ISPITIVANJE_CVRSTOCE_FDM_3D_PRINTANOG_DIJELA/software/infill_simulator.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cbaa6f21-27f8-41d9-8030-78f8b3a587b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== Gyroid Infill 0.0% ===\n",
      "Total Area (approx)    = 46.3923 mm²\n",
      "Shell Area (approx)    = 31.2661 mm²\n",
      "Infill Area (approx)   = 15.1262 mm²\n",
      "Centroid (x_c, y_c)    = (0.0410, -0.0067)\n",
      "I_x (about centroid)   = 529.1912\n",
      "I_y (about centroid)   = 526.7176\n",
      "I_xy (product)         = 0.6072\n",
      "Polar moment, J        = 1055.9088\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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PP/5YL7zwghITE/X111+bugsqgKIRJoAY+/jjj/X999/rr3/9q9q0aaN3333X6ia50u7duzVmzBjNnDkz6HoXp512mv70pz9pxIgR3E0TiBHCBBBjWVlZ+uyzz3T55ZfrjTfeCLoXB6Lv+PHj+vHHH7Vnzx5Vq1ZNTZs2jfpdSgEEI0wAAABTuM4EAAAwhTABAABMIUwAFvH5fBoyZEjUXm/Tpk3y+XyBCyJJ0qhRowJXSASAWCFMADHwzTffqEePHqpXr55SU1N1xhlnqH379iG3lXaTdevWadiwYWrRooUqVqyomjVrqnPnzlq9enVU3+eHH35Qx44dVaFCBVWtWlW33HJLme4CumHDBqWmpsrn84W0cfHixRowYIDOOusspaenq2HDhvrTn/4UcilsACdwOW0gyj777DO1adNGdevW1a233qoaNWpoy5Yt+vzzz/X8889r6NChVjcxJqZMmaK///3v6t69uwYNGqQDBw5o8uTJuuSSS7Rw4cKo3Fzr119/1VVXXaWMjAw9/vjjOnz4sMaNG6dvvvlGK1euLPKCVcW59957lZSUpPz8/JDHhg8frt9++009e/bUmWeeqZ9//lkvvfSSPvjgA3355Zfc8wI4lVWX3gTcqlOnTkZmZqaxb9++kMd27twZ+H9JxuDBg6P2vkVdgjrcy2ZHw+rVq41Dhw4FTduzZ4+RmZlpXH755SHzr1q1yli7dm2Rr+X3+4u8lPSdd95ppKWlGZs3bw5My8nJMSQZkydPDrutCxcuNMqVK2c8/PDDhiRj1apVQY8vXbrUOH78eMg0ScZDDz0U9vsAXsFuDiDKNmzYoObNm6ty5cohj51++ukh095//32dc845SklJUfPmzbVw4cKQebZu3aoBAwaoevXqgfmmTp1apvbl5OToiiuuUOXKlVWhQgU1adIkcHMoMy688MKQq0tWq1ZNV155pX744YeQ+R988EF16NAh5BbphmFo4MCBGjhwoL755pugx+bOnatrr71WdevWDUxr166dzjrrLL399tthtdPv9+vuu+/W3XffrUaNGhU5z1VXXaWEhISQaVWrVg35LIXHvsyZM0fNmjVTWlqaLr300kDbJ0+erMaNGys1NVVZWVnatGlT0POzsrJ0zjnn6Ouvv1br1q2Vnp6uxo0b65133pEkLV26VK1atVJaWpqaNGmijz76KKzPCcQTYQKIsnr16mnNmjX69ttvS513+fLlGjRokHr16qWnnnpKv//+u7p37669e/cG5tm5c6cuueQSffTRRxoyZIief/55NW7cWAMHDtT48eMjatt3332na6+9Vvn5+RozZoyeeeYZdenSRZ9++mnQfHv27AnrX1G7CE61Y8cOnXbaaSHTZ8yYoYoVK6p9+/aBu3FK0n333afXX39dkyZN0rnnnhuYvnXrVu3atUsXXXRRyGtdfPHFWrt2bVh9MH78eO3bt08PP/xwWPMXOnz4sA4fPlzkZ/n3v/+t+++/X9nZ2Ro1apR++OEHXXvttZowYYJeeOEFDRo0SA888IBWrFihAQMGhDx/3759uvbaa9WqVSs99dRTSklJUa9evTR79mz16tVLnTp10tixY3XkyBH16NGjyNueA5ayemgEcJsPP/zQSExMNBITE41LL73UGDZsmLFo0aKQu0hKMsqVK2esX78+MO2rr74yJBkvvvhiYNrAgQONmjVrGnv27Al6fq9evYyMjAwjNzfXMIzwdnM899xzhiRj9+7dJX4GlXAnS5VyV8uTLVu2zPD5fMZf//rXIh/fsGGDUbNmTePss882du/ebfztb38zJBljx44NmXfVqlWGJOP1118PeeyBBx4wJBm///57ie3Zvn27UbFixcAukcK7dp66m6MohW1bvHhx0HRJRkpKStBdUCdPnmxIMmrUqGEcPHgwMP3BBx8s8o6pkoxZs2YFpq1bt86QZCQkJBiff/55YPqiRYvCvpsqEE8cgAlEWfv27bVixQo98cQTWrRokVasWKGnnnpKmZmZmjJlStCdK9u1axc01H7eeeepUqVK+vnnnyWdGPKfO3eubrjhBhmGoT179gTm7dChg9566y198cUXuvzyy8NqW+Gul3nz5ql///4hQ/mFcnJywnq95s2bF/vYrl271Lt3bzVo0EDDhg0rcp6GDRtq0aJFat26tS688EL98ssveuCBBzR8+PCQefPy8iRJKSkpIY+lpqYG5inq8ULDhw8PnJkRiWXLlmn06NG64YYbdPXVV4c83rZt26Cbt7Vq1UqS1L17d1WsWDFk+qk3e6tQoYJ69eoV+LtJkyaqXLmyzjjjjMBzTn0+YCeECSAGWrZsqXfffVdHjx7VV199pffee0/PPfecevTooS+//FLNmjWTpKB9/4WqVKkSuFHV7t27tX//fr3yyit65ZVXinyvXbt2hd2uG2+8UVOmTAnc+Kpt27a6/vrr1aNHj6BgYfbMiyNHjujaa6/VoUOHtHz58hLv1Hnuuedq6NChGjNmjGrUqKHRo0cXOV9aWpokFblr5ffffw+apyiff/65ZsyYocWLFxcbooqybt06XXfddTrnnHM0ZcqUIuc59XssvKFYnTp1ipx+8o3IJKl27doh1wPJyMgI+/mA1QgTQAyVK1dOLVu2VMuWLXXWWWepf//+mjNnjkaOHClJxd6Ayvi/W+YUFBRIkm6++WZlZ2cXOe95550XdnvS0tK0bNkyLVmyRP/85z+1cOFCzZ49W1dffbU+/PDDQHt27NgR1utlZGSErMCPHj2q66+/Xl9//bUWLVqkc845p8TXmD9/vh5//HFlZWVpxYoVuuGGG/Tee+8pKSm4PNWsWVOSirzWw/bt21W1atUSRyWGDRumK6+8Ug0aNAgcBFk40rN9+3b98ssvIaFgy5Ytuuaaa5SRkaEFCxYEjTKcrLjvsbTvN1rPB6xGmADipPDAwUgufJSZmamKFSvq+PHjUblOgyQlJCSobdu2atu2rZ599lk9/vjjeuihh7RkyZLAexSuuEszbdo09evXL/B3QUGB+vbtq8WLF+vtt99W69atS3z+0qVLdcMNN6hdu3b6xz/+ofnz5+uGG25Qv379NGPGjKCt9TPOOEOZmZlFXgRr5cqVatGiRYnv9csvv2jz5s1q0KBByGNdunRRRkaG9u/fH5i2d+9eXXPNNcrPz9fixYvD7hPAiwgTQJQtWbJEWVlZIcPWCxYskHRif3i4EhMT1b17d82aNUvffvttyFb+7t27lZmZGfbr/fbbb6patWrQtMKV8Mm7D8p6zMTQoUM1e/ZsTZ48Wddff32Jz/3iiy/UpUsXXXjhhZo7d66Sk5N1/fXX65VXXtHAgQNVpUqVkCuGdu/eXdOnT9eWLVsCuwAWL16s//73v7r33nsD8/n9fm3YsEEZGRmBEPDKK68oNzc36PU+/vhjvfjiixo3bpyaNm0amH7kyBF16tRJW7du1ZIlS3TmmWeG1R+AVxEmgCgbOnSocnNzdd1116lp06Y6evSoPvvsM82ePVv169dX//79I3q9sWPHasmSJWrVqpVuvfVWNWvWTL/99pu++OILffTRR/rtt9/Cfq0xY8Zo2bJl6ty5s+rVq6ddu3bp5ZdfVu3atXXFFVcE5ivLKMj48eP18ssv69JLL1V6erreeOONoMevu+46lS9fPvB34cGQ//znP5Wenh6YPmDAAO3bt0/Dhw/XbbfdFnR66F/+8hfNmTNHbdq00d13363Dhw/r6aef1rnnnhvUr1u3btXZZ5+t7OzswL1KrrnmmpA2F45EtG7dOuiU0z59+mjlypUaMGCAfvjhh6BrS1SoUEHdunWLuH8ANyNMAFE2btw4zZkzRwsWLNArr7yio0ePqm7duho0aJAefvjhIi9mVZLq1atr5cqVGjNmjN599129/PLLqlatmpo3b64nn3wyotfq0qWLNm3apKlTp2rPnj067bTT1Lp1a40ePTpwcF9Zffnll5KkFStWaMWKFSGPb9y4MShMvP7660pMTCzyfe+//361bds2KEhIJw5oXLp0qe677z6NGDFC5cqVU+fOnfXMM8+UeLxEWT/L1KlTQy4OVq9ePcIEcAqfwZE8AADABK6ACQAATCFMAAAAUwgTAADAFMIEAAAwhTABAABMIUwAAABTPHWdiYKCAm3btk0VK1YMuTohAAAIZhiGDh06pFq1apV4gzxPhYlt27aF3IUPAACUbMuWLapdu3axj3sqTBTe8e8KdVKSki1uTfiS0pI14O/Xa+rAd3Usz291c1yP/o4/+jy+6O/4cnJ/H5Nfy1X8HXMLeSpMFO7aSFKyknzOCRPJvmSlp6cr2ZcssXcm5ujv+KPP44v+ji9H9/f/XSO7tEMDOAATAACYQpgAAACmECYAAIAphAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKYQJAABgCmECAACYQpgAAACmECYAAIAphAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKYQJAABgCmECAACYQpgAAACmECYAAIAphAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKUlWNwCwWk7BnKC//X6/FixYoHn7pys5OdmiVnkLfR6e9gk9rW6Cp51aK8IV7vLt5O+XkQkAAGAKIxPwtLJuaQDx5OQtVregVpSMkQl4FsUBTkCQsB61onSODRNjx46Vz+fTPffcY3VTACDq2if0JEjYAEEiPI7czbFq1SpNnjxZ5513ntVNgUNRIGBHhAc4leNGJg4fPqw+ffro1VdfVZUqVaxuDhwmp2AOQQK2RJCwH2pF+Bw3MjF48GB17txZ7dq106OPPlrivPn5+crPzw/8ffDgQUlSUlqykn3OOf0sOS0p6L8oO7/fH/Y84cyL6PByn3etnC1JSk6LX02ipoQnWstjuMt3PJeBsBmS8kqfzWcYhhHzxkTJW2+9pccee0yrVq1SamqqsrKy1KJFC40fP77I+UeNGqXRo0eHTJ81a5bS09Nj3FoAAJwtNzdXvXv31oEDB1SpUqVi53NMLN2yZYvuvvtu5eTkKDU1NaznPPjgg7rvvvsCfx88eFB16tTR1IHvOm5kYsDfu2vqwLny5x2zujmONW//9LDm8/v9ysnJUfv27bmAUpx4sc8LRySsQE0pXbj1IhzhLt9WLhPF8Rvhjc44JkysWbNGu3bt0v/7f/8vMO348eNatmyZXnrpJeXn5ysxMTHoOSkpKUpJSQl5rWN5fskX8yZHnT/vmPx53hsGjpZIV1LJycmeWbHZhRf63E7HRlBTiheL5bC05duO38Uxt4WJtm3b6ptvvgma1r9/fzVt2lTDhw8PCRIAYCd2ChEoGQdeRs4xYaJixYo655xzgqaVL19e1apVC5kOnIriAKsQIuAFjjs1FACcgiABr3DMyERRPvnkE6ubAABBCBDwIkYmACBKCBLwKsIEAAAwxdG7OQDALhiVcD4O1C47wgRcjwKBWCJEAIQJACgTQgTwPxwzAQARIkgAwQgTABABggQQit0cABAGQgRQPEYmAACAKYQJACgFoxJAydjN4RLRPP3RbYWzfUJPTg9Fmbnt95BTMEd+v18LFizQvP3TTd1q2219g7IjTDhQrFeMRb0+RQNe44ZlPt61wg19hrIhTDjAvP3To7IVYUZh0aBYwAucvJxbOQp38ns7sQ8L28xIZuQIEzZ18sLs9/stbEkwQgXczmnLtl1XfE4PFogMYcJG7FoUipJTMIcCAddx0jJNvYCdECZQZmx5wE3svgw7KTwUhVFNd+PUUAAAYAphAlHh9K0meJudt5ZzCua46vflps+C/yFMIGrsXCTsvLKAddon9LTtsuG2EHEyu38uuy4TdkaYQFTZvUgAhey6wnBziDiZVz6nVxAmEHUUCNidHYOEV1euXvzMbkSYQEzYsUDYcQWC+LPjcmDH30s8ef3zuwFhAjHj1S0tIFz8Rv7Hbv1gx9BpZ4QJAABgCmECMWe3LQ54l522NvldhKJPnIswgbigSMBqdggShbs1+D0Uj75xJsIE4sYORcLO1xVAbNjlO7fD8u8UdukrOyw3TkGYQFzZpUjAG+yyMmC5h9sRJuBJdlnJwP0IEmXD7iBnIUwg7igQiAc7BEaWdfOs7kM7LEdOQJiAJdjqQCxZvQJg+Y4u+tL+CBMAAMAUwgQ8y+qtV8SG1d8rW9HuY/Uy5QSECViKwgs3YXmOHfrW3ggTsJyVRYItDnex8vtkZRd71Ar7IkzAFijEMIsgAViHMAHPY4sDZhAk4svq0QnqRdGSrG4AUCinYA4/VETMqmWGEGGdwr6nXtgHIxMAAMAUwgRsxaqtPbZwnInvDVZguQtFmACACLGLwx74HuyDMAHbsXJ0gi0O5+BYCUiMZtoFYQK2ZOW9DbpWzrbkfRE+CjnsgOXwfwgTABAmRiXsie/FeoQJ2BpFAqdi9waKwu4OaxEmAACAKYQJoBgcO2E/bAXCjlguCRNwAIaXYTWWQWfge7IOYQKOwP5Qb7PytF1WUM7CqeXWIEwApfBygbAD+h9O4tXllTABx+BugYgnK691AnOs/u68WCsIE3AUq4u7F4uElehvmGF1vfASwgQcx+qtDsSHlUGC5QtmeS0IEyYAAIAphAkgQl7b4gCcjGMn4oMwAceiSLgXuzgQTdSK2CNMwNEoEu5DvyIWrKwVXriaLmECMIEVn7swKoFYcnOoIEzA8axeARAoosfNxRbWs7pWSO6tF4QJuILVRYKLWplDiEC82OHUcjfWCsIEAAAwhTAB17B6a0NihKIs7NJfdlh+4B12We6jhTABxIDbCgXgNnYIj27a+CBMwFXssD+0kFuKRCzRR7CSnWqF038LhAm4kt2KhNMLRSzYqU/ssrwg/vjuo4MwAdeyW5Gw08rTavQF7MRutcKJCBNwNbsVCVai9AHsyW61wmkIEwAAwJQkqxsAxFpOwRxbbQ0XtsVrW0J2+g4Kee07AGKFkQl4gh1XGl46ONMLnxHOZ6ezwZyGMAHYgJtDhVs/F9yLQBE5wgQ8wwkFwk2hwk2fBd7jhHphJ4QJeIpThjGdviJ2ctuBQk6oFXbBAZjwJLsdlFmck9to98LmhP48md37E/bglFphNUYm4FlOW5nY+YBNO7YJiBan1QorECYAAIAp7OaApzl1CPPUNlux5eTEfgPKyqm1Il4IE/A8NxSJeIQLp/cRYFbh74rfQijCBKDglW+n8r0tbEl0hFvsTg0dFEmgdG7YAIk2wgRwinn7p2vBggVWNyMuKIhA2TBKEYwDMAEAKCPO9DjBMWHiiSeeUMuWLVWxYkWdfvrp6tatm3788UermwUXm7d/utVNAOAABAoHhYmlS5dq8ODB+vzzz5WTkyO/369rrrlGR44csbppAAB4mmOOmVi4cGHQ36+99ppOP/10rVmzRldddZVFrYLbcaAVgHB4/RgKx4SJUx04cECSVLVq1WLnyc/PV35+fuDvgwcPSpKS0pKV7EuObQPLwO/3lzi9uMcRXaf294L8WYHHulbOtqRNbpeclhT033jw8u+JmhI7hfXi5FphxfIdNYakvNJn8xmGYcS8MVFWUFCgLl26aP/+/Vq+fHmx840aNUqjR48OmT5r1iylp6fHsokAADhebm6uevfurQMHDqhSpUrFzufIMHHnnXfqX//6l5YvX67atWsXO19RIxN16tRRu7QethyZKO6AP7/fr5ycHLVv317JyfZrt9uE09+MUERXclqSBvy9u6YOnCt/3rG4vKeXD7ClpsRP18rZlizf0eI3/Poo751Sw4TjxlyGDBmiDz74QMuWLSsxSEhSSkqKUlJSQqYfy/NLvli1sOxK+1EnJyfzw4+jkvp7wZETQ5le3T8aK/68Y/LnxWfond8SNSUeFhyZJb/frwULFsR1+Y6WY0Z47XXM2RyGYWjIkCF677339PHHH6tBgwZWNwnglDAAYXPzaJhjRiYGDx6sWbNmad68eapYsaJ27NghScrIyFBaWprFrQMAwLscMzIxceJEHThwQFlZWapZs2bg3+zZs61uGjwup2BO4B+cg11UsIJba4VjwoRhGEX+69evn9VNAwLcWCQARJ/baoVjwgTgFG7d8gAQXW6qFYQJIEbcUiTcrH1CT3Z3wHJuCBWOOQATcKKTCwQrLQBuxcgEECdu2PpwK4IeYA5hAogzQgUAtyFMAAAAUwgTgEUYnbAXdnUAZUeYACzEBa/shUABlA1hArAJQgUApyJMADZDqLAWoxNA5AgTgE0RKKxDoAAiw0WrABvjolfWKexvQh1QOkYmAACAKYQJwCE4lsIajAgBpSNMAA5DqIg/AgVQMsIE4FCEivjiDqNA8QgTgMMRKuKLQAGEIkwALkGgiB8CBRCMU0MBFykMFKzsYu/kPibIwesYmQAAAKYQJgAX4jiK+GIkCF5HmABcjFARP5ztAS8jTAAeQKCIHwIFvIgwAXgEgSJ+CkcpCBbwCsIE4CEEivgjVMALCBOAxxAorEGogJsRJgAP4sBM6xAq4EaECQAAYAphAvAwRieswwgF3IQwAXgcgcJahAq4AWECAIHCBggVcDLCBADYCKECTkSYACCJ0Qm7IVTASQgTAAIIFPZDqIATECYAAIApSVY3AABQupNHJxhBgt0wMgEADsNuD9gNIxM2wpYH7KBw2WOFZW+F3w+1AnbAyIRNcdAVgHBQJ2AHhAmbo1AAKE3hxgf1AlYhTDhA18rZVjcBHsTwuTMRKGAFwgQAADCFMOEgXStns9UBoFTs8kC8ESYciCIBIBzUCsQLYcKh2PIAEA5qBeKBMOFwFAkA4SBUIJYIEy5AgQAQLuoFYoEw4RKcZw4gXJxujmgjTLgQgQJAOAgViBbCBAAAMIUw4VKMTgAIB7UC0cBdQ12sfUJPLokMFMHM78KNK1/uQAqzCBMuR6CA10V7+S/u9dwQMqgXKCvChAew1QEvivfyfvL7OTlYEChQFoQJD6FIwAvssIyf2ganhQtqBSLFAZge47SiBoQrp2CObVeAhW2za/uKQq1AJAgTAADAFHZzeBBDmAiHE7ZMnbgcO+nYCmoFwsXIhEfZvYgBpXHDSs4Juz64TD/CQZjwMAoEnMruK+BIOSVUAMUhTHgcBQJOY/eVrhl2P1CTeoHiECbAMCaC2Hl5sOtKNhbsGirsumzAWhEfgJmfn6///Oc/2rx5s3Jzc5WZmakLLrhADRo0iEX7EEccbAW78vJymVMwx3YrcGoFThV2mPj000/1/PPPa/78+fL7/crIyFBaWpp+++035efnq2HDhrrtttt0xx13qGLFirFsMwAAsJGwdnN06dJFN954o+rXr68PP/xQhw4d0t69e/Xrr78qNzdXP/30kx5++GEtXrxYZ511lnJycmLdbsSI3baAALaA7bvLAygU1shE586dNXfuXCUnJxf5eMOGDdWwYUNlZ2fr+++/1/bt26PaSADexAo0WGF/2CH0s6sDJwtrZOL2228vNkicqlmzZmrbtq2pRnmVXbY+7FCoYA07ffd2+C3YlV36xk7LC6xl6myOw4cP6+DBg0H/YJ4dCgVFAlayw2/A7uy08UG9QMRhYuPGjercubPKly+vjIwMValSRVWqVFHlypVVpUqVWLTRk+xSJIB4s8Oy7yR26S/qhbdFfGrozTffLMMwNHXqVFWvXl0+ny8W7YLscUpY4fvbpWAhdqxe1lB2dqgV8LaIw8RXX32lNWvWqEmTJrFoD06RUzBHncr3troZQFzM2z/d6iY4lh0OzuSgTO+KeDdHy5YttWXLlli0BQAAOFDEYWLKlCl68sknNX36dK1Zs0Zff/110D9Enx221hhCdTerv187LONuYfXIgNXLEqwR8W6O3bt3a8OGDerfv39gms/nk2EY8vl8On78eFQbCPtgCBOxkFMwR36/3+pmuIrVx1BQK7wn4jAxYMAAXXDBBXrzzTc5ADPO5u2fruTkZIoEoootSXeyOlDAWyIOE5s3b9Y//vEPNW7cOBbtQRgoEnALgmlsWVkr2PDwloiPmbj66qv11VdfxaItiICVP1KCjHtY+V2yookPq2sF9cIbIh6Z+OMf/6h7771X33zzjc4999yQy2x36dIlao1DydjqABAORjMRaxGHiTvuuEOSNGbMmJDHOAATAADviXg3R0FBQbH/CBLxx+gAysLq4WeW2/iz8l4ejIq4n6kbfcEeKBBwEoKEN1Ev3C3i3RyStGrVKi1ZskS7du1SQUFB0GPPPvtsVBoGZ+DeHc5DUfc2LtGPWIh4ZOLxxx9Xq1atNG3aNK1evVpr164N/Pvyyy9j0MRgEyZMUP369ZWamqpWrVpp5cqVMX9PJ7DL7YiB4rCM2odVVxwlyLpXxCMTzz//vKZOnap+/frFoDklmz17tu677z5NmjRJrVq10vjx49WhQwf9+OOPOv300+PeHjuy6qhtzu5wBquKOcsGClEr3CnikYmEhARdfvnlsWhLqZ599lndeuut6t+/v5o1a6ZJkyYpPT1dU6dOtaQ9CMZWBwB4U8QjE/fee68mTJig8ePHx6A5xTt69KjWrFmjBx98MDAtISFB7dq104oVK4p8Tn5+vvLz8wN/Hzx4UJKUlJasZF9ykc+xUnH3JyicHu79C5LTrPtsbrjHQqT97SRWLRul9aWb+9yOCvs5Oa1Mh81F7f29Itzl28raXSxDUl7ps/kMwzAied2CggJ17txZ//3vf9WsWbOQi1a9++67kbxc2LZt26YzzjhDn332mS699NLA9GHDhmnp0qX6z3/+E/KcUaNGafTo0SHTZ82apfT09Ji0EwAAt8jNzVXv3r114MABVapUqdj5Io6ld911l5YsWaI2bdqoWrVqtr7R14MPPqj77rsv8PfBgwdVp04dTR34ri1HJoo7KMrv9ysnJ0ft27cPCW8l6Vo5O1pNi4jTbydd1v62M7svC27sczs7tb+tWj4k59eLcIS7fFv5PRTHb4Q3ihRxmJg+fbrmzp2rzp07R9woM0477TQlJiZq586dQdN37typGjVqFPmclJQUpaSkhEw/lueXbJiBSiuiycnJERVaf541Q4mdUnq74gCrSPvbrqw8liXS/nNLnztFYX9bVSsK2+AVpS3fVn4PxTkWZpiI+ADMqlWrqlGjRhE3yKxy5crpwgsv1OLFiwPTCgoKtHjx4qDdHvgfN6zQ4Vwsf87B1TFhVsRhYtSoURo5cqRyc3Nj0Z4S3XfffXr11Vc1ffp0/fDDD7rzzjt15MgR9e/fP+5tQckoEPbAqaBwAuqF80W8m+OFF17Qhg0bVL16ddWvXz9kyOaLL76IWuNOdeONN2r37t165JFHtGPHDrVo0UILFy5U9erVY/aeTmf1nUUL24D4ojijLLi7KMoq4jDRrVu3GDQjfEOGDNGQIUMsbYPTFK7MKRLewA284ERczMrZIg4TI0eOjEU7AACAQ4V1zESEl6IAgjAi4g1sVbqDld8jtcK5wgoTzZs311tvvaWjR4+WON9PP/2kO++8U2PHjo1K4xBdFAn3o58BWCGs3Rwvvviihg8frkGDBql9+/a66KKLVKtWLaWmpmrfvn36/vvvtXz5cn333XcaMmSI7rzzzli3G8ApOFYC0WL1gdssT84TVpho27atVq9ereXLl2v27NmaOXOmNm/erLy8PJ122mm64IIL1LdvX/Xp00dVqlSJdZvhUBSJ2CFIwE2oFc4T0QGYV1xxha644opYtQVxYPWpXxSJ6CNIIBbsUCsK2wH7s+aWcQBM4/gIAHYR8RUwAQAATkaY8CCrhw3ZojbPDn1o9XKE2LPDd2yHZR2lCztMbNu2LZbtgMe0T+hJkSgDu/SbHVYy8A47LPMoWdhhonnz5po1a1Ys2wIPokiEzw59ZeXdJeFtdlj+Ubyww8Rjjz2m22+/XT179tRvv/0WyzYhDuy0QqBIlI4+glUIkAhH2GFi0KBB+vrrr7V37141a9ZM8+fPj2W7AMg+uzUkewVQeJNdfgsIFdGpoQ0aNNDHH3+sl156Sddff73OPvtsJSUFv0Qsb0EO9+L6E8HsVjT5bmAX1Ap7ivg6E5s3b9a7776rKlWqqGvXriFhAs5h9UVpTkWROMFO34lEkMAJdqoXXNDKfiJKAq+++qruv/9+tWvXTt99950yMzNj1S4AAOAQYYeJjh07auXKlXrppZfUt2/fWLYJHubl0Qm7bPWdzKvfBZzBy/XCbsI+APP48eP6+uuvCRKIOTuuVGPNjp+ZIg0nsONvx4vCHpnIycmJZTtgETvtBz2ZF/aJ2rHfASdihMJ6XE4btmanUyOjxe6fiesKoDh2Xi7s/JvyAsIEHMENhcLuIUKy98oCKI0TfmNuxXmdcAynDWU6rag5qW+BkjhtN6nTakVRGJkAAACmMDIBRzk5wdt1q8OJWxl27UvADLuPUDixVhSHMAHHskuhcHpBsLr/gFizS62QnF8vikOYQOAH5tSFPN6jFU7tp6LYobgC8XLqbzfWy3/h+yWnJev2WTeqa+XsmL6flQgTcJWiVvRlLRhdK2fLn+c32yTbIUAAJ0QrXLhpA6OsCBNwvUh/6IVbEW5EkIBZdr3QXTS49XPFA2dzAB5BkAAQK4QJAABgCmEC8ABGJQDEEmECcDmCBIBY4wBMwIUIEADiiZEJwGUIEoglznhAUQgTgIsQJABYgd0cYEvDBQgRAKzEyATgcAQJAFYjTAAAAFPYzQE4EKMRAOyEkQnAYQgSAOyGkQmP4+BL5yBEwGrUCxSHkQnAAQgSAOyMkQnApggQsBNGJVASwoSHURzsiRABwGnYzQEAAExhZAKwEUYlYDeMYCIchAmPokDYCyECgJMRJjyIIGEPBAjYHbUC4eKYCcACBAnYHUECkWBkwmMoENYiRABwI8KEhxAkrEGAgNNQKxApdnMAAABTGJnwALYyrMGIBJyIehF/hbXCyX1PmHA5Jy+cTkWIgFNRL+LLTbWCMOFiFIb4c1NxgHdQK+LPbbWCMOFSFIf4cVtRgHd0rZwtf57f6mZ4ilvrBWHCZQgR8ePWogAguubtn64FCxZo3v7pVjclZjibwyXaJ/QkSMQRQQJO1rVyttVN8Ayv1ApGJhyOABFfXikMcJ+Ta0VyWrKFLfEGr9UKRiYAAIApjEw4GKMS8eO1rQy4C7UivrxYLwgTDkRhiB8vFgW4B7UifrxeKwgTDsJpXPHl5iOv4X4EifjxepCQOGbCETjyGkC4OLMrvggSJzAyYWOFBYEjr+Or8JxwwCkID9YgSPwPYcKmKA7xV1gY/H52JcEZqBPWIESEYjcHAAAwhZEJG2ErwzpsacBpqBfxR50oHmECnkeBgFMQIGBXhAl4GkECTkCIsB61omSECXgWxQF2R4iwB2pF6TgAE55EcYDdESTsgVoRHkYmAMAmCBBwKkYmAACAKYxMwFMYsoQdMSJhT9SL8DEyAQAWIkjADRiZgGewlQE7IUTYG/UiMoQJAIgTAgTcit0cABAHBAnnYFQicoxMwBMoDrAKIQJewMgEAMQIQQJe4YgwsWnTJg0cOFANGjRQWlqaGjVqpJEjR+ro0aNWNw0AAM9zxG6OdevWqaCgQJMnT1bjxo317bff6tZbb9WRI0c0btw4q5sHAAGMRsCLHBEmOnbsqI4dOwb+btiwoX788UdNnDiRMAHANggS8CpHhImiHDhwQFWrVi1xnvz8fOXn5wf+PnjwoCQpKS1Zyb7kmLYvmpLTkoL+i8j5/f6I543kOTDH6X3etXK2JCk5zRl1hZpStHn7p0uK/nIY7vJty+XHkJRX+mw+wzCMmDcmytavX68LL7xQ48aN06233lrsfKNGjdLo0aNDps+aNUvp6emxbCIAAI6Xm5ur3r1768CBA6pUqVKx81kaJkaMGKEnn3yyxHl++OEHNW3aNPD31q1b1bp1a2VlZWnKlCklPreokYk6deqoXVoPx41MDPh7d00dOFf+vGNWN8dxCrc2wuX3+5WTk6P27dsrOdk5y4mTObHPC0cjnIiaUrRIa0W4wl2+7bhM+Q2/Psp7p9QwYekY1/33369+/fqVOE/Dhg0D/79t2za1adNGl112mV555ZVSXz8lJUUpKSkh04/l+SVfxM21nD/vmPx5zhwGtlJZV07JycmOWbG5hVP63C3HRlBTgsV62Stt+bbjd3HMCK9NloaJzMxMZWZmhjXv1q1b1aZNG1144YWaNm2aEhIccVYrAACu54ijb7Zu3aqsrCzVq1dP48aN0+7duwOP1ahRw8KWAfASt4xIANHmiDCRk5Oj9evXa/369apdu3bQYw48fhSAAxEkgOI5Ikz069ev1GMrULyi7ktBYQTC56Xfy6n1wkufHWXniDCBkpXlJlalPcdNBaR9Qk9u9IUyc9NvQTrx2/f7/VqwYIHm7Z9e6kGHXqoVKDvChAPFY8XI1gm8zg3LPLUiMoVtZ+MjcoQJB5i3f3rYWxGxUvjjcnKhAMLlxOXcLitAaoU3cX4lAAAwhZEJmzp5K8NO9ytgqwNu57Rl2y4jEqc6uV1O61NEjjBhI3YtCkUhVMCNnLI8O6lWSNQLLyBMwBSKBNzC7suw0wJEUXIK5ti+n1E2HDOBqLB7oaOAoSR2Xj5yCubY/vcVCTd9FvwPYQJRQ5GA07RP6GnbIOG2EHEyu38uuy4TdsZuDkQVuz3gFHZcRu2+ko0maoW7MDKBmPBSUYTz2HEF5tXfjFc/t9sQJgAAgCmECcSM3fb52nFrFPFnt+XAbr8TK3j987sBYQKAZ9gxSOAEu/WF3ZYVuyNMIObsViQAO+B3EYo+cS7CBOLCLkXCzqcCIrbs8L0X7tKwy+/BjugbZyJMIG4oErCCXQIky3/47NJXdlhunIIwgbiyS5GAN9hlZcByHzlGcJyFMAEAAEwhTMCT7LLFCvdj6xpeQJhA3FFcEQ92CIws6+ZZ3Yd2WI6cgDABS7A/FLFk9QqA5Tu66Ev7I0zAUlYWCatXOIgNq79XVnzuY/Uy5QSECQCIEoJE7NC39kaYgOUYnUC0WPl9srKLPWqFfREmAACAKYQJ2AJbdTCLUQnAOoQJeB7DlzCDIBFfVu/qoF4ULcnqBgCFcgrm8ENFxKxaZggR1inse+qFfTAyAVuxqkBTlJyJ7w1WYLkLRZgA/g9DmAgXoxL2wPdgH4QJ2A4FAuFg9wYkRjPtgjABW7LycsRdK2db8r4IH0ECdkCg+B/CBAAAMIUwAQBwNEaMrEeYgK1RJHAqdnGgKBw7YS3CBGyPYydQiCABOyJQECaAElEkAOcg9FmHMAFHoEh4m5XXAGHZcxYrd3d4eeODMAHHYJ+oN9H/cBKvLq+ECQAAYAphAgiD14cwvcjKC6fBHKu/Oy/WCsIEHMXq4u7FImEl+htmECjihzABx2Grwxus7GerQyvgNIQJAIBrseERH4QJOBZFwr0YlUA0UStijzABR6NIuA/9iliwslZ44Wq6hAkAAGAKYQKOx+iEe1i9BccuDsSS1ct3LBEmAJMKr0FBsADszQ5h0a11gjABV7BDkZDcWyhizc1bbLAXq08tl9xZJwgTcA2rC0QhNxaKWLJLf9ll+UF8WP19u200kzABV7HDVodknxWk3dFP8Dq3/AYIE0CMuKVIAG5lhw0PyR2jFIQJuJLdioTTC0Us2KlP7LK8IP747qODMAEAAEwhTMC17LbFYactcavRF7ATu9UKJyJMwNXsViTY5UGQgD3ZrVY4DWECrmfHIuHFFaodg5Rdzv6BPbA8lB1hAp5gxwLhpYMzvfAZAS8jTMAz7BgoCrk5VLj1c8G97Fwr7IowAU+x+zCmm0KFmz4LvMfOdcKOCBMAAMAUwgRgQ07fqndy24FCjE6EL8nqBgBWyCmY44gV3qlttHNxc0J/nszOfQn7cEqtsBojE/Asux8/URQ7jljYsU1ANDmtTliBkQl4nhO3PIpqb7wLntP6DDDDiXUinggTgNxRKGIdMJzeP4BZhb8nfguhCBPA/yksFJ3K97a4JdFD0QOij1ARimMmgFPM2z/d6iYAcACOpfgfwgQAADCFMAEAQBkxOnECYQIoBrs7AISDQEGYAErkxGtRAIg/r9cKwgQQBq8XCgDh8WqtIEwAEfBikQAQOa/VCsIEECGvbnkAiIyX6gRhAgAAmEKYAMrIS1sdAMomp2COJ84MI0wAJrDLA0C43BwqCBNAFBAqnIf7KsAKbq0VjgsT+fn5atGihXw+n7788kurmwMEcWuhABBdbqsTjgsTw4YNU61ataxuBlAitxUKANHnpo0PR4WJf/3rX/rwww81btw4q5sClMpNhcKt2if0ZHcHLOeGWpFkdQPCtXPnTt166616//33lZ6ebnVzAADA/3FEmDAMQ/369dMdd9yhiy66SJs2bQrrefn5+crPzw/8ffDgQUlSUlqykn3JsWiqKX6/v8TpxT2O6Ip2fy/InyVJ6lo5Oyqv50bJaUlB/403r/22qCnxFW5/J6fZb70kQ1Je