OpenMC_NEA_Training_nov25/course/live_notebooks/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": 7,
   "id": "b77fbcc3-3af7-42bb-a765-e8c53893f95f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 7,
     "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": [
    "octagon = openmc.model.IsogonalOctagon((0., 0.), 1.0, 1.0)\n",
    "(-octagon).plot(width=(4., 4.))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "41795ef8-aa8b-4ffa-a514-c4723b8c6766",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 11,
     "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, boundary_type='reflective', corner_radius=0.1)\n",
    "(-box).plot(width=(2.0, 2.0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6c9206a0-6fbc-48f5-a9cd-ff94fd08e65d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 15,
     "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": [
    "hexprism = openmc.model.HexagonalPrism(1.5, orientation='x', corner_radius=0.2)\n",
    "(+hexprism).plot(width=(4., 4.))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "ccc2ffd2-8300-4373-af23-60c2c15cb443",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='z [cm]'>"
      ]
     },
     "execution_count": 19,
     "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": [
    "vessel = openmc.model.Vessel(r=2.0, p1=-5., p2=5., h1=1.0, h2=1.0)\n",
    "inner_vessel = openmc.model.Vessel(r=1.9, p1=-5., p2=5., h1=0.9, h2=0.9)\n",
    "(-vessel & +inner_vessel).plot(basis='xz', width=(15., 15.))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14661d11-757e-4140-abc0-1637bdbb1766",
   "metadata": {},
   "source": [
    "## Pin geometries\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "7b77baee-5885-4a75-8d52-ba71392c110b",
   "metadata": {},
   "outputs": [],
   "source": [
    "radii = [1.0, 2.0, 3.0, 4.0, 5.0, 6.0]\n",
    "cylinders = [openmc.ZCylinder(r=r) for r in radii]\n",
    "mat = openmc.Material()\n",
    "mat.add_nuclide('U235', 1.0)\n",
    "other_mat = openmc.Material()\n",
    "other_mat.add_nuclide('U238', 1.0)\n",
    "mats = [other_mat, None, mat, None, mat, None, other_mat]\n",
    "pin_universe = openmc.model.pin(cylinders, mats)\n",
    "\n",
