OpenMC_NEA_Training_nov25/course/student_notebooks/advanced-geometry/AdvancedGeometry.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "aea362c7-5622-4f5d-8a19-d30399ff922c",
   "metadata": {},
   "source": [
    "# Advanced Geometry\n",
    "\n",
    "When working on the pincell geometry before, we saw how to create cells that are composed of Boolean combinations from surface half-spaces. In principle, this is enough to create pretty much any geometry. However, there are a number of additional functions and classes in the Python API that can greatly simplify how a model is built."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9fb8f799-db78-4df0-aadf-ed8c52f71fdb",
   "metadata": {},
   "source": [
    "## Composite Surfaces\n",
    "\n",
    "When you create a surface in OpenMC, you get an instance of whatever class you specified. For example, if you call `openmc.XPlane(-5)`, you'll get an `XPlane` object. OpenMC also has several classes that act as \"composite\" surfaces. What this means is that they can be treated like normal surfaces such that you can use `-` and `+`, but the regions returned by these operators actually are composed from multiple primitive surfaces (planes, quadric, etc.). In this manner, they are equivalent to macrobodies in MCNP.\n",
    "\n",
    "The currently available list of [composite surfaces](https://docs.openmc.org/en/stable/pythonapi/model.html#composite-surfaces) is as follows:\n",
    "\n",
    "- `openmc.model.ConicalFrustum`\n",
    "- `openmc.model.CruciformPrism`\n",
    "- `openmc.model.CylinderSector`\n",
    "- `openmc.model.HexagonalPrism`\n",
    "- `openmc.model.IsogonalOctagon`\n",
    "- `openmc.model.OrthogonalBox`\n",
    "- `openmc.model.Polygon`\n",
    "- `openmc.model.RectangularParallelepiped`\n",
    "- `openmc.model.RectangularPrism`\n",
    "- `openmc.model.RightCircularCylinder`\n",
    "- `openmc.model.Vessel`\n",
    "- `openmc.model.XConeOneSided`\n",
    "- `openmc.model.YConeOneSided`\n",
    "- `openmc.model.ZConeOneSided`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0f95a1bc-98d6-47b4-99c8-47537365c5e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import openmc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "76cc3fb9-101b-4a50-bf94-a907f64c8711",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Ou+m1oUg5PfeC5gLmtddeQ0REhKfLcAk9NxY5R+89oKmA2bFjBz777DPk5+d7uhSX0XuDUdu8Yew1EzB1dXVIT0/H+vXr0blzZ6fWsVqtsFgsdpMaeUOjkT1vGXNNBIwQAjNnzkRGRgYeffRRp9fLy8uDyWSyTVFRURKr7BhvaTjyrrH2aMAsWrQIBoPB4XTq1CmsWrUKDQ0NyMnJUbT9nJwcmM1m21RVVSXpSFzDmxrPW3nbGBuEEMJTO6+vr8eVK1ccLhMXF4dnnnkGf/3rX2EwGGzzm5qa4Ovri6lTp+K9995zan8WiwUmkwlmsxnBwcEdql2m7XsmeboEkkDt4SLj/eHRgHHW+fPn7e6f1NTUYMyYMdiyZQuSk5MRGRnp1Ha0EjAAQ0Zv1B4ugJz3RyeXbEWy6Ohou5+7du0KAIiPj3c6XLRm3MhihoxOaCFcZNHETV5v5c2NqRfePoaaDJjY2FgIIZCUlOTpUqTz9gbVMo6dRgPG27BRtYdjdgsDRiPYsNrBsfoBA0ZD2LjqxzGyx4DRGDawenFsWmLAaBAbWX04Jq1jwGgUG1o9OBZtY8BoGBvb8zgGjjFgNI4N7jk89/fGgNEBNrr78Zw7hwGjE2x49+G5dh4DRkfY+PLxHCvDgNEZvgHk4blVThOPa3CV24++UeuzeV3l8cHv4rN90z1dhq48+fifdd83t4/PlY+I8qqAuf30PDU/m5fUyuTpAtzmypUrMJlcc7xeFTDdunUDcOsJea46gZ5gsVgQFRWFqqoq1T+ZzxEeh7qYzWZER0fb3ieu4FUB4+Nz65aTyWTSdCPcFhwczONQEb0cx+33iUu25bItERHdhQFDRNJ4VcD4+/sjNzcX/v7+ni6lQ3gc6sLjaJsm/mwJEWmTV13BEJF7MWCISBoGDBFJw4AhIml0HTCxsbEwGAx204oVKxyuc/36dWRmZqJ79+7o2rUrfvazn6Gurs5NFbdUWVmJ2bNno0+fPggMDER8fDxyc3PR2NjocL3U1NQWx56RkeGmqn+wevVqxMbGIiAgAMnJyTh06JDD5YuLi9GvXz8EBARg4MCB2L59u5sqbV1eXh6GDBmCoKAghIWFYeLEiTh9+rTDddatW9fi3AcEBLip4tYtWbKkRU39+vVzuI5LxkLoWExMjFi6dKm4ePGibbp69arDdTIyMkRUVJQoKSkRhw8fFo899phISUlxU8Ut7dixQ8ycOVP8/e9/F2fPnhVbt24VYWFhYsGCBQ7XGzlypEhPT7c7drPZ7Kaqb9m0aZMwGo2isLBQnDhxQqSnp4uQkBBRV1fX6vL79+8Xvr6+4s033xRff/21WLx4sfDz8xPHjh1za913GjNmjCgqKhLHjx8X5eXlYty4cSI6OtphHxUVFYng4GC7c19bW+vGqlvKzc0V/fv3t6upvr6+zeVdNRa6D5iVK1c6vfx3330n/Pz8RHFxsW3eyZMnBQBRWloqocL2efPNN0WfPn0cLjNy5EjxyiuvuKegNgwdOlRkZmbafm5qahIREREiLy+v1eWfeeYZMX78eLt5ycnJYs6cOVLrVOLSpUsCgNizZ0+byxQVFQmTyeS+opyQm5srHnroIaeXd9VY6PpXJABYsWIFunfvjsGDB+PXv/41bt682eayZWVluHHjBtLS0mzz+vXrh+joaJSWlrqjXKeYzWanvpC2ceNG9OjRAwMGDEBOTg6+//57N1R3S2NjI8rKyuzOpY+PD9LS0to8l6WlpXbLA8CYMWNUd+4B3PP8X716FTExMYiKisJPf/pTnDhxwh3lOXTmzBlEREQgLi4OU6dOxfnz59tc1lVjoesvO7788st4+OGH0a1bNxw4cAA5OTm4ePEi3nrrrVaXr62thdFoREhIiN388PBw1NbWuqHie6uoqMCqVauQn5/vcLkpU6YgJiYGERER+Pe//42FCxfi9OnT+Mtf/uKWOi9fvoympiaEh4fbzQ8PD8epU6daXae2trbV5dVy7pubm5GdnY3hw4djwIABbS6XmJiIwsJCDBo0CGazGfn5+UhJScGJEycQGRnpxop/kJycjHXr1iExMREXL17EG2+8gR/96Ec4fvw4goKCWizvsrFQdL2jAgsXLhQAHE4nT55sdd13331XdOrUSVy/fr3V1zdu3CiMRmOL+UOGDBGvvfaax4/jwoULIj4+XsyePVvx/kpKSgQAUVFR4apDcKi6uloAEAcOHLCb/+qrr4qhQ4e2uo6fn594//337eatXr1ahIWFSatTiYyMDBETEyOqqqoUrdfY2Cji4+PF4sWLJVWm3LfffiuCg4PFO++80+rrrhoLzV3BLFiwADNnznS4TFxcXKvzk5OTcfPmTVRWViIxMbHF67169UJjYyO+++47u6uYuro69OrVqyNlt6D0OGpqajBq1CikpKTgj3/8o+L9JScnA7h1BRQfH694faV69OgBX1/fFp/AOTqXvXr1UrS8O2VlZWHbtm3Yu3ev4qsQPz8/DB48GBUVFZKqUy4kJAR9+/ZtsyaXjUW7I1CDNmzYIHx8fMR///vfVl+/fZN3y5YttnmnTp3y+E3eCxcuiPvvv188++yz4ubNm+3axr59+wQAcfToURdX17ahQ4eKrKws289NTU3ivvvuc3iTd8KECXbzhg0b5tGbvM3NzSIzM1NERESI//znP+3axs2bN0ViYqKYN2+ei6trv4aGBhEaGip++9vftvq6q8ZCtwFz4MABsXLlSlFeXi7Onj0rNmzYIHr27CmmT59uW+bChQsiMTFRHDx40DYvIyNDREdHi3/84x/i8OHDYtiwYWLYsGGeOARbjQkJCWL06NHiwoULdh8z3rnMncdRUVEhli5dKg4fPizOnTsntm7dKuLi4sSIESPcWvumTZuEv7+/WLdunfj666/FCy+8IEJCQmwf2U6bNk0sWrTItvz+/ftFp06dRH5+vjh58qTIzc31+MfUc+fOFSaTSezevdvu3H///fe2Ze4+jjfeeMP2zwrKysrEs88+KwICAsSJEyc8cQhCCCEWLFggdu/eLc6dOyf2798v0tLSRI8ePcSlS5eEEPLGQrcBU1ZWJpKTk4XJZBIBAQHigQceEMuXL7e7/3Lu3DkBQPzzn/+0zfvf//4nXnzxRREaGio6d+4snn76