6bP5DMMwYt6YYowYMUJPPvlkifP88MMP+vDDD/X2229r6dKlSkxM1KZNm9SgQQOtXbtWLVq0KPa5o0aN0ujRo0Omz5o1i9ENAABKkZubq969e+vAgQOqVKlSsfNZGiZ2796tvXv3ljhPw4YNdcMNN2j+/Pny+XyB6cePH1diYqL69Omj6dOLPne3qJGJOnXqqF1aD1uOTBR3DrLf71dOTo7at2+v5GT7tdtt4tXfjFT8T3Jakgb8vbumDpwrf94xS9rg5msAnIqaEl/h9rcda4Lf8OujvHdKDROW7ubIzMxUZmZmqfO98MILevTRRwN/b9u2TR06dNDs2bPVqlWrYp+XkpKilJSUkOnH8vySr4gnWKy0H3VycjI//DiKdX8vODIr8P8cBHiCP++Y/HnWDL13Sunt+IPgIkVNia/S+tuqZb8kx4zw2uSIYybq1q0b9HeFChUkSY0aNVLt2rWtaBIQVTkFcwgUNtA+oafnAgUQDY46NRRwMzecHgbAmxwZJurXry/DMEo8+BJwKkKFtRghAiLnyDABAADswxHHTHhFcVtEyWnJun3WjepaOduWB+i4Df0Nt49OsIzHlxf6m5EJAABgCmECAACYQpgAAACmECYAAIAphAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKYQJAABgCmECAACYQpgAAACmECYAAIAphAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKYQJAABgCmECAACYQpgAAACmECYAAIAphAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKYQJAABgSpLVDYgnwzAkScfklwyLGxMJQ8rNzZXf8OuY4be6Ne5Hf8cffR5f9Hd8Obi/j+lEewvXn8XxGaXN4SK//vqr6tSpY3UzAABwlC1btqh27drFPu6pMFFQUKBt27apYsWK8vl8VjcnbAcPHlSdOnW0ZcsWVapUyermuB79HX/0eXzR3/Hl5P42DEOHDh1SrVq1lJBQ/JERntrNkZCQUGKysrtKlSo5bkF0Mvo7/ujz+KK/48up/Z2RkVHqPByACQAATCFMAAAAUwgTDpCSkqKRI0cqJSXF6qZ4Av0df/R5fNHf8eWF/vbUAZgAACD6GJkAAACmECYAAIAphAkAAGAKYQIAAJhCmHCo/Px8tWjRQj6fT19++aXVzXGtTZs2aeDAgWrQoIHS0tLUqFEjjRw5UkePHrW6aa4xYcIE1a9fX6mpqWrVqpVWrlxpdZNc64knnlDLli1VsWJFnX766erWrZt+/PFHq5vlGWPHjpXP59M999xjdVOijjDhUMOGDVOtWrWsbobrrVu3TgUFBZo8ebK+++47Pffcc5o0aZL+8pe/WN00V5g9e7buu+8+jRw5Ul988YXOP/98dejQQbt27bK6aa60dOlSDR48WJ9//rlycnLk9/t1zTXX6MiRI1Y3zfVWrVqlyZMn67zzzrO6KbFhwHEWLFhgNG3a1Pjuu+8MScbatWutbpKnPPXUU0aDBg2sboYrXHzxxcbgwYMDfx8/ftyoVauW8cQTT1jYKu/YtWuXIclYunSp1U1xtUOHDhlnnnmmkZOTY7Ru3dq4++67rW5S1DEy4TA7d+7UrbfeqhkzZig9Pd3q5njSgQMHVLVqVaub4XhHjx7VmjVr1K5du8C0hIQEtWvXTitWrLCwZd5x4MABSWJ5jrHBgwerc+fOQcu623jqRl9OZxiG+vXrpzvuuEMXXXSRNm3aZHWTPGf9+vV68cUXNW7cOKub4nh79uzR8ePHVb169aDp1atX17p16yxqlXcUFBTonnvu0eWXX65zzjnH6ua41ltvvaUvvvhCq1atsropMcXIhA2MGDFCPp+vxH/r1q3Tiy++qEOHDunBBx+0usmOF26fn2zr1q3q2LGjevbsqVtvvdWilgPRMXjwYH377bd66623rG6Ka23ZskV33323Zs6cqdTUVKubE1NcTtsGdu/erb1795Y4T8OGDXXDDTdo/vz58vl8genHjx9XYmKi+vTpo+nTp8e6qa4Rbp+XK1dOkrRt2zZlZWXpkksu0WuvvaaEBHK4WUePHlV6erreeecddevWLTA9Oztb+/fv17x586xrnMsNGTJE8+bN07Jly9SgQQOrm+Na77//vq677jolJiYGph0/flw+n08JCQnKz88PeszJCBMO8ssvv+jgwYOBv7dt26YOHTronXfeUatWrVS7dm0LW+deW7duVZs2bXThhRfqjTfecM2P3w5atWqliy++WC+++KKkE0PvdevW1ZAhQzRixAiLW+c+hmFo6NCheu+99/TJJ5/ozDPPtLpJrnbo0CFt3rw5aFr//v3VtGlTDR8+3FW7lzhmwkHq1q0b9HeFChUkSY0aNSJIxMjWrVuVlZWlevXqady4cdq9e3fgsRo1aljYMne47777lJ2drYsuukgXX3yxxo8fryNHjqh///5WN82VBg8erFmzZmnevHmqWLGiduzYIUnKyMhQWlqaxa1zn4oVK4YEhvLly6tatWquChISYQIoUU5OjtavX6/169eHBDYG9cy78cYbtXv3bj3yyCPasWOHWrRooYULF4YclInomDhxoiQpKysraPq0adPUr1+/+DcIrsFuDgAAYApHkQEAAFMIEwAAwBTCBAAAMIUwAQAATCFMAAAAUwgTAADAFMIEAAAwhTABAABMIUwAiKkff/xRNWrU0KFDh+L+3gsXLlSLFi1UUFAQ9/cGvIQwAaBEx48f12WXXabrr78+aPqBAwdUp04dPfTQQyU+/8EHH9TQoUNVsWLFWDazSB07dlRycrJmzpwZ9/cGvITLaQMo1X//+1+1aNFCr776qvr06SNJ6tu3r7766iutWrUqcKv2U/3yyy9q3LixNm7cqDPOOCOeTQ6YMGGCXnvtNa1atcqS9we8gJEJAKU666yzNHbsWA0dOlTbt2/XvHnz9NZbb+n1118vNkhI0ttvv63zzz8/KEi89tprqly5sj744AM1adJE6enp6tGjh3JzczV9+nTVr19fVapU0V133aXjx48Hnle/fn09+uij6tu3rypUqKB69erpH//4h3bv3q2uXbuqQoUKOu+887R69eqgNvzxj3/U6tWrtWHDhuh3DABJhAkAYRo6dKjOP/983XLLLbrtttv0yCOP6Pzzzy/xOf/+97910UUXhUzPzc3VCy+8oLfeeksLFy7UJ598ouuuu04LFizQggULNGPGDE2ePFnvvPNO0POee+45XX755Vq7dq06d+6sW265RX379tXNN9+sL774Qo0aNVLfvn2D7uhat25dVa9eXf/+97+j0xEAQnALcgBh8fl8mjhxos4++2yde+65GjFiRKnP2bx5c5Fhwu/3a+LEiWrUqJEkqUePHpoxY4Z27typChUqqFmzZmrTpo2WLFmiG2+8MfC8Tp066fbbb5ckPfLII5o4caJatmypnj17SpKGDx+uSy+9VDt37lSNGjUCz6tVq5Y2b95s6vMDKB4jEwDCNnXqVKWnp2vjxo369ddfS50/Ly9PqampIdPT09MDQUKSqlevrvr166tChQpB03bt2hX0vPPOOy/ocUk699xzQ6ad+ry0tDTl5uaW2l4AZUOYABCWzz77TM8995w++OADXXzxxRo4cKBKO377tNNO0759+0KmJycnB/3t8/mKnHbqKZ0nz+Pz+YqddurzfvvtN2VmZpbYVgBlR5gAUKrc3Fz169dPd955p9q0aaO///3vWrlypSZNmlTi8y644AJ9//33cWpl0X7//Xdt2LBBF1xwgaXtANyMMAGgVA8++KAMw9DYsWMlnTizYty4cRo2bJg2bdpU7PM6dOigFStWBJ2VEW+ff/65UlJSdOmll1rWBsDtCBMASrR06VJNmDBB06ZNU3p6emD67bffrssuu6zE3R1/+MMflJSUpI8++ihezQ3x5ptvqk+fPkFtBxBdXLQKQExNmDBB//jHP7Ro0aK4v/eePXvUpEkTrV69Wg0aNIj7+wNewamhAGLq9ttv1/79+3Xo0KG4X1J706ZNevnllwkSQIwxMgEAAEzhmAkAAGAKYQIAAJhCmAAAAKYQJgAAgCmECQAAYAphAgAAmEKYAAAAphAmAACAKYQJAABgyv8Hs0wZabIo3TkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== Gyroid Infill 15.2% ===\n",
      "Total Area (approx)    = 54.1982 mm²\n",
      "Shell Area (approx)    = 31.2661 mm²\n",
      "Infill Area (approx)   = 22.9320 mm²\n",
      "Centroid (x_c, y_c)    = (0.0174, -0.0001)\n",
      "I_x (about centroid)   = 575.6136\n",
      "I_y (about centroid)   = 574.8561\n",
      "I_xy (product)         = 0.1255\n",
      "Polar moment, J        = 1150.4696\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== Gyroid Infill 35.7% ===\n",
      "Total Area (approx)    = 51.5254 mm²\n",
      "Shell Area (approx)    = 31.2661 mm²\n",
      "Infill Area (approx)   = 20.2593 mm²\n",
      "Centroid (x_c, y_c)    = (-0.0067, -0.0459)\n",
      "I_x (about centroid)   = 554.8102\n",
      "I_y (about centroid)   = 550.3740\n",
      "I_xy (product)         = -3.2256\n",
      "Polar moment, J        = 1105.1842\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== Gyroid Infill 63.1% ===\n",
      "Total Area (approx)    = 53.5248 mm²\n",
      "Shell Area (approx)    = 31.2661 mm²\n",
      "Infill Area (approx)   = 22.2587 mm²\n",
      "Centroid (x_c, y_c)    = (0.0024, 0.0276)\n",
      "I_x (about centroid)   = 567.0206\n",
      "I_y (about centroid)   = 579.3010\n",
      "I_xy (product)         = -1.8171\n",
      "Polar moment, J        = 1146.3216\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== Gyroid Infill 100.0% ===\n",
      "Total Area (approx)    = 47.2145 mm²\n",
      "Shell Area (approx)    = 31.2661 mm²\n",
      "Infill Area (approx)   = 15.9484 mm²\n",
      "Centroid (x_c, y_c)    = (-0.0006, 0.0005)\n",
      "I_x (about centroid)   = 534.3228\n",
      "I_y (about centroid)   = 535.7847\n",
      "I_xy (product)         = -0.0399\n",
      "Polar moment, J        = 1070.1076\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def compute_area_moments(XX, YY, mask):\n",
    "    dx = XX[0, 1] - XX[0, 0]\n",
    "    dy = YY[1, 0] - YY[0, 0]\n",
    "    dA = dx * dy\n",
    "\n",
    "    A = np.count_nonzero(mask) * dA\n",
    "    if A == 0:\n",
    "        return A, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0\n",
    "\n",
    "    x_vals = XX[mask]\n",
    "    y_vals = YY[mask]\n",
    "    x_c = np.sum(x_vals * dA) / A\n",
    "    y_c = np.sum(y_vals * dA) / A\n",
    "    x_shift = x_vals - x_c\n",
    "    y_shift = y_vals - y_c\n",
    "\n",
    "    I_x = np.sum((y_shift**2) * dA)\n",
    "    I_y = np.sum((x_shift**2) * dA)\n",
    "    I_xy = np.sum((x_shift * y_shift) * dA)\n",
    "    J = I_x + I_y\n",
    "\n",
    "    return A, x_c, y_c, I_x, I_y, I_xy, J\n",
    "\n",
    "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n",
    "    A_total = width ** 2\n",
    "    shell_thickness = 2 * layer_width * shell_layers\n",
    "    A_shell = A_total - (width - shell_thickness) ** 2\n",
    "    r = (A_total / A_shell) ** (1 / (steps - 1))\n",
    "    return [(A_shell * r**i - A_shell) / (A_total - A_shell) for i in range(steps)]\n",
    "\n",
    "def gyroid_infill_rectangular_with_shell(\n",
    "    width,\n",
    "    height,\n",
    "    infill_fraction,  # Now passed as 0.0 to 1.0\n",
    "    z_height=0.0,\n",
    "    line_thickness=0.1,\n",
    "    shell_layers=3,\n",
    "    layer_width=0.4,\n",
    "    plot=True\n",
    "):\n",
    "    base_frequency = 1.0\n",
    "    max_multiplier = 5.0\n",
    "    #scale_factor = base_frequency + (max_multiplier - 1.0) * infill_fraction\n",
    "    scale_factor = base_frequency / np.sqrt(1.0 - 0.999 * infill_fraction)\n",
    "\n",
    "\n",
    "    N = 400\n",
    "    xs = np.linspace(-width / 2, width / 2, N)\n",
    "    ys = np.linspace(-height / 2, height / 2, N)\n",
    "    XX, YY = np.meshgrid(xs, ys)\n",
    "\n",
    "    x_s = scale_factor * XX\n",
    "    y_s = scale_factor * YY\n",
    "    z_s = scale_factor * z_height\n",
    "\n",
    "    f_vals = (np.sin(x_s) * np.cos(y_s)\n",
    "              + np.sin(y_s) * np.cos(z_s)\n",
    "              + np.sin(z_s) * np.cos(x_s))\n",
    "\n",
    "    if infill_fraction >= 1.0:\n",
    "        line_mask = np.ones_like(f_vals, dtype=bool)\n",
    "    else:\n",
    "        line_mask = np.abs(f_vals) < line_thickness\n",
    "\n",
    "    shell_thickness = shell_layers * layer_width\n",
    "    inner_w = width / 2 - shell_thickness\n",
    "    inner_h = height / 2 - shell_thickness\n",