    "# fuel_pin_universe = openmc.model.pin([fuel_or, clad_ir, clad_or], [uo2, None, zr, water])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "27e3442f-eafe-4ae0-b516-af2b27996576",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 26,
     "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": [
    "pin_universe.plot(width=(15., 15.), color_by='material')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf9498e2-688f-4a8f-b21c-b68326210a92",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "9c672ce6-dba7-40cf-b267-dbaee10b0266",
   "metadata": {},
   "source": [
    "## Other ways of creating surfaces\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "d2111b75-8bf6-4210-90f0-2eb98d2c1ad5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 28,
     "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": 30,
   "id": "8ae4add8-64d9-4915-b16f-e2b1c5f184c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 30,
     "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.from_points((0., 0., 0.), (1., 5., 0.), (0., 0., 1.))\n",
    "(-p).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "e56e070a-ab2c-4021-802b-b3fec3c299dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='z [cm]'>"
      ]
     },
     "execution_count": 32,
     "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 = openmc.Cylinder.from_points((0., 0., 0.), (1., 1., 0.), 3.0)\n",
    "(-cyl).plot(basis='xz')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "be586a5c-0758-4c04-aa04-b9b88554c77b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAASUAAAEMCAYAAACCxKCJAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAHn5JREFUeJzt3X1UVHX+B/D3oDL40AySyEDiU5iUT5gmDXlCV04U6uo5e1yfEvIx3WxD3Ax+lWSusaVbbuWarSlmVmb5tGq0hE+pLK4IRup6xEUxdVAzZpQKlfn+/vA4NcHA3GHuzL1z369z7jnO5T587sxn3vO91+GiE0IIEBEpRJC/CyAi+iWGEhEpCkOJiBSFoUREisJQIiJFYSgRkaIwlIhIURhKRKQoDCUiUhSGEhEpiqpCae/evRg5ciSioqKg0+mwefPmJtfZvXs37r//fuj1esTExCA3N1f2OonIc6oKpZqaGvTr1w/Lli1za/mKigoMHz4cQ4cORWlpKdLT0zFt2jR88cUXMldKRJ7SqfUXcnU6HTZt2oTRo0e7XOa5557D9u3b8c033zjmjRs3DtXV1cjLy/NBlUQkVUt/FyCnwsJCJCUlOc1LTk5Genq6y3Vqa2tRW1vreGy323HlyhXceeed0Ol0cpVKpEpCCFy9ehVRUVEICvLOiVdAh5LFYkFERITTvIiICNhsNvz4449