abs3s7sVFRW1eY/mtruP4/z582LEiBGiW7duwt/fXyQkJIhXX33V7f8ORgghVq1aJaKjo4XRaBRDhw4VX375pe21kSNHihkzZtgt/+GHH4q+ffsKo9Eo+vfvL/72t7+5uWJ7bZ37oqIi2zJ3H0d2drbtmMPDw8W4cePEkSNH3F/8HSZPnix69+4tjEajuO+++8TkyZPt7sfJGgs+roGIpNH9v4MhIs9hwBCRNAwYIpKGAUNE0jBgiEgaBgwRScOAISJpGDAkRWVlpe3JaUlJSVL3decT5LKzs6Xui5RhwJBUn3/+OUpKSqTuY/Lkybh48SKGDRsmdT+knOa+TU3a0r17d3Tv3l3qPgIDAxEYGAij0Sh1P6Qcr2Donurr69GrVy8sX77cNu/AgQMwGo3tujopLCxE//794e/vj969eyMrK8v2msFgwNq1azFhwgR07twZDzzwAEpLS1FRUYHU1FR06dIFKSkpOHv2rEuOjeRiwNA99ezZE4WFhViyZAkOHz6MhoYGTJs2DVlZWRg9erSiba1ZswaZmZl44YUXcOzYMXz66adISEiwW2bZsmWYPn06ysvL0a9fP0yZMgVz5sxBTk4ODh8+DCGEXSiRinXoK5rkVV588UXRt29fMWXKFDFw4MA2nwwoxA/f8P7qq6/s5kdERIjXX3+9zfUA2D35rbS0VAAQ7777rm3eBx98IAICAlqsq4YHnZM9XsGQ0/Lz83Hz5k0UFxdj48aN8Pf3V7T+pUuXUFNTc8+rnkGDBtn++/ZzYQcOHGg37/r167BYLIr2T+7HgCGnnT17FjU1NWhubkZlZaXi9QMDA51azs/Pz/bfBoOhzXnNzc2KayD3YsCQUxobG/Hcc89h8uTJWLZsGX7xi1/g0qVLirYRFBSE2NhY6R9bk3rwY2pyyuuvvw6z2Yy3334bXbt2xfbt2/H8889j27ZtirazZMkSZGRkICwsDE899RQaGhqwf/9+vPTSS5IqJ0/iFQzd0+7du1FQUID169cjODgYPj4+WL9+Pb744gusWbNG0bZmzJiBgoIC/P73v0f//v0xYcIEnDlzRlLl5Gl8ZCZJUVlZiT59+uCrr76S/lWB21JTU5GUlISCggK37I/ujVcwJFVKSgpSUlKk7mPjxo3o2rUrvvjiC6n7IeV4BUNS3P4DdwDg7++PqKgoaftqaGiw/ZGwkJAQ9OjRQ9q+SBkGDBFJw1+RiEgaBgwRScOAISJpGDBEJA0DhoikYcAQkTQMGCKShgFDRNIwYIhImv8Dx7U5L9B5AQQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "octagon = openmc.model.IsogonalOctagon((0.,0.), 5.0, 5.0)\n",
    "(-octagon).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d19f6309-ad5e-4d0c-97f3-5c39e1202a9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "box = openmc.model.RectangularPrism(1.26, 1.26)\n",
    "(-box).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "8cb74521-9750-4d46-9f29-2ba868310ae3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "composite = -octagon & +box\n",
    "composite.plot(width=(10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b9641557-a196-4f0a-9d41-ebf3819900d8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "14661d11-757e-4140-abc0-1637bdbb1766",
   "metadata": {},
   "source": [
    "## Pin geometries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "7b77baee-5885-4a75-8d52-ba71392c110b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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h2vh57x+g7EVvNAtm8+bNqK2txaxZs7BhwwZkZGTghhtuwMaNG3Hu3DkeMerOmeRlokPoEZX77DwkoHLWosK1PJPCp3yDGoMZMGAA5s6di8rKSnzyySfIzMzE1KlTkZqaijlz5uDo0aN6x0nohFF3aL2yDSOyFjeUvehPSG9T19fXY/v27di+fTvCw8Nx4403Yv/+/bj88svx9NNPY86cOXrFSShKZzn09OU8lTMVois2FugLRv/j3Llz2Lp1K8rKyvD+++9j1KhRuPfeezFlyhTEx8cDADZt2oR77rlH0xvYRuB0OmG32zF/xM3o2/SE7vvn8coAr/eS6BcfveGVvfDoHvEY4D2TsgRn285hyYGtcDgcnrYcKpozmJSUFLS3t+O3v/0tPv30U4wePbrLOhMmTEBCQoIO4REEoTKax2CWLVuGuro6rFy50qdcACAhISGoFySNhNeglirQeMOPWL0seLYFzYKZOnUqoqOjecSiPDxSV55PIKzesAC+ZaBK94gn9E1egiC4QYJRAMpi+KBa9qIilhYMj76naiksYE3JqHjOvJ4e8cTSglEJ3ndEFRtcsPA+V8pefoQEQ3iwgmSscI4yQYLhAK9ukhF3RjM3QCPOjdc1UrHrDZBgLP99GF+YUTJmPKdQMaLuW14wqmFU/95MDdKoc6Gxl66QYDjBM6U1UjIqi8bI+HleE1W7RwAJBgB1k3pCRcmoGLORGFXnSTAcMUMW40aVbEZEnJS9+IcE8z9UzGJE9PllFY2ouFQcdzGyrishmOrqasyYMQODBw9GTEwMhg4dipKSErS2tooOrUdUvwP5QxbRyBIHD8xQd0Ka0c4oDh8+jPb2dqxevRqZmZk4cOAAZs6cie+//x5Lly4VHZ5QHs5I5DYpVSC4G7fRE1jJIBUVsxej0TyjnSw888wzWLVqFY4fPx7wNh1ntIsOj/C5Tmw9n99b5jHbXUdESqYzvGQjg1Tc8JYLr+ylu+6RFDPayYLD4UDfvn27XcflcsHlcnn+73Q6eYclDNGZTEd8iUCrdGSSSWcocwkcJQVTVVWFFStW9Ng9Ki0txaJFizTt+0zKEi5ZTMrEd7hnMTJJpjMyC0MLRshFRPbCC6GDvPPnz4fNZuv2c/jwYa9tamtr8Ytf/AK/+c1vMHPmzG73X1xcDIfD4fnU1NTwPJ0eMWLQju6u/FBZLqIQmsHMmzcP06dP73adIUOGeP5dV1eHCRMmICcnBy+88EKP+4+KikJUVFSoYSqHzJmMqpC4g0OoYAYMGIABAwYEtG5tbS0mTJiAq6++GmVlZQgL45d88eomAcZ0lQCSjJ4YJRee2Yuo73kp8T2Y2tpa5ObmIj09HUuXLkVzczMaGhrQ0NAgOrSgMCoNprtu6JhBLiJRQjDbt29HVVUVysvLMXDgQKSkpHg+vFDxm72+IMkEj1nKTmRdVkIw06dPB2PM50dVjLxjmaWhGImRZWbW7AVQRDCi4G1+koycmEkuojNxJb8HYyQ8B3yNxt1waPDXN2aTsGi5AJTBCEdEemy2hqQHIsrEzF0jNySYADBTV8nNwxmJJBqIKwezd43ckGAkQdTdzMqSEXXuVshc3JBgAsSIO4JIyVhJNCLP14hrLEv2ApBgNGFmyQDmF43o87OaXAB6ikT4wGxPm8wsTdmhDEYjZs9iOiL6jh8qMsVvxewFoAxGWox6KTIQOjZS2bMaWYTSEVluGCIgwQSBUV++k0kybmSUjYxScWOUXGTMXgASTNBYWTJuOjdso4Qjs1A6YnW5ACSYkDBSMgD/icNDxVfDD1U6qsikI0Z2iWSWC0CCUQqZsxl/qCiIULDyeIsv6ClSiBh9B6EKLC9GXxvZsxeABKMLJBmC5OIbEoxOkGSsC8nFPzQGoyNGzx2jyuCvWREheZXkAlAGYwoomzEeKvPAoAxGZ0TNgEfZjDGIFItq2QtAGQwXRFYEurPyw+xyuWTtE7rvkzIYToicy5eyGX0RLW0VMxc3lsxgeJjaF6IrhuiGYQZEl6FRdShrw/9x2a8lBQPwK9DOyCAZ0Y1ERWQoN9XlAlhYMIB1JAPI0WBUQJZyMoNcABqDMQxZfl+Jxmd8I4NU3MhwQ9ILS2cwgHFZDCBXxZHlTi0a2crByDpiRN2nDAYXCvpI/gJDjiVLJuOmY+OySlYjk1A6Yja5ACQYD1aWjBszy0ZWqbgxo1wABQXjcrmQnZ2NyspKfPHFFxg9erRu+zZaMgCkFA1gDtnILhXA+G6zkXIBFBTMo48+itTUVFRWVooORRdkzWY6opJsVJCKG5nG5HihlGC2bduG999/H2+99Ra2bdvG5RhGZjFuVJCMG18NWJR0VJJJZ0TIxejsBVBIMI2NjZg5cyY2b96M2NjYgLZxuVxwuVye/zudzoC2I8low19D10s8KovEF1aRC6CIYBhjmD59OgoKCnDNNdeguro6oO1KS0uxaNGioI4pSjKAvOMyWjGbGEJFVJdIlFwAwd+DmT9/Pmw2W7efw4cPY8WKFTh9+jSKi4s17b+4uBgOh8Pzqamp0bS9qAtjhb651bCiXADAxhhjog7e3NyMb775ptt1hgwZgttuuw1/+9vfYLPZPMvb2toQHh6OO+64A6+88kpAx3M6nbDb7Xh572eI7d074DiNzmTcmCWTsTqqyOVMSwtmXDMGDocD8fHxusQgVDCBcvLkSa/xk7q6OkyaNAkbN25EdnY2Bg4cGNB+ghUMIE4yAIlGVURmosFkLjwEo8QYTHp6utf/e/9PDkOHDg1YLqEiYkzGjdnGZsyO6C6u6G5RRyz/LpIWRF840RWX6BnR10h0He2MEhlMZzIyMiCqZycykwEom5EV0WIB5JMLQBlMUMhwIc+kLJGiUlsdWa6DDHXSFySYIJHlgspQua2KLGUvS130BQkmBGS5sLLcRa2CTOUtSx30BwkmRGS6wDJVfDMiW/nKVPf8oeQgr2yIHvjtTMdGQIPBoSGTUDqiglwAEoxuuC+4TKIB6KlTsJBY9IEEozOyZTNuKKvpGVml4kY1uQA0BsMF2SuCbGMJolGhPGSvU/6gDIYTsmYyHbFyViO7UDqiqlwAEgxXZB2X8UXnBmc24agkFDcqi8UNCcYAVMhmOqO6cFQUSkfMIBeABGMYKkqmI74arCzSUV0mnTGLXACLCcb9guQPLS1Cjp/28oUGeXT6YiHH15uzif7PI7Zhjq7HOpO