    "\n",
    "    shell_mask = (\n",
    "        (np.abs(XX) >= inner_w) |\n",
    "        (np.abs(YY) >= inner_h)\n",
    "    )\n",
    "\n",
    "    inner_mask = (\n",
    "        (np.abs(XX) < inner_w) &\n",
    "        (np.abs(YY) < inner_h)\n",
    "    )\n",
    "\n",
    "    gyroid_mask = line_mask & inner_mask\n",
    "    final_mask = shell_mask | gyroid_mask\n",
    "\n",
    "    A_total, x_c, y_c, I_x, I_y, I_xy, J = compute_area_moments(XX, YY, final_mask)\n",
    "    A_shell, *_ = compute_area_moments(XX, YY, shell_mask)\n",
    "\n",
    "    if plot:\n",
    "        plt.figure(figsize=(6, 6))\n",
    "        pattern_img = np.where(final_mask, 1.0, np.nan)\n",
    "        plt.imshow(\n",
    "            pattern_img,\n",
    "            origin='lower',\n",
    "            extent=[-width / 2, width / 2, -height / 2, height / 2],\n",
    "            interpolation='none'\n",
    "        )\n",
    "        plt.title(\n",
    "            f\"Gyroid Infill @ {infill_fraction*100:.1f}%\\nShells={shell_layers}×{layer_width}mm\"\n",
    "        )\n",
    "        plt.xlabel(\"X (mm)\")\n",
    "        plt.ylabel(\"Y (mm)\")\n",
    "        plt.gca().set_aspect('equal', 'box')\n",
    "        plt.grid(True)\n",
    "        plt.show()\n",
    "\n",
    "    print(f\"=== Gyroid Infill {infill_fraction*100:.1f}% ===\")\n",
    "    print(f\"Total Area (approx)    = {A_total:.4f} mm²\")\n",
    "    print(f\"Shell Area (approx)    = {A_shell:.4f} mm²\")\n",
    "    print(f\"Infill Area (approx)   = {A_total - A_shell:.4f} mm²\")\n",
    "    print(f\"Centroid (x_c, y_c)    = ({x_c:.4f}, {y_c:.4f})\")\n",
    "    print(f\"I_x (about centroid)   = {I_x:.4f}\")\n",
    "    print(f\"I_y (about centroid)   = {I_y:.4f}\")\n",
    "    print(f\"I_xy (product)         = {I_xy:.4f}\")\n",
    "    print(f\"Polar moment, J        = {J:.4f}\")\n",
    "    print()\n",
    "\n",
    "    return final_mask\n",
    "\n",
    "# Run the 5-step gyroid fill pattern demo\n",
    "if __name__ == \"__main__\":\n",
    "    width = 10\n",
    "    shell_layers = 2\n",
    "    layer_width = 0.42\n",
    "    line_thickness = 0.42\n",
    "    z_height = 8\n",
    "\n",
    "    fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=5)\n",
    "\n",
    "    for f in fractions:\n",
    "        gyroid_infill_rectangular_with_shell(\n",
    "            width=width,\n",
    "            height=width,\n",
    "            infill_fraction=f,\n",
    "            z_height=z_height,\n",
    "            line_thickness=line_thickness,\n",
    "            shell_layers=shell_layers,\n",
    "            layer_width=layer_width,\n",
    "            plot=True\n",
    "        )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "930e3d34-6f51-461c-86fb-c0c9f5f4ef29",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "da593f73-5609-43ec-8ca2-d877d41eb25d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 0.0% ====\n",
      "Total Area            = 37.9771\n",
      "Shell Area            = 31.2661\n",
      "Infill Area           = 6.7110\n",
      "Centroid (x_c, y_c)   = (-0.0000, -0.0000)\n",
      "I_x                   = 479.1911\n",
      "I_y                   = 479.1911\n",
      "I_xy                  = -36.7507\n",
      "Polar moment J        = 958.3821\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 15.2% ====\n",
      "Total Area            = 50.8634\n",
      "Shell Area            = 31.2661\n",
      "Infill Area           = 19.5972\n",
      "Centroid (x_c, y_c)   = (0.0506, 0.0506)\n",
      "I_x                   = 535.5728\n",
      "I_y                   = 535.5728\n",
      "I_xy                  = -21.0498\n",
      "Polar moment J        = 1071.1456\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 35.7% ====\n",
      "Total Area            = 65.4443\n",
      "Shell Area            = 31.2661\n",
      "Infill Area           = 34.1782\n",
      "Centroid (x_c, y_c)   = (-0.0094, -0.0094)\n",
      "I_x                   = 649.8502\n",
      "I_y                   = 649.8502\n",
      "I_xy                  = -6.8127\n",
      "Polar moment J        = 1299.7004\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 63.1% ====\n",
      "Total Area            = 75.2508\n",
      "Shell Area            = 31.2661\n",
      "Infill Area           = 43.9846\n",
      "Centroid (x_c, y_c)   = (-0.0000, -0.0000)\n",
      "I_x                   = 732.3665\n",
      "I_y                   = 732.3665\n",
      "I_xy                  = -5.2029\n",
      "Polar moment J        = 1464.7331\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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35xt/SSQnJ6Ny5coAgBs3buDevXto3rx57uM2Njbw8/PL85yLFy/C3d29VOL7+PgAAK5evZrvzfvq1au557LkzHv16tV8y8iZlvN3FBWnoOe7ubkV+O0fePh6GjFiBMaPH48qVaogIiICrVq1ym1iBg0ahA0bNhS7qalUqRIOHz6M7du3Y+vWrdi6dStWr16Nfv36Ye3atXnmLer1knN+xfr16+Ht7Z1vvkf3FJgiKyvL5MbVzc0t93L4HGlpaejatStSU1Oxe/fuJ9YGAKKiorBu3Tp07NgRP/30E0JDQ/Nczp+jqDoWFWfs2LHw9/eHnZ1d7heZnPvOXLx4Effv38+3jCNHjuDNN99EgwYN8OWXXxa6LgurkanbekmfT2WLh5/ILK+//jrOnj2L33//vch5c76tPn4zrJxd8gXJ+Uab48yZM8jOzs53h95H1alTp9jf7NTCxcUFaWlpAAB3d3fY2tri7NmzeeZ5dDf31q1bcevWrTy7yUvC19cXAPLdMffKlSu4dOlS7uM58yYkJOQ7QfKPP/6AXq/HM888U2icKlWqwNPTs8A788bHx+eJ87ioqCjcvn07d4/WlStX8nzwVa5cOd+hBFPZ2dnhjTfewNKlS3NvOLlu3TqcOXOmWMupU6cOgIeNUocOHfL9tG3btljLu3jxInx8fEz62bt3b57n/vvvv3jjjTdw+vRpfP/996hfv/4TY33++ecYNmwYgoKC8OOPP2LevHlYtmxZgSekN2jQADY2NvnqeP/+fRw+fPiJdcz5u2JjY1GrVq3cnwULFgAA/Pz88Oqrr+aZ/+zZs+jSpQsqVaqELVu25B6mpfKHTQ2ZJSwsDBUqVMDAgQNx7dq1fI+fPXs2903IxcUFHh4e2LVrV555li5dWujylyxZkuf3nPNFunbtWuhzunXrhiNHjuDrr7/O95javy3Vq1cPf/zxB4CH3wjfeOMNjBkzBrt27cK5c+cQHh6OhIQE3L59G6tXr8Z7772HyZMnF/twRmGee+451K1bF8uXL8+zhy0qKgo6nQ7vvvtu7rR3330X165dw+bNm3On3bx5E5s2bcIbb7yRZ0/L2bNn8zVn3bp1w/fff4+LFy/mTtuxYwdOnz4Nf3//AvNLSUlBeHg4IiMjc8+98fLywsmTJ3Pn+euvvwrcO1KU5OTkPL9bWVmhUaNGAAo+vPIknTt3houLC2bOnFng1UjFPVxo7jk1WVlZ6NGjB37//Xds2rSpyOZ3y5Yt6NevH9555x1ER0cDAEaMGIEpU6Zg1qxZ+PTTT/PM7+rqig4dOuCzzz7Lc5h6/fr1uHPnTp463rt3DydPnsxzp+Cvv/4630+PHj0AAOvWrcO8efNy501KSkKnTp1gZWWF7du357kKi8ofHn4is9SpUwexsbHo0aMH6tWrl+eOwnv37sWmTZvyjFEzcOBAfPzxxxg4cCCaNWuGXbt2PfHS3nPnzuHNN99Ely5d8Pvvv+Ozzz5Dr169nniy49ixY/Hll1/C398fAwYMQNOmTZGSkoJvv/0Wy5Yte+JzLd3rr7+OVatWITQ0FDqdDvPmzUOnTp3Qpk0bAA9PDA4JCUF0dDR27dqF6dOnY/jw4UUu99ETjHMuUV68eDEqVqyIihUr5rkcOTIyEm+++SY6deqEnj174vjx41i8eDEGDhyIevXq5c737rvvomXLlggMDMSJEydy7yiclZWFadOm5Ynfvn17AMhzrtSHH36ITZs2oV27dhgxYgTu3LmDyMhINGzYsNBDR5MnT0bDhg3zfFh269YN06dPx5AhQ1CjRg1ER0dj7ty5uY//+uuvaNeuHcLDw/OMx/W4gQMHIiUlBa+88gqqVq2K8+fPY9GiRfD19c3zd5vCxcUFUVFR6Nu3L/z8/NCzZ094enriwoUL+OGHH9C6dWssXrzY5OWZe07NmDFj8O233+KNN95ASkoKPvvsszyP9+nTJ/f/2dnZGDVqFNq1a4cNGzbkOcwybdo03Lp1C+Hh4ejXr1+ehuKjjz5Cq1at0KZNG4SEhODSpUv49NNP0alTpzznI8XHx+erw9tvv50v55y7XXft2jXPpdpdunTB33//jbCwMPz222/47bffch/z8vJCx44di71+SMUkXnlFGnD69GkRHBwsatasKezs7ISzs7No3bq1WLRoUZ5LIe/duyeCgoKEq6urcHZ2Ft27dxfXr18v9JLuEydOiHfffVc4OzsLg8Eghg0bZtLN95KTk8WwYcNElSpVhJ2dnahataro37+/uHnz5hP/jifdfO9xj+esxCXdt27dEq6urnlu+GY0GsUff/whDh48KLKyssQ///wjjh49+sRLjx/3pEuCH89dCCG+/vpr4evrK+zt7UXVqlXFpEmTxP379/PNl5KSIoKCgoS7u7vQ6/WiTZs2Bd5tt0aNGgXGOX78uOjUqZPQ6/WiYsWKonfv3iIpKanAv+Ho0aPCzs5OHDp0KN9ja9asETVr1hTu7u5i9OjRedbNd999JwCIZcuWFb6ChBBffvml6NSpk6hUqZKws7MT1atXF4MGDRJXr17Nnaew18Avv/xS4GW9v/zyi+jcubNwdXUVDg4Ook6dOiIgIEAcOHAgd56yvPleQTeNfPTncadPnxZ3794tcFnZ2dl5brXwqN27d4tWrVoJBwcH4enpKUJDQ/PdZiBnHT26XRSksEu6n/R3tGnTJne+wrbpnPiP3gFbiIJrWtidxwGI0NDQPNOe9B5CZUcnhMr3yxOVE1988QV69+6NRYsWYfDgwQXOc+HCBVy6dKnMboqoJWFhYfjvf/+LM2fOFHryMRGpCw8/EalE9+7dkZaWhqFDh2LDhg0YOHAgmjdvDicnJ5w/fx7ffPMNoqOj0bVrVzY1Jvjll18wefJkNjREGsI9NUQqc+zYMUyePBnbtm3Lc6LqM888gzFjxmDgwIEWMXo5EZHS2NQQqdTdu3dx+vRp3LlzB1WrVkWtWrVkp0REJBWbGiIiItIE7qMmIiIiTWBTQ0RERJpQrq5+ys7OxpUrV+Ds7CxtLCEiIiIqHiEEbt++jcqVKz/xQohy1dRcuXIl32B8REREpA4XL15E1apVC328XDU1zs7OAB6ulNIaE6cgRqMRP/74Izp16gRbW9syi1Ncb7n2k51CHjaOthiw6h3EBG3Gg4z84+DQQ1xPpuF6Mg3XU9EseR19k7ZOdgq5lPysS09PR7Vq1XI/xwtTrpqanENOLi4uZd7U6PV6uLi4WFRTY6OznFwAwFZnC71eD1udLcCjgYXiejIN15NpuJ6KZsnrqCw/u4pLxmddUaeO8ERhIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmqDapubjjz+GTqfDyJEjZadCREREFkCVTc3+/fsRHR2NRo0ayU6FiIiILITqmpo7d+6gd+/eWLFiBQwGg+x0iIiIyELYyE6guEJDQ/Haa6+hQ4cOmDFjxhPnzczMRGZmZu7v6enpAACj0Qij0VhmOeYsuyxjmMPW0VZ2CnnYOtrk+ZcKxvVkGq4n03A9Fc2S15Elfa4o+VlnagydEEKUcS6l5vPPP8dHH32E/fv3w8HBAW3btoWvry/mz59f4PxTp07FtGnT8k2PjY2FXq8v42yJiIioNNy7dw+9evVCWloaXFxcCp1PNU3NxYsX0axZM8TFxeWeS1NUU1PQnppq1arh5s2bT1wpJWU0GhEXF4eOHTvC1tZy9o68VbG/7BTysHW0wYBV3RAT9BWMGQ9kp2OxuJ5Mw/VkGq6nolnyOvomda3sFHIp+VmXnp4ODw+PIpsay9u3VoiDBw/i+vXr8PPzy52WlZWFXbt2YfHixcjMzIS1tXWe59jb28Pe3j7fsmxtbRVpNpSKYypjhuXstnyUMeNBiXNzdLeD3s2hlDKyDKnn7yDrfnbu76WxnixRadXOxv7h25lzZUc8yJT7QfR47SwRt7uCpZ6/A2PGw/9b4jZnSZ8pOZT4rDN1+appatq3b49jx47lmRYYGIi6deti3Lhx+RoaKl8av1UX788chEqVKslOpdT0fDYIyYnpstMoc6VVO6PRiC1btmD1wcXS3/hZO/Xq+WwQ0i9lyE6DzKSapsbZ2RkNGjTIM61ChQpwd3fPN53Kn30xR2FrvwohkwPh7e0tOx0qBtZOvVg7sjSqu6SbqDC7oxKwbFoMbty4ITsVKibWTr1YO7Ikqm5qfv3110JPEqbyaU/0IcwPW4rU1FTZqVAxsXbqxdqRpVB1U0NUkPi1xxEx8BNkZPC4uNqwdurF2pElYFNDmnR0cyJGvf4hsrKyZKeiSj5+Hug4tpWU2KxdybB2VJ6xqSHNOvvLJQQ2D5Wdhio5GRwRPD4AbYc3lxKftTMfa0flGZsaUsTbEe1R79VaisdNOpKMns8GKR5XCwwGA0bMGIqWgQ2lxGftzMfaUXnFpoYUUcFVj8ivIlC9pZeicYUAks+k8w3WTE5OTpgcNR7PvVUHOp2ysVm7kmHtqDxiU0OKsbe3x4rfFsKjrquyb7ICSDmTjn5+g3ms3wx2dnaYt3kWar5YGVD4w5G1KxnWjsobNjWkKCsrK/z3xEq41nRW9E1WCODq4WQM7TCaV2eYQafTYfnOBfBp4gGdlbKfjqxdybB2VJ6wqSEpNp2NgVsdZ8Xj/r3zCib1jeD9NMy07kAUvBu7K/+tH6xdSbF2VB6wqSFpVh9YLCXu0c2JiBy1gHdANdO6g1Go1sJL8fM0ANaupNYdjELVZp5SYrN2pAQ2NSRd7TZVFI8Zv/Y4lkxZgaSkJMVja0HM3sV4pnNNKbFZu5JZEjdHWmzWjsoamxqSbkbsRDR+9xnF4+6JPoTlEatx/fp1xWNrwfxvZ8GvV30psVm7kvP1f1ZKXNaOyhKbGpKuQoUKmBA1Gi0ClL+nxu6oBCz6MBopKSmKx1Y7GxsbhC8fh5dDm0qJz9qVzPiFo1g70hw2NWQR3N3dMWxmCFqHNFE89r6Yo/g4dB7u3r2reGy10+v1GD5jCDp+8IKU+Kyd+RwdHVk70hw2NWQxvL29MSg8EK0GNlY89qGNJxHWbQqMRqPisdXO1dUVA8cHoPO41lLis3bmY+1Ia9jUkEXx8fHB0IhgNOuj/Lkap3+8gJDWIxSPqwVubm4ICuuPV0a1kBL/9I8XMKLTOCmx1c4SasftjkoLmxqyOF5eXghbMBLPvVVH8diXD97Ae/UHKh5XCwwGA0LDQ9Aq2FdK/CuHk6XE1QLZteN2R6WFTQ1ZJIPBgJkbpqDWy5UVjSsEcPNUGno8wzFrzOHi4oIJC8bA11/5q9mEePhvgN8wxWNrgezacbuj0sCmhiyWXq9H1I658G7krvxYUWfT0bthMETOJyWZzMHBAR/HTsdTr1STcvfaW+dus3Zmklo7bndUCtjUkEWztrbG+sPLULG2smNFQQA3TqQi5OURyMzMVDCwNlhbWyPqp7mo0tRT8fGGWLuSYe1IzdjUkCp8kRgDQ21nRffYCAH8s+cqwvwn4/bt28oF1pA18Uvh1dAgZSBF1q5kWDtSIzY1pBpfJMbAq6G74nFPfH8OM0Pn4ObNm4rH1oL1h6JR2c9DyqEo1q5kWDtSGzY1pCprDi5R/ORhADjw2QksmhiNa9euKR5bC9bEL8VT7apJic3alQxrR2rCpoZUxdraGvO3zJJyuffeFYcRPT2Gb7BmWrw9UsqVNQBrV1KsHakFmxpSHb1ej/CYcVJu0Lc7KgFLp6zkLnEzWFtbI2LtZGn3QmHtzMfakVqwqSFVMhgMGBk5VMqQCntXHManoxfxJEYzODg4YEzk+9LuXsvamY+1IzVgU0Oq5eXlhcHTgqQMgnngsxOY1DuCl52awcXFBYMnBUkbb4i1Mx9rR5aOTQ2pmo+PDwZPHYAWAQ0Vj33i+3MY1mEsbxRmBoPBgAFj+0kbIZq1Mx9rR5aMTQ2pnre3N0ZFhqLxu8qfyHh+71X0aRSieFwtcHNzw6CJQXg5tKmU+Kyd+Vg7slRsakgT3N3dMTVmAp7uWF3RuEIA10+kcswaM7m6umLM7OHw66X8Sd+sXcmwdmSJ2NSQZjg5OWHB9x/Dp4mHlLGiOMqwefR6PT5aMxl1u9ZUtm4Aa1dCrB1ZGjY1pCm2trZYdzAKbk+5KD5WVPKpNAQ+PxQPHjxQMLA22NjYYNEPkajWwkvKQIqsnflYO7IkbGpIkz4/tQoVayo7CKYQwKUDNzDi9XG4e/eucoE1ZNXexfDx9ZAy3hBrVzKsHVkCNjWkWZvOxsCzbkXF457+8QKmDfwYKSkpisfWgnUHo+Dt6y5lvCHWrmRYO5KNTQ1p2objy1G9pZficQ9tPIl5YUtw/fp1xWNrwboDUaj1UmXlz9MAa1dSrB3JxKaGNE2n02HJz3NQt2tNxWPvizmKZdNWISkpSfHYWhD9y3zUf0P5Mb4A1q6kWDuShU0NaZ6DgwNmxE5Ck551FY+9OyoBy6bF4MaNG4rHVjudTodPvpiOloHK31gRYO1KgrUjWdjUULng6uqKsQuG44Ug5ceK2hN9CPPDliI1NVXx2GpnZ2eHcQtGo+3w5lLis3bmY+1IBjY1VG54enpiaMRAKSMNx689joiBnyAjI0Px2Grn5OSEoeHB6BTWSkp81s58rB0pjU0NlSve3t4YPHUAWg5opHjso5sTMer1D5GVlaV4bLUzGAwICuuPjmPlfDiyduZj7UhJbGqo3PHx8cHwWYOlnGNz9pdLCGweqnhcLXBzc0Pw+ABphzNYO/OxdqQUNjVULnl6emJi1Aeo92otxWMnHUlGz2c5Zo05DAYDRswYKu0EVNbOfKwdKYFNDZVbrq6uiPwqQvH72AgBJJ9J5xusmZycnDA5ajyee6uO4vdCYe1KhrWjssamhso1e3t7rPhtITzquio/COaZdPTzG8xj/Waws7PDvM2zUPPFylLGG2LtzMfaUVliU0PlnpWVFf57YiVcJYwVdfVwMoZ2GM2rM8yg0+mwfOeCh6OySxhviLUzH2tHZYVNDdH/2XQ2Bu5Puyi+W/zvnVcwqW8E76dhpnUHouDdWM54Q6xdybB2VNrY1BA94vOTq+Dt66F43KObExE5agHvgGqmdQejULWZp5TYrF3JrDsYhWotvKSMFcXaaQ+bGqLHrNq3EE+1r6Z43Pi1x7FkygqOWWOmJXFzpMVm7UomZu9iPNO5ppTYrJ22sKkheoytrS0iv56Oxu8+o3jsPdGHsDxiNUcZLgFf/2elxGXtSmb+t7Pg16u+lNisnXbYyE6AyBI5OTlhQtRozHNagj/WHFM09u6oBBgzH+Beyr+KxtWK8QtHYYHzUuxaclDx2Kyd+WxsbBC+fBw+NSxk7chs3FNDVAh3d3cMmxmC1iFNFI+9L+YoMpLvKx5XCxwdHTF8xhB0/OAFKfFZO/Pp9XrWjkqETQ3RE3h7e2NQeCBaDVR+dG8yn6urKwaOD0Dnca1lp0LFxNpRSbCpISqCj48PhkYEo1kfOcf7yTxubm4ICuuPV0a1kJ0KFRNrR+ZiU0NkAi8vL4QtGInn3qojOxUqBoPBgNDwELQK9pWdChUTa0fmYFNDZCKDwYCZG6ag1suVZadCxeDi4oIJC8bA11/5q9moZFg7Ki42NUTFoNfrEbVjLrwbuUu5WRiZx8HBAR/HTsdTr1STcvdaMh9rR8XBpoaomKytrbH+8DJUrK3sWFFUMtbW1oj6aS6qNPVUfLwhKhnWjkzFpobITF8kxsBQ25l7bFRmTfxSeDU08MNRhVg7KgqbGqIS+CIxBl4N3WWnQcW0/lA0Kvt5cE+bCrF29CRsaohKaM3BJTx5WIXWxC/FU+2UH+OLSo61o8KwqSEqIWtra8zfMouXe6vQ4u2RvLJGpVg7KgibGqJSoNfrER4zjjfoUxlra2tErJ3Me6GoEGtHBWFTQ1RKDAYDRkYO5ZAKKuPg4IAxke/z7rUqxNrR49jUEJUiLy8vDJ4WJGUQTDKfi4sLBk8K4nhDKsTa0aNU09TMmjULzZs3h7OzMypVqoS3334bp06dkp0WUT4+Pj4YPHUAWgQ0lJ0KFYPBYMCAsf2kjRBN5mPtKIdqmpqdO3ciNDQU+/btQ1xcHIxGIzp16oS7d+/KTo0oH29vb4yKDEXjd3kio5q4ublh0MQgvBzaVHYqVEysHQEqamq2bduGgIAAPPfcc2jcuDHWrFmDCxcu4ODBg7JTIyqQu7s7psZMwNMdq8tOhYrB1dUVY2YPh18vnvStNqwd2chOwFxpaWkAHnbnhcnMzERmZmbu7+np6QAAo9EIo9FYZrnlLLssY5jD1tFWXnBd/vVhqeupNNnb22PO1xEY1j4M146lQIjiL8PW0SbPv0qwtrVWXV1K8/Vka2uLqSvGY8KdaUj86YJZdZOlqNppfbsrjdrJ2OZMZUl1U/K1ZGoMnRBq2lwfys7OxptvvonU1FT89ttvhc43depUTJs2Ld/02NhY6PX6skyRiIiISsm9e/fQq1cvpKWlwcXFpdD5VNnUDBkyBFu3bsVvv/2GqlWrFjpfQXtqqlWrhps3bz5xpZSU0WhEXFwcOnbsCFtbiXtHHvNWxf7SYnf/pAt6h7yXZ5qlrqey1L9xKFIv3AGKsdXZOtpgwKpuiAn6CsaMB2WX3CPqtKmCud/MVCRWaSnL19Ogl0fh2vEUiOxSXWyZKKp25W27M6d2MrY5U32TulZ2CrmUfC2lp6fDw8OjyKbG8vatFWHYsGH4/vvvsWvXric2NMDDXf/29vb5ptva2iqyMSsVx1TGDIm7LQUKXReWtp7KUuyJ5ej1XDBu/JVa7OcaMx4oVsMsY5Zqa1IWr6eY3xejX7MhuHroZrEaUhlMrV152e5KUjsltzlTWWLNlHgtmbp81ZwoLITAsGHD8PXXX+Pnn39GrVq1ZKdEZJYNx5ejeksv2WlQMa07EIVaL1XmqOwqxNqVH6ppakJDQ/HZZ58hNjYWzs7OSEpKQlJSEjIyMmSnRlQsOp0OS36eg7pda8pOhYop+pf5qP8Gx/hSI9aufFBNUxMVFYW0tDS0bdsWPj4+uT8bN26UnRpRsTk4OGBG7CQ06VlXdipUDDqdDp98MR0tA3ljRbVh7coH1TQ1QogCfwICAmSnRmQWV1dXjF0wHC8EcawoNbGzs8O4BaPRdnhz2alQMbF22qeapoZIizw9PTE0YiBHGlYZJycnDA0PRqewVrJToWJi7bRNdVc/kTptX7oL8d8ezjPN2tYaHUJexOi3P0SWMUtOYhYiLemO7BTyuHT4GoZ2Gi07jWKR8Xq6m/KvInGKo6jacbt7yBJrRyXHpoYUcfNkGm6eTMszzdbRFh1CgLO/Xra4yybLu4zk+0j86aLsNIqFr6eHiqod1xNpGQ8/ERERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGqIiIhIE9jUEBERkSawqSEiIiJNYFNDREREmsCmhoiIiDSBTQ0RERFpgo3sBIhKi5OXA+xd7GSnUWpSz99B1v1s2WmUOUd3O+jdHEq8HBv7h29nbnWc8SDzQYmXVxKsnXqlnr8jOwUqATY1pBmtA5oiKKw/DAaD7FRKRc9ng5CcmC47jTLX+K26eH/mIFSqVKlEyzEajdiyZQtWH1wMW1vbUsrOPKydevV8NgjplzJkp0Fm4uEn0ozts/dg9afrkZqaKjsVKoZ9MUexbNoqJCUlyU6Fiom1I0vDpoY0ZevM3Vg+azVu374tOxUqht1RCVg2LQY3btyQnQoVE2tHloRNDWlOXORezBu/GJmZmbJToWLYE30I88OWck+bCrF2ZCnY1JAm7Y5KwOTAGcjO1v7JmmWh0nMV0SrYV/G48WuPI2LgJ8jI4DkNasPakSVgU0OadejzkxjWdazsNFTJ1dsZg6cOQMsBjRSPfXRzIka9/iGysrIUj60FPn4e6Di2lZTYrB3JxqaGNC3xpwsIajVMdhqq5OPjg+GzBqNJz7qKxz77yyUENg9VPK4WOBkcETw+AG2HN5cSn7UjmdjUkCLejmiPeq/WUj6wAC7GX0e/pkOUj60Bnp6emBj1gZTaJR1JRs9ngxSPqwUGgwEjZgxFy8CGUuKzdiQLmxpSRAVXPSK/ikD1ll6KxxbZAklHkrnHxkyurq5SaicEkHwmnR+OZnJycsLkqPF47q060OmUjc3akSxsakgx9vb2WPHbQnjUdVX+TTZb4MIf1zC002iePGwGabUTQMqZdPTzG8zzNMxgZ2eHeZtnoeaLlQGFtznWjmRgU0OKsrKywn9PrIRrTWcpb7KJP13E+D7hvNzbDLJqJwRw9XAyhnYYzStrzKDT6bB85wL4NPGAzkrZjY61I6WxqSEpNp2NgVsdZymxD31+ErNHz+UN+sy06WwM3J92UXxv2987r2BS3wjeC8VM6w5Ewbuxu/JfJsDakXLY1JA0qw8slhZ7d1QComas5JusmT4/uQrevh6Kxz26ORGRoxbw7rVmWncwClWbeUqJzdqREtjUkHS121SREjcuci9i5qzDrVu3pMRXu1X7FuKp9tUUjxu/9jiWTFnB8YbMtCRujrTYrB2VNTY1JN2M2Ilo/O4zUmJvnbkbqz5Zi/R07Y+oXNpsbW0R+fV0KbXbE30IyyNW4/r164rH1gpf/2elxGXtqCyxqSHpKlSogAlRo9EiQM49NbbP3oOFk6N4IqMZnJycpNVud1QCFn0YjZSUFMVja8H4haPwcmhTKbFZOyorbGrIIri7u2PYzBC0DmkiJf7ORQcQMeQTPHjwQEp8NZNZu30xR/Fx6DzcvXtX8dhq5+joiOEzhqDjBy9Iic/aUVlgU0MWw9vbG4PCA9FqYGMp8fevO44x//lQSmy1k1m7QxtPIqzbFBiNRsVjq52rqysGjg9A53GtpcRn7ai0sakhi+Lj44OhEcFo1qe+lPh/bTmH4JeGS4mtdjJrd/rHCxjRaZzicbXAzc0NQWH98cqoFlLin/7xAkJaj5ASm7SHTQ1ZHC8vL4QtGInn3qqjeGwhgPO/JyGg+VDFY2uBzNpdOZyseEytMBgMCA0PQatgXynxLx+8gffqD5QSm7SFTQ1ZJIPBgJkbpqDWy5UVjy2yBa4cuonA59nYmENW7YR4+G+AH8f4MoeLiwsmLBgDX3/lr2YTArh5Kg09nuFYUVQybGrIYun1ekTtmAvvRu5Sxoq6dPAGBr0yEiLn05JMJrN2t87dRu+GwaybGRwcHPBx7HQ89Uo1OWNFnU1n7ahE2NSQRbO2tsb6w8tQsbacsaLO7byM0d0+5ImMZpBWOwHcOJGKkJdHcIwvM1hbWyPqp7mo0tRT8bGiWDsqKTY1pApfJMbAUNtZ+T02Ajj+vzOYETqbl56aSUbthAD+2XMVYf6TOcaXmdbEL4VXQ4OUQTBZOzIXmxpSjS8SY+DV0F1K7L0rj2BR+DKkpaVJia92smp34vtzmBk6Bzdv3lQ8thasPxSNyn4eUgbBZO3IHGxqSFXWHFwi5eRhANgxdx9WfrKWY0WZSVbtDnx2AosmRuPatWuKx9aCNfFL8VQ75cf4Alg7Kj42NaQq1tbWmL9llpRLhgFg26zdiJmznntszCCzdntXHEb09Bh+OJpp8fZIKVdFAawdFQ+bGlIdvV6P8Jhx0m7Qt23WbkRFrOQ5NmaQWbvdUQlYOmUlD2eYwdraGhFrJ0u7jw1rR6ZiU0OqZDAYMDJyqLQhFXbM3YdPRs3jVVFmkFm7vSsO49PRi3gCqhkcHBwwJvJ9aXceZu3IFCY3NVeuXCnLPIiKzcvLC4OnBUkbBHPvyiMI6zGF99Qwg8zaHfjsBCb1juAlw2ZwcXHB4ElB0saKYu2oKCY3Nc899xxiY2PLMheTLFmyBDVr1oSDgwNatGiB+Ph42SmRRD4+Phg8dQBaBDSUEv/Pb85gcPtRUmKrnczanfj+HIZ1GMuG1AwGgwEDxvaTNro3a0dPYnJT89FHH2HQoEHw9/dHSkpKWeZUqI0bN2L06NEIDw9HQkICGjdujM6dO+P69etS8iHL4O3tjVGRoWj8rpzbu/+98zKHVDCTzNqd33sVfRqFKB5XC9zc3DBoYhBeDm0qJT5rR4UxuakZOnQojh49iuTkZNSvXx/fffddWeZVoLlz5yI4OBiBgYGoX78+li1bBr1ej5iYGMVzIcvi7u6OqTET8HTH6soHF8DlhJscBNNMsmonBHD9RCrHGzKTq6srxsweDr9eyp/0zdpRYWyKM3OtWrXw888/Y/HixXjnnXdQr1492NjkXURCQkKpJpjj/v37OHjwICZMmJA7zcrKCh06dMDvv/9e4HMyMzPzHHtNT08HABiNxjI9wTNn2ZZ2Eqmto6284Lr866O015O9vT3mfB2BYe3DcO1YCpTeO33jZCqGtB+Fhds+KZXl2djbwNbRFraOD7exnH+VYG1rrejrtzRqZ+56un0lA32bDEZM/KLiBy1ETu1kKKp2pbnd2draYuqK8ZhwZxoSf7qg+DZXdrVTfpszlSV9rij5WWdqDJ0o5oHJ8+fPIzAwEMePH8egQYPyNTXh4eHFWZzJrly5gipVqmDv3r144YX/fyw3LCwMO3fuxB9//JHvOVOnTsW0adPyTY+NjYVery+TPImIiKh03bt3D7169UJaWhpcXFwKna9YbeiKFSswZswYdOjQAX/++Sc8PT1LnGhZmjBhAkaPHp37e3p6OqpVq4ZOnTo9caWUlNFoRFxcHDp27AhbW4l7Rx7zVsX+0mJ3/6QLeoe8l2daWa+n/o1DkXrhDiDhfMKm79VD2LyRcHBwMHsZgU2HIeXsbdg62mDAqm6ICfoKxowHpZhl4eq0qYK538xUJFZBzKldaaynp16piojPJpb4S09O7WQoqnZlud0NenkUrh1Pgcgu1cWapDRrd/tKhuLbnKm+SV0rO4VcSn7W5RxpKYrJTU2XLl0QHx+PxYsXo1+/fmYnZi4PDw9YW1vnu6vktWvX4O3tXeBz7O3tYW9vn2+6ra2tIs2GUnFMZcyQuNtSoNB1UVbrKfbEcvR6Lhg3/kot9WUXZV/MUSyosBTDI4aY3UA/yHyQp2bGjAeK1TDLmCX1tVuS2pVkPf31wzl8NHgOxi8ZBTc3N7OWAeSvnZJMrV1ZbHcxvy9Gv2ZDcPXQTcW/TJRu7R42Mkpuc6aypM+UHEp81pm6fJNPFM7KysLRo0elNDQAYGdnh6ZNm2LHjh2507Kzs7Fjx448h6OIHrXh+HJUb+klJfbORQewfFYMx4oyk6zaHdp4EvPClvCqSjOtOxCFWi9VVnRU9hysHZnc1MTFxaFq1aplmUuRRo8ejRUrVmDt2rX466+/MGTIENy9exeBgYFS8yLLpdPpsOTnOajbtaaU+Ntn78HqT9cjNTVVSnw1k1m7fTFHsWzaKiQlJSkeWwuif5mP+m/IGZ+NtSvfVDVMQo8ePTBnzhxMmTIFvr6+OHz4MLZt2wYvLznfxEkdHBwcMCN2Epr0rCsl/taZu7F81mre3t0MMmu3OyoBy6bF4MaNG4rHVjudTodPvpiOloFyborJ2pVfqmpqAGDYsGE4f/48MjMz8ccff6BFCznjkJC6uLq6YuyC4XghSM5YUXGRezFv/GLe3t0MMmu3J/oQ5oct5Z42M9jZ2WHcgtFoO7y5lPisXfmkuqaGyFyenp4YGjFQ6kjDkwNnIDtbwqUhKiezdvFrjyNi4CfIyMhQPLbaOTk5YWh4MDqFtZISn7Urf9jUULni7e2NwVMHoOWARlLiH/r8JIZ1HSslttrJrN3RzYkY9fqHyMrKUjy22hkMBgSF9UfHsXIaG9aufGFTQ+WOj48Phs8aLO0cm8SfLiCo1TApsdVOZu3O/nIJgc1DFY+rBW5ubggeHyDtUBRrV36wqaFyydPTExOjPkC9V2spH1wAF+Ovo1/TIcrH1gCZtUs6koyez3K8IXMYDAaMmDFU2snDrF35wKaGyi1XV1dEfhUh5V4oIlsg6Ugy99iYSVbthACSz6Tzw9FMTk5OmBw1Hs+9VUfx+9iwduUDmxoq1+zt7bHit4XwqOuq/JtstsCFP65haKfRPHnYDNJqJ4CUM+no5zeY52mYwc7ODvM2z0LNFysDSt+gj7XTPDY1VO5ZWVnhvydWwrWms5Q32cSfLmJ8n3Be7m0GWbUTArh6OBlDO4zmlTVm0Ol0WL5zAXyaeEBnpexGx9ppG5saov+z6WwM3J92kXN7989PYvboubxBn5k2nY2BWx1nxeP+vfMKJvWN4L1QzLTuQBS8G7sr/2UCrJ1WsakhesTnJ1fB29dDSuzdUQmImrGSb7JmWn1gsZS4RzcnInLUAt691kzrDkahWgsvKV8mWDvtYVND9JhV+xbiqfbVpMSOi9yLmDnrOAhmCdRuU0XxmPFrj2PJlBUcb8hMMXsX45nONaXEZu20hU0N0WNsbW0R+fV0NH73GSnxt87cjVWfrEVm+n0p8dVuRuxEKbXbE30IyyNWc4RoM83/dhb8etWXEpu10w42NUQFcHJywoSo0WgRIOeeGttn78Gda/9Kia12FSpUkFa73VEJWPRhNO6lsHbFZWNjg/Dl4/ByaFMp8Vk7bWBTQ1QId3d3DJsZgtYhTWSnQsUks3b7Yo4iI5l72cyh1+sxfMYQdPzgBSnxWTv1Y1ND9ATe3t4YFB6IVgPljO5N5mPt1MnV1RUDxweg87jWslMhFWJTQ1QEHx8fDI0IRrM+co73k/lYO3Vyc3NDUFh/vDKqhexUSGXY1BCZwMvLC2ELRuK5t+rIToWKibVTJ4PBgNDwELQK9pWdCqkImxoiExkMBszcMAW1Xq4sOxUqJtZOnVxcXDBhwRj4+su5EpHUh00NUTHo9XpE7ZgL70buUm4WRuZj7dTJwcEBH8dOx1OvVJNy52FSFzY1RMVkbW2N9YeXoWJtCWNFUYmwdupkbW2NqJ/mokpTT8XHiiJ1YVNDZKYvEmNgqO3Mb/0qxNqp05r4pfBqaGBjQ4ViU0NUAl8kxsCrobvsNMgMrJ06rT8Ujcp+HtzTRgViU0NUQmsOLuEJqCrF2qnTmvileKqdnPHZyLKxqSEqIWtra8zfMouXDKsQa6dei7dH8qooyodNDVEp0Ov1CI8Zx5u8qRBrp07W1taIWDuZ97GhPNjUEJUSg8GAkZFDeVt+FWLt1MnBwQFjIt/nnYcpF5saolLk5eWFwdOCOAimCrF26uTi4oLBk4I4VhQBYFNDVOp8fHwweOoAtAhoKDsVKibWTp0MBgMGjO0nbXRvshxsaojKgLe3N0ZFhqLxuzyRUW1YO3Vyc3PDoIlBeDm0qexUSCI2NURlxN3dHVNjJuDpjtVlp0LFxNqpk6urK8bMHg6/Xjzpu7xiU0NUhpycnLDg+4/h08SDd69VGdZOnfR6PT5aMxl1u9Zk3cohNjVEZczW1hbrDkbB7SkX3gVVZVg7dbKxscGiHyJRrYUX61bOsKkhUsjnp1ahYk0OpKhGrJ06rdq7GD6+HhwrqhxhU0OkoE1nY+BZt6LsNMgMrJ06rTsYBW9fdzak5QSbGiKFbTi+HNVbeslOg8zA2qnTugNRqPVSZZ5jUw6wqSFSmE6nw5Kf56Bu15qyU6FiYu3UK/qX+aj/Bsf40jo2NUQSODg4YEbsJDTpWVd2KlRMrJ066XQ6fPLFdLQM5I0VtYxNDZEkrq6uGLtgOF4I4nhDasPaqZOdnR3GLRiNtsOby06FygibGiKJPD09MTRiIEcaViHWTp2cnJwwNDwYncJayU6FyoCN7ASofNi+dBfivz2cZ5q1rTU6hLyI0W9/iCxjlpzELERa0h3ZKeRx6fA1DO00WnYaxSLr9aS22nG7e+huyr+yU6AywKaGFHHzZBpunkzLM83W0RYdQoCzv16GMcMoKTMqSEbyfST+dFF2GsXC19NDRdWO64m0jIefiIiISBPY1BAREZEmsKkhIiIiTWBTQ0RERJrApoaIiIg0gU0NERERaQKbGiIiItIENjVERESkCWxqiIiISBPY1BAREZEmsKkhIiIiTWBTQ0RERJrApoaIiIg0gU0NERERaQKbGiIiItIENjVERESkCWxqiIiISBPY1BAREZEmsKkhIiIiTWBTQ0RERJrApoaIiIg0gU0NERERaQKbGiIiItIEVTQ1//zzD4KCglCrVi04OjqiTp06CA8Px/3792WnRkRERBbCRnYCpjh58iSys7MRHR2Np556CsePH0dwcDDu3r2LOXPmyE6PiIiILIAqmpouXbqgS5cuub/Xrl0bp06dQlRUFJsaIiIiAqCSpqYgaWlpcHNze+I8mZmZyMzMzP09PT0dAGA0GmE0Gssst5xll2UMc9g62spOIQ9bR5s8/1LBuJ5Mw/VkGq6nolnyOrKkzxUlP+tMjaETQogyzqXUnTlzBk2bNsWcOXMQHBxc6HxTp07FtGnT8k2PjY2FXq8vyxSJiIiolNy7dw+9evVCWloaXFxcCp1PalMzfvx4zJ49+4nz/PXXX6hbt27u75cvX0abNm3Qtm1brFy58onPLWhPTbVq1XDz5s0nrpSSMhqNiIuLQ8eOHWFrazl7R96q2F92CnnYOtpgwKpuiAn6CsaMB7LTsVhcT6bhejIN11PRLHkdfZO6VnYKuZT8rEtPT4eHh0eRTY3UfWtjxoxBQEDAE+epXbt27v+vXLmCdu3aoVWrVli+fHmRy7e3t4e9vX2+6ba2too0G0rFMZUxw3J2Wz7KmPGgVHJz8nKAvYtdKWRkGVLP30HW/ezc30trPVmi0qidjf3DtzPnyo54kCn3g+jx2lmi0ng9ObrbQe/mUEoZWYbU83dgzHj4f0vc5izpMyWHEp91pi5falPj6ekJT09Pk+a9fPky2rVrh6ZNm2L16tWwslLF1eikoNYBTREU1h8Gg0F2KqWi57NBSE5Ml52GIkqjdkajEVu2bMHqg4ulv/GXl9o1fqsu3p85CJUqVZKdSqnp+WwQ0i9lyE6DzKSKzuDy5cto27Ytqlevjjlz5uDGjRtISkpCUlKS7NTIgmyfvQerP12P1NRU2alQMbF26rQv5iiWTVvF92KyGJZ3ancB4uLicObMGZw5cwZVq1bN85gKz3OmMrR15m48MGZhyKSBcHZ2lp0OFQNrp067oxKQnS0QOj3Y5D3vRGVFFXtqAgICIIQo8IfocXGRezFv/OI8J4mTOrB26rQn+hDmhy3lnjaSThVNDVFx7Y5KwOTAGcjOtuyTNS1VpecqolWwr5TYrF3JyKpd/NrjiBj4CTIyeD4KycOmhjTr0OcnMazrWNlpqJKrtzMGTx2AlgMaSYnP2plPZu2Obk7EqNc/RFZWluKxiQA2NaRxiT9dQFCrYbLTUCUfHx8MnzUYTXrWLXrmMsDamU9m7c7+cgmBzUMVj0sEsKkhhbwd0R71Xq2lfGABXIy/jn5NhygfWwM8PT0xMeoD1k6FZNYu6Ugyej4bpHhcIjY1pIgKrnpEfhWB6i29FI8tsgWSjiTzW7+ZXF1dWTuVklU7IYDkM+lsbEhxbGpIMfb29ljx20J41HWFTqdsbJEtcOGPaxjaaTRPQDUDa6de0mongJQz6ejnN5jn2JBi2NSQoqysrPDfEyvhWtMZUPjDEQJI/OkixvcJ5yXDZmDt1EtW7YQArh5OxtAOo3lVFCmCTQ1JselsDNzqyLnB2qHPT2L26Lm4ffu2lPhqt+lsDNyfdlF8jw3A2pWUrO3u751XMKlvBO9jQ2WOTQ1Js/rAYmmxd0clIGrGSr7Jmunzk6vg7eshJTZrVzKytrujmxMROWoBbty4ISU+lQ9saki62m2qSIkbF7kXMXPW4datW1Liq92qfQvxVPtqUmKzdiUnY7uLX3scS6as4FhRVGbY1JB0M2InovG7z0iJvXXmbqz6ZC3S07U/onJps7W1ReTX01k7lZK13e2JPoTlEatx/fp1xWOT9rGpIekqVKiACVGj0SKgoZT422fvwcLJUTyR0QxOTk6snUrJ3O52RyVg0YfRSElJUTw2aRubGrII7u7uGDYzBK1DmkiJv3PRAUQM+QQPHjyQEl/NWDv1klm7fTFH8XHoPNy9e1fx2KRdbGrIYnh7e2NQeCBaDWwsJf7+dccx5j8fSomtdpZQu4m9p0uJrXYya3do40mEdZsCo9GoeGzSJjY1ZFF8fHwwNCIYzfrUlxL/ry3nEPzScCmx1U527U79eF5KXC2QWbvTP15ASOsRisclbWJTQxbHy8sLYQtG4rm36igeWwjg/O9JCGg+VPHYWiC7dgAwpO1oxWNrgczaXT54A+/VH6h4XNIeNjVkkQwGA2ZumIJaL1dWPLbIFrhy6CYCn2djYw6ZtQOAq0eTWTszyaqdEMDNU2no8QzHiqKSYVNDFkuv1yNqx1x4N3KXMt7QpYM3MOiVkRA5uwDIZHJrB9auBKTVTgApZ9PRu2Ew60ZmY1NDFs3a2hrrDy9Dxdpyxhs6t/MyRnf7kCcymoG1Uy9ptRPAjROpCHl5BMf4IrOwqSFV+CIxBobazsp/6xfA8f+dwYzQ2bz01EysnXrJqJ0QwD97riLMfzLH+KJiY1NDqvFFYgy8GrpLib135REsCl+GtLQ0KfHVjrVTL1m1O/H9OcwMnYObN28qHpvUi00Nqcqag0uknYC6Y+4+rPxkLccbMhNrp16yanfgsxNYNDEa165dUzw2qRObGlIVa2trzN8yS8plpwCwbdZuxMxZz2/9ZmDt1Etm7fauOIzo6TFsbMgkbGpIdfR6PcJjxkm7ydu2WbsRFbGS52mYgbVTL5m12x2VgKVTVvJQFBWJTQ2pksFgwMjIodJuy79j7j58Mmoer6wxA2unXjJrt3fFYXw6ehFPHqYnYlNDquXl5YXB04KkDaS4d+URhPWYwntqmIG1Uy+ZtTvw2QlM6h3By72pUGxqSNV8fHwweOoAtAhoKCX+n9+cweD2o6TEVjvWTr1k1u7E9+cwrMNYNqRUIDY1pHre3t4YFRmKxu8+o3hsIYC/d17mbfnNxNqpl8zand97FX0ahSgelywfmxrSBHd3d0yNmYCnO1ZXPrgALifc5CCYZmLt1EtW7YQArp9I5VhRlA+bGtIMJycnLPj+Y/g08ZAyVtSVQzcR/NJwZQNrBGunXtJq939jRXF0b3oUmxrSFFtbW6w7GAW3p1wUH29IZAuc33sVw98Iw4MHD5QNrgGsnXpJq50Akk+lIfD5oawbAWBTQxr1+alVqFhT+YEUhQD++uEcpgz8CBkZGcoG1wjWTr1k1E4I4NKBGxjx+jjef4jY1JB2bTobA8+6FaXE3r/uOD4dvxDp6elS4qsda6desmp3+scLmDbwY6SkpCgemywHmxrStA3Hl6N6Sy8psXcuOoDls2I43pCZWDv1klW7QxtPYl7YEly/fl3x2GQZ2NSQpul0Oiz5eQ7qdq0pJf722Xuw+tP1SE1NlRJfzVg79ZJZu30xR7Fs2iokJSUpHpvkY1NDmufg4IAZsZPQpGddKfG3ztyN5bNW8/buZmDt1Etm7XZHJWDZtBjcuHFD8dgkF5saKhdcXV0xdsFwvBAkZ7yhuMi9mDd+MW/vbgbWTr1k1m5P9CHMD1vKPW3lDJsaKjc8PT0xNGIgWgX7Som/OyoBkwNnIDs7W0p8NWPt1Etm7eLXHkfEwE94NVs5wqaGyhVvb28MnjoALQc0khL/0OcnMazrWCmx1Y61Uy+ZtTu6ORGjXv8QWVlZiscm5bGpoXLHx8cHw2cNlnaeRuJPFxDUapiU2GrH2qmXzNqd/eUSApuHKh6XlMemhsolT09PTIz6APVeraV8cAFcjL+Ofk2HKB9bA1g79ZJZu6Qjyej5LMeK0jo2NVRuubq6IvKrCCn30xDZAklHkvmt30ysnXrJqp0QQPKZdDY2Gsemhso1e3t7rPhtITzqukoZSPHCH9cwtNNonoBqBtZOvaTVTgApZ9LRz28wz7HRKDY1VO5ZWVnhvydWwlXCeEMQQOJPFzG+TzgvGTYDa6desmonBHD1cDKGdhjNq6I0iE0N0f/ZdDYG7k+7KP6tH3h4Zc3s0XN5kzczbTobA7c6zlJis3YlI2u7+3vnFUzqG8H72GgMmxqiR3x+chW8fT2kxN4dlYCoGSv5Jmum1QcWS4vN2pWMrO3u6OZERI5awDsPawibGqLHrNq3EE+1ryYldlzkXsTMWceBFEugdpsqUuKydiUja7uLX3scS6as4FhRGsGmhugxtra2iPx6Ohq/+4yU+Ftn7saqT9YiM/2+lPhqNyN2ImunQjK3uz3Rh7A8YjVH99YANjVEBXBycsKEqNFoEdBQSvzts/fgzrV/pcRWuwoVKrB2KiVzu9sdlYBFH0bjXgprp2ZsaogK4e7ujmEzQ9A6pInsVKiYWDv1klm7fTFHkZHMvWxqxqaG6Am8vb0xKDwQrQbKGSGazMfaqRdrR+ZiU0NUBB8fHwyNCEazPvVlp0LFxNqpF2tH5mBTQ2QCLy8vhC0YiefeqiM7FSom1k69WDsqLjY1RCYyGAyYuWEKar1cWXYqVEysnXqxdlQcbGqIikGv1yNqx1x4N3KXcudhMh9rp16sHZmKTQ1RMVlbW2P94WWoWFvCeENUIqyderF2ZAo2NURm+iIxBobazvzmqEKsnXqxdvQkbGqISuCLxBh4NXSXnQaZgbVTL9aOCsOmhqiE1hxcwpMYVYq1Uy/WjgrCpoaohKytrTF/yyxedqpCrJ16sXZUEDY1RKVAr9cjPGYcbxSmQqyderF29Dg2NUSlxGAwYGTkUN7aXYVYO/Vi7ehRqmtqMjMz4evrC51Oh8OHD8tOhygPLy8vDJ4WxIEUVYi1Uy/WjnKorqkJCwtD5co8OYwsl4+PDwZPHYAWAQ1lp0LFxNqpF2tHgMqamq1bt+LHH3/EnDlzZKdC9ETe3t4YFRmKxu8+IzsVKibWTr1YO1JNU3Pt2jUEBwdj/fr10Ov1stMhKpK7uzumxkzA0x2ry06Fiom1Uy/WrnyzkZ2AKYQQCAgIwODBg9GsWTP8888/Jj0vMzMTmZmZub+np6cDAIxGI4xGY1mkmrv8R/+1FLaOtvKC6/KvD0tdT6XJ3t4ec76OwLD2Ybh2LAVCFH8Zto42ef5VgrWtterqUtqvp9KonQxF1Y7bXdFkbHOmsqS6KflaMjWGTgh5m+r48eMxe/bsJ87z119/4ccff8QXX3yBnTt3wtraGv/88w9q1aqFQ4cOwdfXt9DnTp06FdOmTcs3PTY2lnt7iIiIVOLevXvo1asX0tLS4OLiUuh8UpuaGzduIDk5+Ynz1K5dG927d8d3330H3SODfWRlZcHa2hq9e/fG2rVrC3xuQXtqqlWrhps3bz5xpZSU0WhEXFwcOnbsCFtbiXtHHvNWxf7SYnf/pAt6h7yXZ5qlrqey1L9xKFIv3AGKsdXZOtpgwKpuiAn6CsaMB2WX3CPqtKmCud/MVCRWaSnr15M5tZOhqNpxuyuajG3OVN+kFvx5J4OSr6X09HR4eHgU2dRI3bfm6ekJT0/PIudbuHAhZsyYkfv7lStX0LlzZ2zcuBEtWrQo9Hn29vawt7fPN93W1laRjVmpOKYyZkjcbSlQ6LqwtPVUlmJPLEev54Jx46/UYj/XmPFAsRpmGbNUW5Oyej2VpHZKMrV23O6KpuQ2ZypLrJkSryVTl6+KE4WrV6+OBg0a5P4888zDM9vr1KmDqlWrSs6OqHg2HF+O6i29ZKdBZmDt1Iu1Kx9U0dQQaYlOp8OSn+egbteaslOhYmLt1Iu1Kx8s79RuE9SsWRMSTwUiMxzbeRJrsC7vRB1gqOqKDcv/a/HnKZSFuq3q4OTWf2SnUaCUS+lYs3hd0TNaEgVfT6quHbc7i60dlZwqmxpSn6NfJeLoV4l5ptk62mJQbA98EbbN4o5bl3fJp9KwYfh3stMoFr6eHiqqdlxPpGU8/ERERESawKaGiIiINIFNDREREWkCmxoiIiLSBDY1REREpAlsaoiIiEgT2NQQERGRJrCpISIiIk1gU0NERESawKaGiIiINIFNDREREWkCmxoiIiLSBDY1REREpAlsaoiIiEgT2NQQERGRJrCpISIiIk1gU0NERESawKaGiIiINIFNDREREWkCmxoiIiLSBDY1REREpAlsaoiIiEgT2NQQERGRJrCpISIiIk1gU0NERESawKaGiIiINIFNDREREWkCmxoiIiLSBDY1REREpAk2shNQkhACAJCenl6mcYxGI+7du4f09HTY2tqWaazieCCMslPISwD37t2DURgtLzdLwvVkGq4n03A9Fc2C11FZf34Vh5KfdTl/d87neGF0oqg5NOTSpUuoVq2a7DSIiIjIDBcvXkTVqlULfbxcNTXZ2dm4cuUKnJ2dodPpyixOeno6qlWrhosXL8LFxaXM4qgd15NpuJ5Mw/VkGq6nonEdmUbJ9SSEwO3bt1G5cmVYWRV+5ky5OvxkZWX1xA6vtLm4uHCDMAHXk2m4nkzD9WQarqeicR2ZRqn15OrqWuQ8PFGYiIiINIFNDREREWkCm5oyYG9vj/DwcNjb28tOxaJxPZmG68k0XE+m4XoqGteRaSxxPZWrE4WJiIhIu7inhoiIiDSBTQ0RERFpApsaIiIi0gQ2NURERKQJbGoU8MMPP6BFixZwdHSEwWDA22+/LTsli5WZmQlfX1/odDocPnxYdjoW5Z9//kFQUBBq1aoFR0dH1KlTB+Hh4bh//77s1KRbsmQJatasCQcHB7Ro0QLx8fGyU7Ios2bNQvPmzeHs7IxKlSrh7bffxqlTp2SnZfE+/vhj6HQ6jBw5UnYqFufy5cvo06cP3N3d4ejoiIYNG+LAgQOy02JTU9a++uor9O3bF4GBgThy5Aj27NmDXr16yU7LYoWFhaFy5cqy07BIJ0+eRHZ2NqKjo/Hnn39i3rx5WLZsGT788EPZqUm1ceNGjB49GuHh4UhISEDjxo3RuXNnXL9+XXZqFmPnzp0IDQ3Fvn37EBcXB6PRiE6dOuHu3buyU7NY+/fvR3R0NBo1aiQ7FYtz69YttG7dGra2tti6dStOnDiBTz/9FAaDQXZqgKAyYzQaRZUqVcTKlStlp6IKW7ZsEXXr1hV//vmnACAOHTokOyWL98knn4hatWrJTkOq559/XoSGhub+npWVJSpXrixmzZolMSvLdv36dQFA7Ny5U3YqFun27dvi6aefFnFxcaJNmzZixIgRslOyKOPGjRMvvvii7DQKxD01ZSghIQGXL1+GlZUVmjRpAh8fH3Tt2hXHjx+XnZrFuXbtGoKDg7F+/Xro9XrZ6ahGWloa3NzcZKchzf3793Hw4EF06NAhd5qVlRU6dOiA33//XWJmli0tLQ0AyvVr50lCQ0Px2muv5Xld0f/37bffolmzZvD390elSpXQpEkTrFixQnZaAHj4qUz9/fffAICpU6di0qRJ+P7772EwGNC2bVukpKRIzs5yCCEQEBCAwYMHo1mzZrLTUY0zZ85g0aJFGDRokOxUpLl58yaysrLg5eWVZ7qXlxeSkpIkZWXZsrOzMXLkSLRu3RoNGjSQnY7F+fzzz5GQkIBZs2bJTsVi/f3334iKisLTTz+N7du3Y8iQIRg+fDjWrl0rOzU2NeYYP348dDrdE39yzn8AgIkTJ6Jbt25o2rQpVq9eDZ1Oh02bNkn+K8qeqetp0aJFuH37NiZMmCA7ZSlMXU+Punz5Mrp06QJ/f38EBwdLypzUKDQ0FMePH8fnn38uOxWLc/HiRYwYMQIbNmyAg4OD7HQsVnZ2Nvz8/DBz5kw0adIEISEhCA4OxrJly2SnBhvZCajRmDFjEBAQ8MR5ateujatXrwIA6tevnzvd3t4etWvXxoULF8oyRYtg6nr6+eef8fvvv+cbP6RZs2bo3bu3RXT/ZcnU9ZTjypUraNeuHVq1aoXly5eXcXaWzcPDA9bW1rh27Vqe6deuXYO3t7ekrCzXsGHD8P3332PXrl2oWrWq7HQszsGDB3H9+nX4+fnlTsvKysKuXbuwePFiZGZmwtraWmKGlsHHxyfP5xoA1KtXD1999ZWkjP4/NjVm8PT0hKenZ5HzNW3aFPb29jh16hRefPFFAIDRaMQ///yDGjVqlHWa0pm6nhYuXIgZM2bk/n7lyhV07twZGzduRIsWLcoyRYtg6noCHu6hadeuXe5ePyur8r2z1c7ODk2bNsWOHTtyb5WQnZ2NHTt2YNiwYXKTsyBCCLz//vv4+uuv8euvv6JWrVqyU7JI7du3x7Fjx/JMCwwMRN26dTFu3Dg2NP+ndevW+W4JcPr0aYv4XGNTU4ZcXFwwePBghIeHo1q1aqhRowYiIyMBAP7+/pKzsxzVq1fP87uTkxMAoE6dOvw2+YjLly+jbdu2qFGjBubMmYMbN27kPlae90qMHj0a/fv3R7NmzfD8889j/vz5uHv3LgIDA2WnZjFCQ0MRGxuLb775Bs7OzrnnG7m6usLR0VFydpbD2dk533lGFSpUgLu7O88/esSoUaPQqlUrzJw5E927d0d8fDyWL19uEXuO2dSUscjISNjY2KBv377IyMhAixYt8PPPP1vG9fykKnFxcThz5gzOnDmTr9kTQkjKSr4ePXrgxo0bmDJlCpKSkuDr64tt27blO3m4PIuKigIAtG3bNs/01atXF3nok+hxzZs3x9dff40JEyZg+vTpqFWrFubPn4/evXvLTg06UZ7fDYmIiEgzyvcBeSIiItIMNjVERESkCWxqiIiISBPY1BAREZEmsKkhIiIiTWBTQ0RERJrApoaIiIg0gU0NERERaQKbGiJSpaysLLRq1QrvvPNOnulpaWmoVq0aJk6cKCkzIpKFdxQmItU6ffo0fH19sWLFitxbtPfr1w9HjhzB/v37YWdnJzlDIlISmxoiUrWFCxdi6tSp+PPPPxEfHw9/f3/s378fjRs3lp0aESmMTQ0RqZoQAq+88gqsra1x7NgxvP/++5g0aZLstIhIAjY1RKR6J0+eRL169dCwYUMkJCTAxsZGdkpEJAFPFCYi1YuJiYFer8e5c+dw6dIl2ekQkSTcU0NEqrZ37160adMGP/74I2bMmAEA+Omnn6DT6SRnRkRK454aIlKte/fuISAgAEOGDEG7du2watUqxMfHY9myZbJTIyIJuKeGiFRrxIgR2LJlC44cOQK9Xg8AiI6OxgcffIBjx46hZs2achMkIkWxqSEiVdq5cyfat2+PX3/9FS+++GKexzp37owHDx7wMBRROcOmhoiIiDSB59QQERGRJrCpISIiIk1gU0NERESawKaGiIiINIFNDREREWkCmxoiIiLSBDY1REREpAlsaoiIiEgT2NQQERGRJrCpISIiIk1gU0NERESawKaGiIiINOH/AVFaouXGAdWhAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 100.0% ====\n",
      "Total Area            = 73.5416\n",
      "Shell Area            = 31.2661\n",
      "Infill Area           = 42.2755\n",
      "Centroid (x_c, y_c)   = (0.0571, 0.0571)\n",
      "I_x                   = 671.1977\n",
      "I_y                   = 671.1977\n",
      "I_xy                  = -3.7551\n",
      "Polar moment J        = 1342.3955\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def compute_area_moments(XX, YY, mask):\n",
    "    dx = XX[0, 1] - XX[0, 0] if XX.shape[1] > 1 else 0.0\n",
    "    dy = YY[1, 0] - YY[0, 0] if YY.shape[0] > 1 else 0.0\n",
    "    dA = dx * dy\n",
    "\n",
    "    A = np.count_nonzero(mask) * dA\n",
    "    if A == 0:\n",
    "        return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n",
    "\n",
    "    x_vals = XX[mask]\n",
    "    y_vals = YY[mask]\n",
    "    x_c = np.sum(x_vals * dA) / A\n",
    "    y_c = np.sum(y_vals * dA) / A\n",
    "\n",
    "    x_shift = x_vals - x_c\n",
    "    y_shift = y_vals - y_c\n",
    "\n",
    "    I_x = np.sum((y_shift**2) * dA)\n",
    "    I_y = np.sum((x_shift**2) * dA)\n",
    "    I_xy = np.sum((x_shift * y_shift) * dA)\n",
    "    J = I_x + I_y\n",
    "\n",
    "    return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n",
    "\n",
    "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n",
    "    A_total = width ** 2\n",
    "    shell_thickness = 2 * layer_width * shell_layers\n",
    "    A_shell = A_total - (width - shell_thickness) ** 2\n",
    "    r = (A_total / A_shell) ** (1 / (steps - 1))\n",
    "    return [(A_shell * r**i - A_shell) / (A_total - A_shell) for i in range(steps)]\n",
    "\n",
    "def cubic_corner_infill_rectangular_with_shell_fractional(\n",
    "    width=20.0,\n",
    "    height=20.0,\n",
    "    spacing=5.0,\n",
    "    infill_fraction=1.0,\n",
    "    line_thickness=0.2,\n",
    "    z_height=0.0,\n",
    "    shell_layers=3,\n",
    "    layer_width=0.4,\n",
    "    plot=True\n",
    "):\n",
    "    N = 400\n",
    "    xs = np.linspace(-width / 2, width / 2, N)\n",
    "    ys = np.linspace(-height / 2, height / 2, N)\n",
    "    XX, YY = np.meshgrid(xs, ys)\n",
    "    Z = z_height\n",
    "\n",
    "    def dist_mod(coord, spc):\n",
    "        remainder = np.mod(coord, spc)\n",
    "        return np.minimum(remainder, spc - remainder)\n",
    "\n",
    "    effective_spacing = spacing / np.sqrt(infill_fraction) if infill_fraction > 0 else 1e6\n",
    "\n",
    "    dist1 = dist_mod(XX + YY, effective_spacing)\n",
    "    dist2 = dist_mod(XX + Z, effective_spacing)\n",
    "    dist3 = dist_mod(YY + Z, effective_spacing)\n",
    "\n",
    "    pattern_mask = (\n",
    "        (dist1 < line_thickness) |\n",
    "        (dist2 < line_thickness) |\n",
    "        (dist3 < line_thickness)\n",
    "    )\n",
    "\n",
    "    if infill_fraction >= 1.0:\n",
    "        pattern_mask = np.ones_like(pattern_mask, dtype=bool)\n",
    "\n",
    "    shell_thickness = shell_layers * layer_width\n",
    "    outer_rect = (\n",
    "        (np.abs(XX) <= width / 2) &\n",
    "        (np.abs(YY) <= height / 2)\n",
    "    )\n",
    "    inner_rect = (\n",
    "        (np.abs(XX) <= (width / 2 - shell_thickness)) &\n",
    "        (np.abs(YY) <= (height / 2 - shell_thickness))\n",
    "    )\n",
    "\n",
    "    shell_mask = outer_rect & (~inner_rect)\n",
    "    infill_mask = pattern_mask & inner_rect\n",
    "    final_mask = shell_mask | infill_mask\n",
    "\n",
    "    total_moments = compute_area_moments(XX, YY, final_mask)\n",
    "    shell_moments = compute_area_moments(XX, YY, shell_mask)\n",
    "    infill_area = total_moments[\"A\"] - shell_moments[\"A\"]\n",
    "\n",
    "    if plot:\n",
    "        plt.figure()\n",
    "        pattern_img = np.where(final_mask, 1.0, np.nan)\n",
    "        plt.imshow(pattern_img, origin='lower', extent=[-width / 2, width / 2, -height / 2, height / 2])\n",
    "        plt.title(f'Cubic Infill @ {infill_fraction*100:.1f}%, shell={shell_layers}×{layer_width}mm')\n",
    "        plt.xlabel('X')\n",
    "        plt.ylabel('Y')\n",
    "        plt.axis('equal')\n",
    "        plt.grid(True)\n",
    "        plt.show()\n",
    "\n",
    "    print(f\"==== Infill {infill_fraction*100:.1f}% ====\")\n",