o3bp1vXVycnKwYMECX5VIFBDOnj2LTp06eWVbAR1KnsjKykJGRobjsdVqRefOnXH27FkYDAY/VhYY/rUv1d8lAAAeGfy+v0sICDabDdHR0bjjjju8ts2ADiWTyYSqqiqneVVVVTAYDA2OkgBAr9dDr9fXm28wGBhKEu3YM6bevDZtW/mhkvr2lUytNy8lcYMfKgkM3ry0EdChZDabsWPHDqd5+fn5MJvNfqoosDUUQmry6/oZUv6hqlC6du0aysvLHY8rKipQWlqKsLAwdO7cGVlZWTh37hzef//W0HzmzJl4++23MW/ePEyZMgU7d+7EJ598gu3bt/vrEAKK2kOoKQwp/1BVKB06dAhDhw51PL597SctLQ25ubm4cOECKisrHT/v1q0btm/fjjlz5uBvf/sbOnXqhJUrVyI5OdnntQeKQA+ixvzy2BlQ8lHt95R8xWazwWg0wmq1avqakpbDqDFaDyc53h+qGimRbzGImsbRk/cxlKgehpFnbj9vDKfmYSgRAAaRN3H01DwMJY1jGMmLoyfpGEoaxTDyLYaT+1R16xLyDgaS//C5bxpHShrCN4QycNTUOIaSBjCMlInh1DCevgU4BpLy8TVyxpFSgGKjqwtHTT9jKAUYhpG6MZx4+hZQGEiBQ8uvJUMpQGi5iQOVVl9Tnr6pnFYbVyu0eDrHkZKKMZC0Q0uvNUNJpbTUpHSLVl5zhpIKaaU5qT4tvPa8pqQiWmhIalqgX2fiSEklGEj0a4HaEwwlFQjU5qPmC8TeYCgpXCA2HXlXoPUIQ0nBAq3ZSD6B1CsMJYUKpCYj3wiUnmEoKVCgNBf5XiD0DkNJYQKhqci/1N5DDCUFUXszkXKouZcYSgqh5iYiZVJrTzGUFECtzUPKp8beYigRkaIwlPxMjZ9kpC5q6zGGkh+prVlIvdTUawwlP1FTk1BgUEvPMZT8QC3NQYFHDb3HUCIiRWEo+ZgaPqkosCm9BxlKPqT0ZiDtUHIvMpR8RMlNQNqk1J5kKBGRojCUfECpn0hESuxN1YXSsmXL0LVrV4SEhCA+Ph4HDx50uWxubi50Op3TFBIS4sNqiUgqVYXS+vXrkZGRgezsbBw+fBj9+vVDcnIyLl686HIdg8GACxcuOKYzZ874sGJlfhIR/ZLSelRVofT6669j+vTpmDx5Mu677z688847aNOmDVatWuVyHZ1OB5PJ5JgiIiJ8Vq/SXmwiV5TUq6oJpevXr6O4uBhJSUmOeUFBQUhKSkJhYaHL9a5du4YuXbogOjoao0aNwtGjRxvdT21tLWw2m9NERL6jmlC6fPky6urq6o10IiIiYLFYGlynZ8+eWLVqFbZs2YIPPvgAdrsdCQkJ+Pbbb13uJycnB0aj0TFFR0d7VK+SPnmI3KGUnlVNKHnCbDYjNTUVcXFxSExMxMaNGxEeHo4VK1a4XCcrKwtWq9UxnT171ocVE5FqQqlDhw5o0aIFqqqqnOZXVVXBZDK5tY1WrVqhf//+KC8vd7mMXq+HwWBwmqRSyicOkVRK6F3VhFJwcDAGDBiAgoICxzy73Y6CggKYzWa3tlFXV4eysjJERkbKVaYiXlSi5vB3D7f0694lysjIQFpaGgYOHIhBgwZh6dKlqKmpweTJkwEAqampuOuuu5CTkwMAePnll/Hggw8iJiYG1dXVWLx4Mc6cOYNp06b58zCIqBGqCqWxY8fi0qVLmD9/PiwWC+Li4pCXl+e4+F1ZWYmgoJ8Hf99//z2mT58Oi8WC9u3bY8CAAThw4ADuu+8+Werz9ycMkbfs2DMGKYkb/LJvnRBC+GXPKmGz2WA0GmG1Wpu8vsRQokDiTihJeX+4SzXXlJSOgUSBxl89zVAiIkVhKBGRojCUvICnbhSo/NHbDCUiUhSGUjNxlESBztc9zlAiIkVhKBGRojCUmoGnbqQVvux1hhIRKQpDyUMcJZHW+KrnGUpEpCgMJSJSFIaSB3jqRlrli95nKBGRojCUiEhRGEpEpCgMJYl4PYm0Tu73AEOJiBSFoUREisJQIiJFYShJwOtJRLfI+V5gKBGRorj1xygzMjIkb/iFF15AWFiY5PWISNvcCqWlS5fCbDYjODjYrY3u27cPs2fPZigRkWRu/9nuTZs2oWPHjm4te8cdd3hcEBFpm1vXlFavXg2j0ej2RlesWIGIiAiPi1Kif+1