH6hHSlT0jXVVlX+ZxvbG9UWWPZmanlxlLv99Ut1Wpob1BDe4P2VO3xaRsXGXdmOvmsFcuTEiYpzHLhzxBwdnR6p9vPXgBS7Wg/7+l2AENDAASAcSgpJknzYuZpXuY8n3Ot7lYdbTzqd2q5wlGh1s5W/ePUP/SPU//waRsVHqUpSVP6L0j58s+cxJwh3b/n7OjUqpc/Un2LW5tXF6im5cy2VBOjp2r5i70Lbl779nxCIBAgBEAAMJm4qDjNSZ/jd789V5dLx5qO9ZtO9qxYLm8sl7vbrUN1h3So7pBP23BLuLJt2T73G05NnqopSVMUE9m7uKbV1aX6FrcqGtq0YtNuTZ12QJIUFW7Vv/72uCob273XEQCBwGARCM4LNw8D5tPd061KZ+WZYHjWCGJ7V/ug7S+Kv8g7rZwWO1l/3NOtpuZkdcS8oSbjY0Vpouztr/TbhxGBw+e4uREAcV744ADQl2EYqmmp8V2Q0limI/VH5HA5zvkzwnvSdFXcZsJfkPA5bm5MAQMALpjFYpE93i57vF0LJi/od87zpA9/K5YPnT6iho7TkqRwI1HPLL+M8AcEASOAOC/8yxHAhfI8e/lIwyF1hH+oqO5LND15PiOAQcLnuLld+Fp+AACGyRP+KhradHHyDP3P6qc1PXm+d2FIVdPg9xMCuDAEQABAUFU7zoQ/z4KP/MnJ2ry6QNnJsd4QWO0gBAKBQgAEAARVnDVCKROifFb7ZibGeENgyoQoxVm5TR0IFO4BxHnh3hEAF6Lvk0DOxpNAgoPPcXPjn1cAgKBLiI4cMOD5C4UARhZTwAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAjnGNjY1auXKlbDabbDabVq5cqaampkHb3HnnnbJYLP2+CgoKglMwAAAIuYhQF4ALc8cdd+jEiRN69913JUmrV6/WypUr9dZbbw3a7sYbb9Qrr7zifR0VFRXQOgEAwOhBABzDPv/8c7377rvavXu3rrzySknSf/zHf6iwsFCHDx/W9OnTB2xrtVqVkZERrFIBAMAowhTwGLZr1y7ZbDZv+JOkgoIC2Ww2ffDBB4O2LS4uVlpamqZNm6Z77rlHtbW1gS4XAACMEowAjmE1NTVKS0vzOZ6WlqaampoB2y1dulS33367Jk+erPLycv3whz/Uddddp48//lhWq9VvG5fLJZfL5X3tdDov/A0AAICQYARwFFq3bp3PIo2zv/bu3StJslgsPu0Nw/B73GP58uW6+eabNXv2bC1btkx//vOf9cUXX+jtt98esM2GDRu8C01sNpuysrIu/I0CAICQYARwFLr//vu1YsWKQa/JycnRp59+qlOnTvmcO336tNLT04f8++x2uyZPnqwjR44MeM3atWtVVFTkfe10OgmBAACMUQTAUSg1NVWpqannvK6wsFAOh0MfffSR5s+fL0n68MMP5XA4dNVVVw3599XX16uyslJ2u33Aa6xW64DTwwAAYGxhCngMu+SSS3TjjTfqnnvu0e7du7V7927dc889+trXvtZvBfCMGTO0bds2SVJLS4sefvhh7dq1S8eOHVNxcbGWLVum1NRU3XrrraF6KwAAIIgIgGPcb3/7W82ZM0dLlizRkiVLdOmll+qNN97od83hw4flcDgkSeHh4frss890yy23aNq0aVq1apWmTZumXbt2KT4+PhRvAQAABJnFMAwj1EVg7HE6nbLZbHI4HEpISAh1OQCAYeJz3NwYAQQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgAIAABgMgRAAAAAkyEAAgAAmAwBEAAAwGQIgAAAACZDAAQAADAZAiAAAIDJEAABAABMhgA4xv30pz/VVVddpdjYWCUmJg6pjWEYWrdunTIzMxUTE6OFCxfqwIEDgS0UAACMGgTAMc7tduv222/Xd77znSG3efLJJ/X000/rueee0549e5SRkaHrr79ezc3NAawUAACMFgTAMW79+vV66KGHNGfOnCFdbxiGnn32Wf3gBz/QN77xDc2ePVuvvfaa2tra9Lvf/S7A1QIAgNGAAGgy5eXlqqmp0ZIlS7zHrFarrr32Wn3wwQchrAwAAARLRKgLQHDV1NRIktLT0/sdT09P1/Hjxwds53K55HK5vK+dTmdgCgQAAAHHCOAotG7dOlkslkG/9u7de0G/w2Kx9HttGIbPsb42bNggm83m/crKyrqg3w8AAEKHEcBR6P7779eKFSsGvSYnJ+e8fnZGRoak3pFAu93