    "    print(f\"Total Area            = {total_moments['A']:.4f}\")\n",
    "    print(f\"Shell Area            = {shell_moments['A']:.4f}\")\n",
    "    print(f\"Infill Area           = {infill_area:.4f}\")\n",
    "    print(f\"Centroid (x_c, y_c)   = ({total_moments['x_c']:.4f}, {total_moments['y_c']:.4f})\")\n",
    "    print(f\"I_x                   = {total_moments['I_x']:.4f}\")\n",
    "    print(f\"I_y                   = {total_moments['I_y']:.4f}\")\n",
    "    print(f\"I_xy                  = {total_moments['I_xy']:.4f}\")\n",
    "    print(f\"Polar moment J        = {total_moments['J']:.4f}\")\n",
    "    print()\n",
    "\n",
    "# --- RUN SIMULATION ---\n",
    "if __name__ == \"__main__\":\n",
    "    width = 10\n",
    "    shell_layers = 2\n",
    "    layer_width = 0.42\n",
    "    spacing = 3.0\n",
    "    line_thickness = 0.42  # realistic for a 0.4 mm nozzle\n",
    "    steps = 5\n",
    "\n",
    "    fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=steps)\n",
    "\n",
    "    for f in fractions:\n",
    "        cubic_corner_infill_rectangular_with_shell_fractional(\n",
    "            width=width,\n",
    "            height=width,\n",
    "            spacing=spacing,\n",
    "            infill_fraction=f,\n",
    "            line_thickness=line_thickness,\n",
    "            z_height=22.65,\n",
    "            shell_layers=shell_layers,\n",
    "            layer_width=layer_width,\n",
    "            plot=True\n",
    "        )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8c1f08b2-609a-4625-82d0-c3b68d578f30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 0.0% ====\n",
      "Total Area            = 118.3510\n",
      "Shell Area            = 90.6929\n",
      "Infill Area           = 27.6581\n",
      "I_x                   = 5758.9127\n",
      "I_y                   = 5758.9127\n",
      "I_xy                  = -0.0000\n",
      "Polar moment J        = 11517.8255\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 13.1% ====\n",
      "Total Area            = 169.8080\n",
      "Shell Area            = 90.6929\n",
      "Infill Area           = 79.1151\n",
      "I_x                   = 7237.4443\n",
      "I_y                   = 7237.4443\n",
      "I_xy                  = 0.0000\n",
      "Polar moment J        = 14474.8886\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 32.2% ====\n",
      "Total Area            = 216.1192\n",
      "Shell Area            = 90.6929\n",
      "Infill Area           = 125.4263\n",
      "I_x                   = 8591.1870\n",
      "I_y                   = 8591.1870\n",
      "I_xy                  = -0.0000\n",
      "Polar moment J        = 17182.3741\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 59.9% ====\n",
      "Total Area            = 257.2848\n",
      "Shell Area            = 90.6929\n",
      "Infill Area           = 166.5919\n",
      "I_x                   = 9774.6930\n",
      "I_y                   = 9774.6930\n",
      "I_xy                  = 0.0000\n",
      "Polar moment J        = 19549.3860\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==== Infill 100.0% ====\n",
      "Total Area            = 293.3047\n",
      "Shell Area            = 90.6929\n",
      "Infill Area           = 202.6118\n",
      "I_x                   = 10715.9519\n",
      "I_y                   = 10715.9519\n",
      "I_xy                  = 0.0000\n",
      "Polar moment J        = 21431.9039\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def compute_area_moments(XX, YY, mask):\n",
    "    dx = XX[0, 1] - XX[0, 0] if XX.shape[1] > 1 else 0.0\n",
    "    dy = YY[1, 0] - YY[0, 0] if YY.shape[0] > 1 else 0.0\n",
    "    dA = dx * dy\n",
    "\n",
    "    A = np.count_nonzero(mask) * dA\n",
    "    if A == 0:\n",
    "        return {\"A\": 0.0, \"x_c\": 0.0, \"y_c\": 0.0, \"I_x\": 0.0, \"I_y\": 0.0, \"I_xy\": 0.0, \"J\": 0.0}\n",
    "\n",
    "    x_vals = XX[mask]\n",
    "    y_vals = YY[mask]\n",
    "    x_c = np.sum(x_vals * dA) / A\n",
    "    y_c = np.sum(y_vals * dA) / A\n",
    "\n",
    "    x_shift = x_vals - x_c\n",
    "    y_shift = y_vals - y_c\n",
    "\n",
    "    I_x = np.sum((y_shift**2) * dA)\n",
    "    I_y = np.sum((x_shift**2) * dA)\n",
    "    I_xy = np.sum((x_shift * y_shift) * dA)\n",
    "    J = I_x + I_y\n",
    "\n",
    "    return {\"A\": A, \"x_c\": x_c, \"y_c\": y_c, \"I_x\": I_x, \"I_y\": I_y, \"I_xy\": I_xy, \"J\": J}\n",
    "\n",
    "def geometric_infill_fractions(width, layer_width, shell_layers, steps=5):\n",
    "    A_total = width ** 2\n",
    "    shell_thickness = 2 * layer_width * shell_layers\n",
    "    A_shell = A_total - (width - shell_thickness) ** 2\n",
    "    r = (A_total / A_shell) ** (1 / (steps - 1))\n",
    "\n",
    "    fractions = []\n",
    "    for i in range(steps):\n",
    "        A_i = A_shell * (r ** i)\n",
    "        f = (A_i - A_shell) / (A_total - A_shell)\n",
    "        fractions.append(f)\n",
    "    return fractions\n",
    "\n",
    "def grid_infill_rectangular_with_shell(width, height, spacing, infill_fraction,\n",
    "                                       line_thickness, shell_layers, layer_width, plot=True):\n",
    "    N = 400\n",
    "    xs = np.linspace(-width / 2, width / 2, N)\n",
    "    ys = np.linspace(-height / 2, height / 2, N)\n",
    "    XX, YY = np.meshgrid(xs, ys)\n",
    "\n",
    "    def dist_mod(coord, spc):\n",
    "        remainder = np.mod(coord, spc)\n",
    "        return np.minimum(remainder, spc - remainder)\n",
    "\n",
    "    effective_spacing = spacing / np.sqrt(infill_fraction) if infill_fraction > 0 else 1e6\n",
    "    dist_x = dist_mod(XX, effective_spacing)\n",
    "    dist_y = dist_mod(YY, effective_spacing)\n",
    "    pattern_mask = (dist_x < line_thickness) | (dist_y < line_thickness)\n",
    "\n",
    "    shell_thickness = shell_layers * layer_width\n",
    "    outer_rect = (np.abs(XX) <= width / 2) & (np.abs(YY) <= height / 2)\n",
    "    inner_rect = (np.abs(XX) <= (width / 2 - shell_thickness)) & (np.abs(YY) <= (height / 2 - shell_thickness))\n",
    "\n",
    "    shell_mask = outer_rect & (~inner_rect)\n",
    "    infill_mask = pattern_mask & inner_rect\n",
    "    final_mask = shell_mask | infill_mask\n",
    "\n",
    "    total_moments = compute_area_moments(XX, YY, final_mask)\n",
    "    shell_moments = compute_area_moments(XX, YY, shell_mask)\n",
    "    infill_area = total_moments[\"A\"] - shell_moments[\"A\"]\n",
    "\n",
    "    if plot:\n",
    "        plt.figure()\n",
    "        pattern_img = np.where(final_mask, 1.0, np.nan)\n",
    "        plt.imshow(pattern_img, origin='lower', extent=[-width / 2, width / 2, -height / 2, height / 2])\n",
    "        plt.title(f\"Infill={infill_fraction*100:.1f}%, Shell={shell_layers}×{layer_width}mm\")\n",
    "        plt.xlabel(\"X\")\n",
    "        plt.ylabel(\"Y\")\n",
    "        plt.axis(\"equal\")\n",
    "        plt.grid(True)\n",
    "        plt.show()\n",
    "\n",
    "    print(f\"==== Infill {infill_fraction*100:.1f}% ====\")\n",
    "    print(f\"Total Area            = {total_moments['A']:.4f}\")\n",
    "    print(f\"Shell Area            = {shell_moments['A']:.4f}\")\n",
    "    print(f\"Infill Area           = {infill_area:.4f}\")\n",
    "    print(f\"I_x                   = {total_moments['I_x']:.4f}\")\n",
    "    print(f\"I_y                   = {total_moments['I_y']:.4f}\")\n",
    "    print(f\"I_xy                  = {total_moments['I_xy']:.4f}\")\n",
    "    print(f\"Polar moment J        = {total_moments['J']:.4f}\")\n",
    "    print()\n",
    "\n",
    "    return total_moments\n",
    "\n",
    "# ---- Run 5 levels with geometric infill growth ----\n",
    "if __name__ == \"__main__\":\n",
    "    width = 20.0\n",
    "    shell_layers = 3\n",
    "    layer_width = 0.4\n",
    "    spacing = 2.0\n",
    "    line_thickness = 0.4\n",
    "\n",
    "    fractions = geometric_infill_fractions(width, layer_width, shell_layers, steps=5)\n",
    "\n",
    "    for f in fractions:\n",
    "        grid_infill_rectangular_with_shell(\n",
    "            width=width,\n",
    "            height=width,\n",
    "            spacing=spacing,\n",
    "            infill_fraction=f,\n",
    "            line_thickness=line_thickness,\n",
    "            shell_layers=shell_layers,\n",
    "            layer_width=layer_width,\n",
    "            plot=True\n",
    "        )\n"
   ]
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   "outputs": [],
   "source": []
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