L9XcJRIoi18Vut0ZKaWlpkjY6YcIEj4ohInL79K0h165dg91ud5pnMBiaVRARaZvkrwRUVFRg+PDhaNu2LYxGI9q3b4/27dsjNDQU7du3l6NGItIQySOlxx9/HEIIrFq1ChEREdDpdHLURUQaJTmUjhw5guLiYvTs2VOOeohI4ySfvj3wwAM4e/asHLUQEUkfKa1cuRIzZ87EuXPn0Lt3b7Rq1crp53379vVacUSkbHJ8VUZyKF26dAmnTp3C5MmTHfN0Oh2EENDpdKirq/NqgUSkLZJDacqUKejfvz8++ugjXugmIq+THEpnzpzB1q1bERMTI0c9RKRxki90/+Y3v8GRI0fkqIWISPpIaeTIkZgzZw7KysrQp0+fehe6f/vb33qtOCLSHsmhNHPmTADAyy+/XO9nvrjQvWzZMixevBgWiwX9+vXDW2+9hUGDBrlcfsOGDXjxxRdx+vRp9OjRA6+++ipSUlJkrZGIPCf59M1ut7uc5A6k9evXIyMjA9nZ2Th8+DD69euH5ORkXLx4scHlDxw4gPHjx2Pq1KkoKSnB6NGjMXr0aHzzzTey1klEntMJIYS/i3BXfHw8HnjgAbz99tsAbgVkdHQ0nn76aWRmZtZbfuzYsaipqcG2bdsc8x588EHExcXhnXfecWufNpsNRqMRG7aPQpu2rZpegUhDfqi5gTHDt8BqtXrtl/Elj5T++Mc/4s0336w3/+2330Z6ero3amrQ9evXUVxcjKSkJMe8oKAgJCUlobCwsMF1CgsLnZYHgOTkZJfLA0BtbS1sNpvTRES+IzmUPvvsMzz00EP15ickJODTTz/1SlENuXz5Murq6urdPC4iIgIWi6XBdSwWi6TlASAnJwdGo9ExRUdHN794InKb5FD67rvvGrwLpcFgwOXLl71SlD9lZWXBarU6Jv6eH5FvSQ6lmJgY5OXl1Zv/+eefo3v37l4pqiEdOnRAixYtUFVV5TS/qqoKJpOpwXVMJpOk5QFAr9fDYDA4TUTkO5JDKSMjA/PmzUN2djb27NmDPXv2YP78+cjMzMScOXPkqBEAEBwcjAEDBqCgoMAxz263o6CgAGazucF1zGaz0/IAkJ+f73J5IvI/j373rba2FosWLcLChQsBAF27dsXy5cuRmirvzfUzMjKQlpaGgQMHYtCgQVi6dClqamocvxycmpqKu+66Czk5OQCAZ555BomJifjrX/+K4cOH4+OPP8ahQ4fw7rvvylonEXnOo3t0z5o1C7NmzcKlS5fQunVrtGvXztt1NWjs2LG4dOkS5s+fD4vFgri4OOTl5TkuZldWViIo6OfBX0JCAj788EO88MIL+L//+z/06NEDmzdvRu/evX1SLxFJp6rvKfkDv6dE5Jrfvqd0//334/vvv3d7o4MHD8a5c+c8LoqItMut07fS0lIcOXLE7T/DXVpaitra2mYVRkTa5PY1pWHDhsHdMz3e+I2IPOVWKFVUVEjecKdOnSSvQ0Tq8sjg9wHU/zJ1c7gVSl26dPHqTomIXJH85UkiIjkxlIhIURhKRKQoDCUiUhTJoZSWloa9e/fKUQsRkfRQslqtSEpKQo8ePfDKK69o5pvbt/7rk4huS0ncIMt2JYfS5s2bce7cOcyaNQvr169H165d8dhjj+HTTz/FjRs35KiRiDTEo2tK4eHhyMjIwJEjR1BUVISYmBhMmjQJUVFRmDNnDk6ePOntOolII5p1ofvChQvIz89Hfn4+WrRogZSUFJSVleG+++7DG2+84a0aiUhDJIfSjRs38Nlnn2HEiBHo0qULNmzYgPT0dJw/fx5r1qzBl19+iU8++aTBP1ZJRNQUyTd5i4yMhN1ux/jx43Hw4EHExcXVW2bo0KEIDQ31QnnKkpK4ATv2jPF3GUR+J9dFbsCDUHrjjTcwZswYhISEuFwmNDTUo1/iJSKSHEqTJk2Sow4iIgD8RjcRKQxDSSI5z6WJ1EDu9wBDiYgUhaFERIrCUCIiRWEoeYDXlUirfNH7DCUiUhSGEhEpCkPJQzyFI63xVc8zlIhIURhKzcDREmmFL3udoUREisJQIiJFYSg1E0/hKND5uscZSkSkKAwlL+BoiQKVP3qboUREisJQIiJFYSh5CU/hKND4q6cZSkSkKAwlL+JoiQKFP3tZNaF05coVTJw4EQaDAaGhoZg6dSquXbvW6DpDhgyBTqdzmmbOnOmjionIE6oJpYkTJ+Lo0aPIz8/Htm3bsHfvXsyYMaPJ9aZPn44LFy44ptdee03WOjlaIrXzdw+rIpSOHz+OvLw8rFy5EvHx8Rg8eDDeeustfPzxxzh//nyj67Zp0wYmk8kxGQwG2ev194tK5Ckl9K4qQqmwsBChoaEYOHCgY15SUhKCgoJQVFTU6Lrr1q1Dhw4d0Lt3b2RlZeGHH35odPna2lrYbDaniYh8RxWhZLFY0LFjR6d5LVu2RFhYGCwWi8v1JkyYgA8++AC7du1CVlYW1q5di8cff7zRfeXk5MBoNDqm6Ohoj2pWwicOkRRK6VnJf7bbmzIzM/Hqq682uszx48c93v4vrzn16dMHkZGRGDZsGE6dOoW77767wXWysrKQkZHheGyz2TwOJiKSzq+hNHfuXDzxxBONLtO9e3eYTCZcvHjRaf7Nmzdx5coVmEwmt/cXHx8PACgvL3cZSnq9Hnq93u1tNiYlcQN27BnjlW0RyUkpoyTAz6EUHh6O8PDwJpczm82orq5GcXExBgwYAADYuXMn7Ha7I2jcUVpaCgCIjIz0qF5PMJhI6ZQUSIBKrinde++9ePTRRzF9+nQcPHgQ+/fvx+zZszFu3DhERUUBAM6dO4fY2FgcPHgQAHDq1CksXLgQxcXFOH36NLZu3YrU1FQ8/PDD6Nu3rz8Ph4gaoYpQAm79L1psbCyGDRuGlJQUDB48GO+++67j5zdu3MCJEycc/7sWHByML7/8Eo888ghiY2Mxd+5c/O53v8M///lPn9eutE8iotuU2Jt+PX2TIiwsDB9++KHLn3ft2hVCCMfj6Oho7NmzxxelEZEXqWakpHZK/EQibVNqTzKUfEipTUDao+ReZCj5mJKbgbRB6T3IUCIiRWEo+YHSP6kocKmh9xhKfqKG5qDAopaeYyj5kVqahNRPTb3GUPIzNTULqZPaeoyhRESKwlBSALV9kpF6qLG3GEoKocbmIWVTa08xlBRErU1EyqPmXmIoKYyam4mUQe09xFBSILU3FflPIPQOQ0mhAqG5yLcCpWcYSgoWKE1G8gukXmEoKVwgNRvJI9B6hKGkAoHWdOQ9gdgbDCWVCMTmo+YJ1J5QzT266ecm5J9s0rZADaPbOFJSoUBvSnJNC689Q0mltNCc5EwrrzlDScW00qSkrdea15RUjteZApuWwug2jpQChBabN9Bp9TVlKAUQrTZxINLya8nTtwDD0zl103IY3cZQClAMJ3VhGP2Mp28Bjs2ufHyNnHGkpAEcNSkTw6hhDCUNYTgpA8OocTx90yC+KfyHz33TOFLSKI6afIth5D6GksYxnOTFMJKOoUQAnN88DKjmYRA1D0OJ6uHoyTMMI+9gKJFLHD01jUHkfQwlcgtHT84YRvJhKJEkWh49MYh8QzWhtGjRImzfvh2lpaUIDg5GdXV1k+sIIZCdnY1//OMfqK6uxkMPPYTly5ejR48e8hesAb9+kwZaSDGE/EM1oXT9+nWMGTMGZrMZ7733nlvrvPbaa3jzzTexZs0adOvWDS+++CKSk5Nx7NgxhISEyFyx9qg9pBhCyqATQgh/FyFFbm4u0tPTmxwpCSEQFRWFuXPn4k9/+hMAwGq1IiIiArm5uRg3bpxb+7PZbDAajbBarTAYDM0tX/OUElQMIO+Q4/2hmpGSVBUVFbBYLEhKSnLMMxqNiI+PR2FhoctQqq2tRW1treOx1WoFcOvJp+Yb3N/1KPdf+1K9uq9HBr/v8md8Pb3j9vPozbFNwIaSxWIBAERERDjNj4iIcPysITk5OViwYEG9+dHR0d4tkHzA6O8CNOO7776D0eid59uvoZSZmYlXX3210WWOHz+O2NhYH1UEZGVlISMjw/G4uroaXbp0QWVlpdeedH+w2WyIjo7G2bNnVX0ayuNQFqvVis6dOyMsLMxr2/RrKM2dOxdPPPFEo8t0797do22bTCYAQFVVFSIjIx3zq6qqEBcX53I9vV4PvV5fb77RaFR189xmMBh4HAoSKMcRFOS9G474NZTCw8MRHh4uy7a7desGk8mEgoICRwjZbDYUFRVh1qxZsuyTiJpPNfdTqqysRGlpKSorK1FXV4fS0lKUlpbi2rVrjmViY2OxadMmAIBOp0N6ejr+/Oc/Y+vWrSgrK0NqaiqioqIwevRoPx0FETVFNRe658