uPV5bW+szKtjX2rVrVVRU5H3tdDoJgQAAjFEEwFEoNTVVqampAfnZubm5ysjI0Pbt2zV37lxJvSuJd+7cqSeeeGLAdlarVVarNSA1AQCA4GIKeIyrqKjQvn37VFFRoe7ubu3bt0/79u1TS0uL95oZM2Zo27Ztknqnfh988EH97Gc/07Zt27R//37deeedio2N1R133BGqtwEAAIKIEcAx7kc/+pFee+0172vPqN6OHTu0cOFCSdLhw4flcDi81zzyyCNqb2/Xfffdp8bGRl155ZV67733FB8fH9TaAQBAaFgMwzBCXQTGHqfTKZvNJofDoYSEhFCXAwAYJj7HzY0pYAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIBj3E9/+lNdddVVio2NVWJi4pDa3HnnnbJYLP2+CgoKAlsoAAAYNQiAY5zb7dbtt9+u73znO8Nqd+ONN6q6utr79c477wSoQgAAMNpEhLoAXJj169dLkl599dVhtbNarcrIyAhARQAAYLRjBNCkiouLlZaWpmnTpumee+5RbW1tqEsCAABBwgigCS1dulS33367Jk+erPLycv3whz/Uddddp48//lhWq9VvG5fLJZfL5X3tdDqDVS4AABhhjACOQuvWrfNZpHH21969e8/75y9fvlw333yzZs+erWXLlunPf/6zvvjiC7399tsDttmwYYNsNpv3Kysr67x/PwAACC1GAEeh+++/XytWrBj0mpycnBH7fXa7XZMnT9aRI0cGvGbt2rUqKiryvnY6nYRAAADGKALgKJSamqrU1NSg/b76+npVVlbKbrcPeI3Vah1wehgAAIwtTAGPcRUVFdq3b58qKirU3d2tffv2ad++fWppafFeM2PGDG3btk2S1NLSoocffli7du3SsWPHVFxcrGXLlik1NVW33nprqN4GAAAIIkYAx7gf/ehHeu2117yv586dK0nasWOHFi5cKEk6fPiwHA6HJCk8PFyfffaZXn/9dTU1Nclut2vRokXasmWL4uPjg14/AAAIPothGEaoi8DY43Q6ZbPZ5HA4lJCQEOpyAADDxOe4uTEFDAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIAAAAAmQwAEAAAwGQIgAACAyRAAAQAATIYACAAAYDIEQAAAAJMhAAIAAJgMARAAAMBkCIBj2LFjx3TXXXcpNzdXMTExysvL0+OPPy632z1oO8MwtG7dOmVmZiomJkYLFy7UgQMHglQ1AAAINQLgGHbo0CH19PToxRdf1IEDB/TMM89o48aNeuyxxwZt9+STT+rpp5/Wc889pz179igjI0PXX3+9mpubg1Q5AAAIJYthGEaoi8DI+cUvfqEXXnhBR48e9XveMAxlZmbqwQcf1Pe//31JksvlUnp6up544gnde++9Q/o9TqdTNptNDodDCQkJI1Y/ACA4+Bw3t4hQF4CR5XA4lJycPOD58vJy1dTUaMmSJd5jVqtV1157rT744IMBA6DL5ZLL5er3e6TeDxAAwNjj+fxmHMicCIDjSFlZmX7961/rl7/85YDX1NTUSJLS09P7HU9PT9fx48cHbLdhwwatX7/e53hWVtZ5VgsAGA3q6+tls9lCXQaCjAA4Cq1bt85v2Oprz549mjdvnvd1VVWVbrzxRt1+++26++67z/k7LBZLv9eGYfgc62vt2rUqKiryvm5qatLkyZNVUVExpj44nE6nsrKyVFlZOeamPMZq7dQdXNQdfGO1dofDoezs7EFnjTB+EQBHofvvv18rVqwY9JqcnBzv91VVVVq0aJEKCwu1adOmQdtlZGRI6h0JtNvt3uO1tbU+o4J9Wa1WWa1Wn+M2m21MfeB5JCQkjMm6pbFbO3UHF3UH31itPSyM9aBmRAAchVJTU5Wamjqka0+ePKlFixYpPz9fr7zyyjn/Iufm5iojI0Pbt2/X3LlzJUlut1s7d+7UE088ccG1AwCA0Y/YP4ZVVVVp4cKFysrK0lNPPaXTp0+rpqbGe5+fx4wZM7Rt2zZJvVO/Dz74oH72s59p27Zt2r9/v+68807FxsbqjjvuCMXbAAAAQcYI4Bj23nvvqbS0VKWlpZo0aVK/c31XdR0+fNi7aleSHnnkEbW3t+u+++5TY2OjrrzySr333nuKj48f8u+2Wq16/PHH/U4Lj2ZjtW5p7NZO3cFF3cE3Vmsfq3VjZLAPIAAAgMkwBQwAAGAyBEAAAACTIQACAACYDAEQAADAZAiAGJJjx47prrvuUm5urmJiYpSXl6fHH39cbrd70HaGYWjdunXKzMxUTEyMFi5cqAMHDgSp6l4//elPddVVVyk2NlaJiYlDanPnnXfKYrH0+yooKAhsoWc5n7pHQ383NjZq5cqVstlsstlsWrlypZqamgZtE6r+fv7555Wbm6vo6Gjl5+frr3/966DX79y5U/n5+YqOjtaUKVO0cePGgNfoz3DqLi4u9ulbi8WiQ4cOBbFi6f3339eyZcuUmZkpi8WiP/7xj+dsMxr6e7h1j5b+3rBhg77yla8oPj5eaWlp+vrXv67Dhw+fs91o6HMEBwEQQ3Lo0CH19PToxRdf1IEDB/TMM89o48aNeuyxxwZt9+STT+rpp5/Wc889pz179igjI0PXX3+9mpubg1R570bXt99+u77zne8Mq92NN96o6upq79c777wToAr9O5+6R0N/33HHHdq3b5/effddvfvuu9q3b59Wrlx5znbB7u8tW7bowQcf1A9+8AOVlJRowYIFWrp0qSoqKvxeX15erptuukkLFixQSUmJHnvsMT3wwAPaunVrQOu80Lo9Dh8+3K9/L7744iBV3Ku1tVWXXXaZnnvuuSFdP1r6e7h1e4S6v3fu3Knvfve72r17t7Zv366uri4tWbJEra2tA7YZLX2OIDGA8/Tkk08aubm5A57v6ekxMjIyjJ///OfeYx0dHYbNZjM2btwYjBL7eeWVVwybzTaka1etWmXccsstAa1nqIZa92jo74MHDxqSjN27d3uP7dq1y5BkHDp0aMB2oejv+fPnG2vWrOl3bMaMGcajjz7q9/pHHnnEmDFjRr9j9957r1FQUBCwGv0Zbt07duwwJBmNjY1BqG5oJBnbtm0b9JrR0t99DaXu0djfhmEYtbW1hiRj586dA14zGvscgcMIIM6bw+EY9CHi5eXlqqmp0ZIlS7zHrFarrr32Wn3wwQfBKPGCFBcXKy0tTdOmTdM999yj2traUJc0qNHQ37t27ZLNZtOVV17pPVZQUCCbzXbOGoLZ3263Wx9//HG/vpKkJUuWDFjnrl27fK6/4YYbtHfvXnV2dgas1r7Op26PuXPnym63a/HixdqxY0cgyxwRo6G/L8Ro62/PwwAG+8we632O4SEA4ryUlZXp17/+tdasWTPgNZ5H0qWnp/c7np6e7vO4utFm6dKl+u1vf6u//OUv+uUvf6k9e/bouuuuk8vlCnVpAxoN/V1TU6O0tDSf42lpaYPWEOz+rqurU3d397D6qqamxu/1XV1dqqurC0idZzufuu12uzZt2qStW7fqD3/4g6ZPn67Fixfr/fffD0bJ52009Pf5GI39bRiGioqKdPXVV2v27NkDXjdW+xznhwBocuvWrfN7w3Lfr7179/ZrU1VVpRtvvFG333677r777nP+DovF0u+1YRg+x4JR93AsX75cN998s2bPnq1ly5bpz3/+s7744gu9/fbbo7puKfT97e93nauGQPX3uQy3r/xd7+94oA2n7unTp+uee+7RFVdcocLCQj3//PO6+eab9dRTTwWj1AsyWvp7OEZjf99///369NNP9fvf//6c147FPsf54VnAJnf//fdrxYoVg16Tk5Pj/b6qqkqLFi1SYWGhNm3aNGi7jIwMSb3/qrTb7d7jtbW1Pv/KHK7h1n2h7Ha7Jk+erCNHjlzQzwlk3aOhvz/99FOdOnXK59zp06eHVcNI9fdAUlNTFR4e7jNqNlhfZWRk+L0+IiJCKSkpAanzbOdTtz8FBQV68803R7q8ETUa+nukhLK/v/e97+lPf/qT3n//fZ9nxp9tPPU5zo0AaHKpqalKTU0d0rUnT57UokWLlJ+fr1deeUVhYYMPIOfm5iojI0Pbt2/X3LlzJfXew7Rz50498cQTQat7JNTX16uysrJfsDofgax7NPR3YWGhHA6HPvroI82fP1+S9OGHH8rhcOiqq64a8u8bqf4eSFRUlPLz87V9+3bdeuut3uPbt2/XLbfc4rdNYWGh3nrrrX7H3nvvPc2bN0+RkZEBqfNs51O3PyUlJQHr25EyGvp7pISivw3D0Pe+9z1t27ZNxcXFys3NPWeb8dTnGIJQrT7B2HLy5Elj6tSpxnXXXWecOHHCqK6u9n71NX36dOMPf/iD9/XPf/5zw2azGX/4wx+Mzz77zPjnf/5nw263G06nM2i1Hz9+3CgpKTHWr19vTJgwwSgpKTFKSkqM5uZmv3U3Nzcb//Zv/2Z88MEHRnl5ubFjxw6jsLDQuOiii0Z13YYxOvr7xhtvNC699FJj165dxq5du4w5c+YYX/va1/pdMxr6e/PmzUZkZKTx0ksvGQcPHjQefPBBIy4uzjh27JhhGIbx6KOPGitXrvRef/ToUSM2NtZ46KGHjIMHDxovvfSSERkZafzXf/1XwGocibqfeeYZY9u2bcYXX3xh7N+/33j00UcNScbWrVuDWndzc7P3/8OSjKefftooKSkxjh8/7rfu0dLfw617tPT3d77zHcNmsxnFxcX9Pq/b2tq814zWPkdwEAAxJK+88oohye9XX5KMV155xfu6p6fHePzxx42MjAzDarUa11xzjfHZZ58FtfZVq1b5rXvHjh1+625razOWLFliTJw40YiMjDSys7ONVatWGRUVFaO6bsMYHf1dX19vfPOb3zTi4+ON+Ph445vf/KbPlhijpb9/85vfGJMnTzaioqKMK664ot8WGatWrTKuvfbaftcXFxcbc+fONaKiooycnBzjhRdeCHiN/gyn7ieeeMLIy8szoqOjjaSkJOPqq6823n777aDX7Nke5eyvVatW+a3bMEZHfw+37tHS3wN9Xvf9vBitfY7gsBjGl3d4AgAAwBRYBQwAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMkQAAEAAEyGAAgAAGAyBEAAAACTIQACAACYDAEQAADAZAiAAAAAJkMABAAAMBkCIAAAgMn8/02/S6ebYq+LAAAAAElFTkSuQmCC' 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_RotatedCube2D)\n",
    "except (NameError, AttributeError):\n",
    "    pass\n",
    "fig_RotatedCube2D = mpl.figure()\n",
    "ax_RotatedCube2D = fig_RotatedCube2D.add_subplot()\n",
    "\n",
    "\n",
    "def update_fig_RotatedCube2D(button=None):\n",
    "    ax_RotatedCube2D.cla()\n",
    "    ax_RotatedCube2D.set(aspect=1, xlim=(-2, 2), ylim=(-2, 2))\n",
    "\n",
    "    ax_RotatedCube2D.scatter(\n",
    "        RotatedCubeVertices[:, 0], RotatedCubeVertices[:, 1], marker=\"x\"\n",
    "    )\n",
    "    for i, j in CubeEdges:\n",
    "        ax_RotatedCube2D.plot(*RotatedCubeVertices[[i, j]][:, [0, 1]].T, color=\"green\")\n",
    "\n",
    "\n",
    "update_fig_RotatedCube2D()\n",
    "\n",
    "btn_updatefigRotatedCube2D = widgets.Button(description=\"Update\")\n",
    "display(btn_updatefigRotatedCube2D)\n",
    "btn_updatefigRotatedCube2D.on_click(update_fig_RotatedCube2D)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "250f6cf6-94d2-4626-a882-a5f1c465fff6",
   "metadata": {},
   "outputs": [],
   "source": [
    "angle_x.observe(update_fig_RotatedCube2D, names=\"value\")\n",
    "angle_y.observe(update_fig_RotatedCube2D, names=\"value\")\n",
    "angle_z.observe(update_fig_RotatedCube2D, names=\"value\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8039594b-0edd-41c7-8a1c-820afb5d0972",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:jupyter_base] *",
   "language": "python",
   "name": "conda-env-jupyter_base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}