8zP8f23Q9lDAuWfsEgAvzsojA3S70fJFYiQmn9OL48eMYOnSo6DAIQmqOHTuGIUOG6LIvS2Uwffv2BXBhhjy73S44muBxOp1IS0tDTU2NbjOPiYDOQy4cDgfS09M97UQPLCWYsLALX/ux2+1KVwQ38fHxdB4SYZbzcLcTXfal254IgiA6QYIhCIIblhJMVFQUSkpKEBUVJTqUkKDzkAs6D/9Y6ikSQRDGYqkMhiAIYyHBEATBDRIMQRDcIMEQBMENUwsmIyMDNpvN67NkSfcvxp09exaFhYXo168fevfujV//+tdobGw0KOKuVFdXY8aMGRg8eDBiYmIwdOhQlJSUoLW1tdvtcnNzu5x7QUGBQVH/yMqVK5GRkYHo6GhkZ2fj008/7Xb9N998E8OGDUN0dDRGjhyJd99916BIfVNaWooxY8YgLi4OiYmJuOWWW3DkyJFut1m7dm2Xso+OjjYoYt8sXLiwS0zDhg3rdhtdrgUzMYMGDWJPPvkkq6+v93xaWlq63aagoIClpaWx8vJytnfvXvaTn/yE5eTkGBRxV7Zt28amT5/O/v73v7Njx46xLVu2sMTERDZv3rxut7vuuuvYzJkzvc7d4XAYFPUF1q9fzyIjI9maNWvYwYMH2cyZM1lCQgJrbGz0uf6uXbtYeHg4e/rpp9mXX37JFixYwCIiItj+/fsNjbsjkyZNYmVlZezAgQNs37597MYbb2Tp6end1qOysjIWHx/vVfYNDQ0GRt2VkpISNnz4cK+Ympub/a6v17UwvWCWLVsW8Prfffcdi4iIYG+++aZn2aFDhxgAtmfPHg4RBsfTTz/NBg8e3O061113HXv44YeNCcgPY8eOZYWFhZ7/t7W1sdTUVFZaWupz/dtuu41NnjzZa1l2dja7//77ucaphaamJgaAffDBB37XKSsrY3a73bigAqCkpIRdccUVAa+v17UwdRcJAJYsWYJ+/frhyiuvxDPPPIPz58/7XbeiogLnzp1DXl6eZ9mwYcOQnp6OPXv2GBFuQDgcjoBeSFu3bh369++PESNGoLi4GGfOnDEgugu0traioqLCqyzDwsKQl5fntyz37NnjtT4ATJo0SbqyB9Bj+be0tGDQoEFIS0vDr371Kxw8eNCI8Lrl6NGjSE1NxZAhQ3DHHXfg5MmTftfV61qY+mXHhx56CFdddRX69u2L3bt3o7i4GPX19Xj22Wd9rt/Q0IDIyEgkJCR4LU9KSkJDQ4MBEfdMVVUVVqxYgaVLl3a73pQpUzBo0CCkpqbi3//+Nx577DEcOXIEf/3rXw2J8+uvv0ZbWxuSkpK8liclJeHw4cM+t2loaPC5vixl397ejtmzZ+Paa6/FiBEj/K6XlZWFNWvWYNSoUXA4HFi6dClycnJw8OBBDBw40MCIfyQ7Oxtr165FVlYW6uvrsWjRIvzsZz/DgQMHEBcX12V93a6FpnxHAh577DEGoNvPoUOHfG778ssvs4suuoidPXvW59/XrVvHIiMjuywfM2YMe/TRR4Wfx6lTp9jQoUPZjBkzNB+vvLycAWBVVVV6nUK31NbWMgBs9+7dXssfeeQRNnbsWJ/bREREsNdff91r2cqVK1liYiK3OLVQUFDABg0axGpqajRt19rayoYOHcoWLFjAKTLtfPvttyw+Pp699NJLPv+u17VQLoOZN28epk+f3u06/ibLyc7Oxvnz51FdXY2srKwuf09OTkZrayu+++47ryymsbERycnJoYTdBa3nUVdXhwkTJiAnJwcvvPCC5uNlZ2cDuJABGTHpVv/+/REeHt7lCVx3ZZmcnKxpfSMpKirC22+/jZ07d2rOQiIiInDllVeiqqqKU3TaSUhIwKWXXuo3Jt2uRdAKVJDXXnuNhYWFsf/+978+/+4e5N24caNn2eHDh4UP8p46dYpdcskl7Pbbb2fnz58Pah8fffQRA8AqKyt1js4/Y8eOZUVFRZ7/t7W1sYsvvrjbQd6bbrrJa9m4ceOEDvK2t7ezwsJClpqayv7zn/8EtY/z58+zrKwsNmfOHJ2jC57Tp0+zPn36sOeee87n3/W6FqYVzO7du9myZcvYvn372LFjx9hrr73GBgwYwO666y7POqdOnWJZWVnsk08+8SwrKChg6enp7J///Cfbu3cvGzduHBs3bpyIU/DEmJmZySZOnMhOnTrl9Zix4zodz6Oqqoo9+eSTbO/evezEiRNsy5YtbMiQIWz8+PGGxr5+/XoWFRXF1q5dy7788kt23333sYSEBM8j26lTp7L58+d71t+1axe76KKL2NKlS9mhQ4dYSUmJ8MfUs2bNYna7ne3YscOr7M+cOeNZp/N5LFq0yPO1goqKCnb77bez6OhodvDgQRGnwBhjbN68eWzHjh3sxIkTbNeuXSwvL4/179+fNTU1Mcb4XQvTCqaiooJlZ2czu93OoqOj2WWXXcaeeuopr/GXEydOMADsX//6l2fZDz/8wB544AHWp08fFhsby2699Vavxmw0ZWVlfsdo3HQ+j5MnT7Lx48ezvn37sqioKJaZmckeeeQRw78HwxhjK1asYOnp6SwyMpKNHTuWffzxx56/XXfddWzatGle6//lL39hl156KYuMjGTDhw9n77zzjsERe+Ov7MvKyjzrdD6P2bNne845KSmJ3Xjjjezzzz83PvgO5Ofns5SUFBYZGckuvvhilp+f7zUex+ta0HQNBEFww/TfgyEIQhwkGIIguEGCIQiCGyQYgiC4QYIhCIIbJBiCILhBgiEIghskGIIL1dXVnpnTRo8ezfVYHWeQmz17NtdjEdogwRBc+cc//oHy8nKux8jPz0d9fT3GjRvH9TiEdpR7m5pQi379+qFfv35cjxETE4OYmBhERkZyPQ6hHcpgiB5pbm5GcnIynnrqKc+y3bt3IzIyMqjsZM2aNRg+fDiioqKQkpKCoqIiz99sNhtWr16Nm266CbGxsbjsssuwZ88eVFVVITc3F7169UJOTg6OHTumy7kRfCHBED0yYMAArFmzBgsXLsTevXtx+vRpTJ06FUVFRZg4caKmfa1atQqFhYW47777sH//fmzduhWZmZle6yxevBh33XUX9u3bh2HDhmHKlCm4//77UVxcjL1794Ix5iUlQmJCekWTsBQPPPAAu/TSS9mUKVPYyJEj/c4MyNiPb3h/8cUXXstTU1PZ448/7nc7AF4zv+3Zs4cBYC+//LJn2RtvvMGio6O7bCvDROeEN5TBEAGzdOlSnD9/Hm+++SbWrVuHqKgoTds3NTWhrq6ux6xn1KhRnn+754UdOXKk17KzZ8/C6XRqOj5hPCQYImCOHTuGuro6tLe3o7q6WvP2MTExAa0XERHh+bfNZvO7rL29XXMMhLGQYIiAaG1txZ133on8/HwsXrwY9957L5qamjTtIy4uDhkZGdwfWxPyQI+piYB4/PHH4XA48Pzzz6N379549913cc899+Dtt9/WtJ+FCxeioKAAiYmJuOGGG3D69Gns2rULDz74IKfICZFQBkP0yI4dO7B8+XK8+uqriI+PR1hYGF599VV8+OGHWLVqlaZ9TZs2DcuXL8ef/vQnDB8+HDfddBOOHj3KKXJCNDRlJsGF6upqDB48GF988QX3VwXc5ObmYvTo0Vi+fLkhxyN6hjIYgis5OTnIycnheox169ahd+/e+PDDD7keh9AOZTAEF9w/cAcAUVFRSEtL43as06dPe34kLCEhAf379+d2LEIbJBiCILhBXSSCILhBgiEIghskGIIguEGCIQiCGyQYgiC4QYIhCIIbJBiCILhBgiEIghskGIIguPH/E60/f5Svff8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "radii = [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]\n",
    "cyl = [openmc.ZCylinder(r=r) for r in radii]\n",
    "mat = openmc.Material()\n",
    "mat.add_nuclide('U235', 1.0)\n",
    "mats = [mat, None, mat, None, mat, None, mat]\n",
    "pin_universe = openmc.model.pin(cyl, mats)\n",
    "\n",
    "pin_universe.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2b6feb5a-4148-44c4-9197-016fd52b1cb2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# making CAD for openmc is a bit lacking because the CSG system.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c672ce6-dba7-40cf-b267-dbaee10b0266",
   "metadata": {},
   "source": [
    "## Other ways of creating surfaces\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "4935c86b-5576-43bc-bb91-0eaa30f12549",
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = openmc.Plane(1, -1.0, 0, 0)\n",
    "(-p).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "2a3e4de9-2e78-46ca-bc4c-d00ad8a3abdc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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onJycEBcXh+PHjxsdv2fPHowdOxZOTk4YP348PvzwQysl7V9eXh6mTJkCNzc3+Pr6YsGCBThz5ozRZXbs2NHntXdycrJS4v6tXbu2T6axY8caXcYi74UYxkJCQsT69evFhQsX9NOlS5eMLpOWliaCgoJEaWmpqKioED/4wQ9EfHy8lRL3deDAAZGSkiL++te/ivr6erFv3z7h6+srsrOzjS43Y8YMkZqaarDvWq3WSqm/s2vXLuHo6CiKiorEqVOnRGpqqvDw8BBtbW39jj9y5Iiwt7cXL730kvjqq6/EmjVrhIODg6ipqbFq7pvNnj1bFBcXi5MnT4qqqioxd+5cERwcbPT/UXFxsXB3dzd47VtbW62Yuq/c3Fwxbtw4g0wdHR0DjrfUezHsC2bz5s0mj//222+Fg4OD2LNnj37e6dOnBQBRXl4uIeHgvPTSSyIsLMzomBkzZojnnnvOOoEGEBsbK9LT0/WPe3p6REBAgMjLy+t3/M9//nMxb948g3lxcXFi+fLlUnOao729XQAQn3zyyYBjiouLhUajsV4oE+Tm5ooHHnjA5PGWei+G9UckANi0aRNGjRqFiRMn4re//S2uX78+4NjKykpcu3YNiYmJ+nljx45FcHAwysvLrRHXJFqt1qQL0kpKSuDt7Y3o6Gjk5OTgypUrVkj3ne7ublRWVhq8lnZ2dkhMTBzwtSwvLzcYDwCzZ88ecq89gNu+/pcuXUJISAiCgoLwk5/8BKdOnbJGPKPOnj2LgIAAhIeHY9GiRTh37tyAYy31Xgzrix2fffZZTJo0CV5eXjh69ChycnJw4cIFvPzyy/2Ob21thaOjIzw8PAzm+/n5obW11QqJb6+urg5bt25Ffn6+0XELFy5ESEgIAgIC8I9//AOrVq3CmTNn8Oc//9kqOS9evIienh74+fkZzPfz80NtbW2/y7S2tvY7fqi89r29vcjMzMS0adMQHR094LioqCgUFRVhwoQJ0Gq1yM/PR3x8PE6dOoXAwEArJv5eXFwcduzYgaioKFy4cAHr1q3DD3/4Q5w8eRJubm59xlvsvTDreGcIWLVqlQBgdDp9+nS/y77++utixIgR4urVq/0+X1JSIhwdHfvMnzJlinjhhRdsvh/nz58XERERYtmyZWZvr7S0VAAQdXV1ltoFo5qbmwUAcfToUYP5zz//vIiNje13GQcHB/HWW28ZzNu2bZvw9fWVltMcaWlpIiQkRDQ1NZm1XHd3t4iIiBBr1qyRlMx833zzjXB3dxevvfZav89b6r1Q3BFMdnY2UlJSjI4Z6GY5cXFxuH79OhobGxEVFdXneX9/f3R3d+Pbb781OIppa2uDv7//ncTuw9z9aGlpwcyZMxEfH49XX33V7O3FxcUB+O4IyBo33fL29oa9vX2fb+CMvZb+/v5mjbemjIwM7N+/H4cPHzb7KMTBwQETJ05EXV2dpHTm8/DwwJgxYwbMZLH3YtAVqEBvvvmmsLOzE//5z3/6ff7GSd69e/fq59XW1tr8JO/58+fFvffeKx5//HFx/fr1Qa3js88+EwBEdXW1hdMNLDY2VmRkZOgf9/T0iHvuucfoSd758+cbzJs6dapNT/L29vaK9PR0ERAQIP75z38Oah3Xr18XUVFRYuXKlRZON3hdXV3C09NT/P73v+/3eUu9F8O2YI4ePSo2b94sqqqqRH19vXjzzTeFj4+PWLJkiX7M+fPnRVRUlDh27Jh+XlpamggODhYff/yxqKioEFOnThVTp061xS7oM0ZGRopZs2aJ8+fPG3zNePOYm/ejrq5OrF+/XlRUVIiGhgaxb98+ER4eLqZPn27V7Lt27RJqtVrs2LFDfPXVV+Kpp54SHh4e+q9sFy9eLFavXq0ff+TIETFixAiRn58vTp8+LXJzc23+NfWKFSuERqMRZWVlBq/9lStX9GNu3Y9169bpf62gsrJSPP7448LJyUmcOnXKFrsghBAiOztblJWViYaGBnHkyBGRmJgovL29RXt7uxBC3nsxbAumsrJSxMXFCY1GI5ycnMR9990nNm7caHD+paGhQQAQf//73/Xz/vvf/4qnn35aeHp6ChcXF/HTn/7U4IfZ2oqLiwc8R3PDrftx7tw5MX36dOHl5SXUarWIjIwUzz//vNV/D0YIIbZu3SqCg4OFo6OjiI2NFZ9//rn+uRkzZojk5GSD8e+8844YM2aMcHR0FOPGjRN/+ctfrJzY0ECvfXFxsX7MrfuRmZmp32c/Pz8xd+5cceLECeuHv0lSUpIYPXq0cHR0FPfcc49ISkoyOB8n673g7RqISJph/3swRGQ7LBgikoYFQ0TSsGCISBoWDBFJw4IhImlYMEQkDQuGpGhsbNTfOS0mJkbqtm6+g1xmZqbUbZF5WDAk1UcffYTS0lKp20hKSsKFCxcwdepUqdsh8ynuampSllGjRmHUqFFSt+Hs7AxnZ2c4OjpK3Q6Zj0cwdFsdHR3w9/fHxo0b9fOOHj0KR0fHQR2dFBUVYdy4cVCr1Rg9ejQyMjL0z6lUKmzfvh3z58+Hi4sL7rvvPpSXl6Ourg4JCQkYOXIk4uPjUV9fb5F9I7lYMHRbPj4+KCoqwtq1a1FRUYGuri4sXrwYGRkZmDVrllnrKiwsRHp6Op566inU1NTggw8+QGRkpMGYDRs2YMmSJaiqqsLYsWOxcOFCLF++HDk5OaioqIAQwqCUaAi7o0s06a7y9NNPizFjxoiFCxeK8ePHD3hnQCG+v8L7yy+/NJgfEBAgXnzxxQGXA2Bw57fy8nIBQLz++uv6eW+//bZwcnLqs+xQuNE5GeIRDJksPz8f169fx549e1BSUgK1Wm3W8u3t7WhpabntUc+ECRP0/75xX9jx48cbzLt69So6OzvN2j5ZHwuGTFZfX4+Wlhb09vaisbHR7OWdnZ1NGufg4KD/t0qlGnBeb2+v2RnIulgwZJLu7m488cQTSEpKwoYNG/DLX/4S7e3tZq3Dzc0NoaGh0r+2pqGDX1OTSV588UVotVps2bIFrq6u+PDDD/Hkk09i//79Zq1n7dq1SEtLg6+vLx599FF0dXXhyJEjeOaZZyQlJ1viEQzdVllZGQoKCvDGG2/A3d0ddnZ2eOONN/Dpp5+isLDQrHUlJyejoKAAf/jDHzBu3DjMnz8fZ8+elZScbI23zCQpGhsbERYWhi+//FL6pQI3JCQkICYmBgUFBVbZHt0ej2BIqvj4eMTHx0vdRklJCVxdXfHpp59K3Q6Zj0cwJMWNP3AHAGq1GkFBQdK21dXVpf8jYR4eHvD29pa2LTIPC4aIpOFHJCKShgVDRNKwYIhIGhYMEUnDgiEiaVgwRCQNC4aIpGHBEJE0LBgikub/AXwudhd1NL+2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p2 = openmc.Plane.from_points((0,0,0),(0,1,0),(0,0,1))\n",