+fjzVr1jge9+/fHwCwa9cuDBkyBABw4sQJx/+WAcC8efNQU1ODGTNmoLq6GoMHD0ZeXp6k7yjp9XpkZ2c3eEqnJjwOZeFxuKa67ykRUWBTzekbEWkDQ4mIFIWhRESKwlAiIkVhKDVg0aJFSEhIQJs2bRAaGurWOkIIzJ8/H5GRkWjdujWSkpJw8uRJeQttwpUrVzBx4kQYDAaEhoZi6tSpTl+haMiQIUOg0+mcppkzZ/qo4luWLVuGrl27IiQkBPHx8Th48GCjy2/YsAGxsbEICQlBnz59sGPHDh9V2jgpx5Gbm1vveff3nSz27t2LkSNHIioqCjqdDps3b25ynd27d+P++++HXq9HTEwMcnNzJe+XodSA27dJkfIly9u3SXnnnXdQVFSEtm3bIjk5GT/99JOMlTZu4sSJOHr0KPLz87Ft2zbs3bsXM2bMaHK96dOn48KFC47ptdde80G1t6xfvx4ZGRnIzs7G4cOH0a9fPyQnJ+PixYsNLn/gwAGMHz8eU6dORUlJCUaPHo3Ro0fjm2++8VnNDZF6HMCtb3f/8nk/c+aMDyuur6amBv369cOyZcvcWr6iogLDhw/H0KFDUVpaivT0dEybNg1ffPGFtB0Lcmn16tXCaDQ2uZzdbhcmk0ksXrzYMa+6ulro9Xrx0UcfyViha8eOHRMAxH/+8x/HvM8//1zodDpx7tw5l+slJiaKZ555xgcVNmzQoEHiqaeecjyuq6sTUVFRIicnp8Hlf//734vhw4c7zYuPjxdPPvmkrHU2RepxuNtr/gJAbNq0qdFl5s2bJ3r16uU0b+zYsSI5OVnSvjhS8oKmbpPiD4WFhQgNDcXAgQMd85KSkhAUFISioqJG1123bh06dOiA3r17IysrCz/88IPc5QK4NUItLi52eh6DgoKQlJTk8nksLCx0Wh4AkpOT/fa8A54dBwBcu3YNXbp0QXR0NEaNGoWjR4/6olyv8dZroZpvdCuZp7dJkZPFYkHHjh2d5rVs2RJhYWGN1jRhwgR06dIFUVFR+Prrr/Hcc8/hxIkT2Lhxo9wl4/Lly6irq2vwefzvf//b4DoWi0VRzzvg2XH07NkTq1atQt++fWG1WrFkyRIkJCTg6NGj6NSpky/KbjZXr4XNZsOPP/6I1q1bu7UdzYyUMjMz611I/PXkqmGURO7jmDFjBpKTk9GnTx9MnDgR77//PjZt2oRTp0558Sjo18xmM1JTUxEXF4fExERs3LgR4eHhWLFihb9L8znNjJSUeJsUT7h7HCaTqd5F1Zs3b+LKlSuOet0RHx8PACgvL8fdd98tuV4pOnTogBYtWqCqqsppflVVlcuaTSaTpOV9wZPj+LVWrVqhf//+KC8vl6NEWbh6LQwGg9ujJEBDoRQot0lx9zjMZjOqq6tRXFyMAQMGAAB27twJu93uCBp3lJaWAoBT2MolODgYAwYMQEFBgeNODna7HQUFBZg9e3aD65jNZhQUFCA9Pd0xLz8/H2azWfZ6XfHkOH6trq4OZWVlSElJkbFS7zKbzfW+juHRayH1KrwWnDlzRpSUlIgFCxaIdu3aiZKSElFSUiKuXr3qWKZnz55i48aNjsd/+ctfRGhoqNiyZYv4+uuvxahRo0S3bt3Ejz/+6I9DEEII8eijj4r+/fuLoqIisW/fPtGjRw8xfvx4x8+//fZb0bNnT1FUVCSEEKK8vFy8/PLL4tChQ6KiokJs2bJFdO/eXTz88MM+q/njjz8Wer1e5ObmimPHjokZM2aI0NBQYbFYhBBCTJo0SWRmZjqW379/v2jZsqVYsmSJOH78uMjOzhatWrUSZWVlPqu5IVKPY8GCBeKLL74Qp06dEsXFxWLcuHEiJCREHD161F+HIK5everofQDi9ddfFyUlJeLMmTNCCCEyMzPFpEmTHMv/73//E23atBHPPvusOH78uFi2bJlo0aKFyMvLk7RfhlID0tLSBIB6065duxzLABCrV692PLbb7eLFF18UERERQq/Xi2HDhokTJ074vvhf+O6778T48eNFu3bthMFgEJMnT3YK1oqKCqfjqqysFA8//LAICwsTer1exMTEiGeffVZYrVaf1v3WW2+Jzp07i+DgYDFo0CDx73//2/GzxMREkZaW5rT8J598Iu655x4RHBwsevXqJbZv3+7Tel2Rchzp6emOZSMiIkRKSoo4fPiwH6r+2a5duxp8H9yuOy0tTSQmJtZbJy4uTgQHB4vu3bs7vUfcxVuXEJGiaOZ/34hIHRhKRKQoDCUiUhSGEhEpCkOJiBSFoUREisJQIiJFYSgRkaIwlEhRTp8+7bjbgbd/mfnXfnkL2l/+7hz5F0OJFOnLL79EQUGBrPsYO3YsLly44Ndf3qX6NHOXAFKXO++8E3feeaes+2jdujVat26N4OBgWfdD0nCkRLK5dOkSTCYTXnnlFce8AwcOIDg42KNR0KpVq9CrVy/o9XpERkY63QZEp9NhxYoVGDFiBNq0aYN7770XhYWFKC8vx5AhQ9C2bVskJCTwZnUqwFAi2YSHh2PVqlV46aWXcOjQIVy9ehWTJk3C7NmzMWzYMEnbWr58OZ566inMmDEDZWVl2Lp1K2JiYpyWWbhwIVJTU1FaWorY2FhMmDABTz75JLKysnDo0CEIIdy+nxH5UTPvbkDUpD/84Q/innvuERMmTBB9+vQRP/30k8tlb99OpaSkxGl+VFSUeP75512uB0C88MILjseFhYUCgHjvvfcc8z766CMREhJSb11//wUXcsaREsluyZIluHnzJjZs2IB169ZBr9dLWv/ixYs4f/58k6Orvn37Ov59+wb2ffr0cZr3008/wWazSdo/+RZDiWR36tQpnD9/Hna7HadPn5a8vrv3d27VqpXj3zqdzuU8u90uuQbyHYYSyer69et4/PHHMXbsWCxcuBDTpk1r9K/ENuSOO+5A165dZf+KACkDvxJAsnr++edhtVrx5ptvol27dtixYwemTJmCbdu2SdrOSy+9hJkzZ6Jjx4547LHHcPXqVezfvx9PP/20TJWTv3CkRLLZvXs3li5dirVr18JgMCAoKAhr167FV199heXLl0vaVlpaGpYuXYq///3v6NWrF0aMGIGTJ0/KVDn5E+/RTYpy+vRpdOvWDSUlJbL/msltQ4YMQVxcHJYuXeqT/VHjOFIiRUpISEBCQoKs+1i3bh3atWuHr776Stb9kDQcKZGi3Lx50/E/dHq9HtHR0bLt6+rVq46/6BoaGooOHTrIti9yH0OJiBSFp29EpCgMJSJSFIYSESkKQ4mIFIWhRESKwlAiIkVhKBGRojCUiEhR/h+qqhD6YAp/iAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 258.065x259.74 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cyl = openmc.ZCylinder(r=1.0)\n",
    "(-cyl).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "6e011774-df99-45ec-b03d-7dc1fad5b9f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='x [cm]', ylabel='y [cm]'>"
      ]
     },
     "execution_count": 34,
     "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., 0.))\n",
    "(-translated_cyl).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "365d2991-99e8-43bf-8798-fca00fcdd2b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='y [cm]', ylabel='z [cm]'>"
      ]
     },
     "execution_count": 37,
     "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": [
    "rotated_cyl = cyl.rotate((45., 0., 0.))\n",
    "(-rotated_cyl).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": "markdown",
   "id": "fe55480e-f145-44ea-9dad-a87a88de574c",
   "metadata": {},
   "source": []
  }
 ],
 "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
}