    "(-p2).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "59c7e733-7db1-4a8c-908f-6ad94cbea6ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# class can be called with from points\n",
    "cyl = openmc.ZCylinder(r=1.0)\n",
    "(-cyl).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "f328e747-f929-490d-867d-2f132b91837b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "translated_cyl = cyl.translate((5,0,0))\n",
    "(-translated_cyl).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "07557e17-adc9-49df-82a4-f035125d1d24",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='y [cm]', ylabel='z [cm]'>"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cyl_rot = cyl.rotate((45,0,0))\n",
    "(-cyl_rot).plot(basis=\"yz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e20624f-ea92-41c5-96c5-cdb3d6e1d46b",
   "metadata": {},
   "source": [
    "## Random sphere packing\n",
    "\n",
    "OpenMC includes a few convenience functions for generating locations of randomly packed spheres that can be used to model TRISO particles and/or pebbles in a reactor core. To be clear, this capability is not a stochastic geometry capability like that included in MCNP. It's also important to note that OpenMC does not use delta tracking, which would normally speed up calculations in geometries with tons of surfaces and cells. However, the computational burden can be eased by placing random spheres in a lattice.\n",
    "\n",
    "This capability relies on three functions/classes:\n",
    "- `openmc.model.pack_spheres` -- generate locations of random spheres\n",
    "- `openmc.model.TRISO` -- Cell-like object that holds a universe storing the internal structure of a pebble/TRISO\n",
    "- `openmc.model.create_triso_lattice` -- Creates a lattice containing `TRISO` objects for improved tracking performance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "2f04a041-8588-4546-bfe8-cf004b0d8859",
   "metadata": {},
   "outputs": [],
   "source": [
    "# over PF of 40 takes a lot of time, over 50 it will block\n",
    "# trasport is expensive, use the create_triso_lattice, improve tracking perfomance\n",
    "# its has to track each sphere neighbouring the particle, so make a create_triso_lattice\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3f2ca974-03b1-4c92-83a2-aab85614c3c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "r_cylinder = 10.\n",
    "h_cylinder = 20.\n",
    "ctlinder = openmc.model.RightCircularCylinder"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}