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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 51, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"from __future__ import division, print_function\n", | |
"from mayavi import mlab\n", | |
"import numpy as np" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 52, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Notebook initialized with x3d backend.\n" | |
] | |
} | |
], | |
"source": [ | |
"mlab.init_notebook()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 53, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def superquad(epsilon, dims, n):\n", | |
" \"\"\"Define a superquadric as a mayavi surface\n", | |
" \n", | |
" https://en.wikipedia.org/wiki/Superquadrics\n", | |
" \n", | |
" Parameters\n", | |
" ----------\n", | |
" epsilon : tuple, float\n", | |
" Exponent for the superquadrics in x, y, and z.\n", | |
" dims : tuple, float\n", | |
" Dimensions in x, y, and z. The values are half o the\n", | |
" total dimension in each direction.\n", | |
" n : int\n", | |
" Number of subdivisions in the cenital and azimutal\n", | |
" partitions\n", | |
" \n", | |
" \"\"\"\n", | |
" etamax = np.pi/2.0\n", | |
" etamin = -np.pi/2.0\n", | |
" wmax = np.pi\n", | |
" wmin = -np.pi\n", | |
" r, s, t = 2.0/epsilon[0], 2.0/epsilon[1], 2.0/epsilon[2]\n", | |
" eta, w = np.mgrid[etamin:etamax: n*1j, wmin: wmax: n*1j]\n", | |
" x = dims[0] * np.sign(np.cos(eta))* np.abs(np.cos(eta))**r *\\\n", | |
" np.sign(np.cos(w))*np.abs(np.cos(w))**r\n", | |
" y = dims[1] * np.sign(np.cos(eta))* np.abs(np.cos(eta))**s *\\\n", | |
" np.sign(np.sin(w))*np.abs(np.sin(w))**s\n", | |
" z = dims[2] * np.sign(np.sin(eta))* np.abs(np.sin(eta))**t\n", | |
"\n", | |
" sup = mlab.mesh(x, y, z, colormap=\"summer\") \n", | |
"\n", | |
" return sup" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 59, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
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" \"/>\n", | |
" </IndexedFaceSet>\n", | |
" </Shape>\n", | |
" </Transform>\n", | |
" </Transform>\n", | |
" </Scene>\n", | |
"</X3D>\n", | |
"\n", | |
" <script type=\"text/javascript\">\n", | |
" require([\"/nbextensions/mayavi/x3d/x3dom.js\"], function(x3dom) {\n", | |
" var x3dom_css = document.getElementById(\"x3dom-css\");\n", | |
" if (x3dom_css === null) {\n", | |
" var l = document.createElement(\"link\");\n", | |
" l.setAttribute(\"rel\", \"stylesheet\");\n", | |
" l.setAttribute(\"type\", \"text/css\");\n", | |
" l.setAttribute(\"href\", \"/nbextensions/mayavi/x3d/x3dom.css\");\n", | |
" l.setAttribute(\"id\", \"x3dom-css\");\n", | |
" $(\"head\").append(l);\n", | |
" }\n", | |
" if (typeof x3dom != 'undefined') {\n", | |
" x3dom.reload();\n", | |
" }\n", | |
" else if (typeof window.x3dom != 'undefined') {\n", | |
" window.x3dom.reload();\n", | |
" }\n", | |
" })\n", | |
" </script>\n", | |
" " | |
], | |
"text/plain": [ | |
"<mayavi.modules.surface.Surface at 0x307eec30>" | |
] | |
}, | |
"execution_count": 59, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"mlab.figure(bgcolor=(1.0, 1.0, 1.0))\n", | |
"epsilon = [8, 4, 20]\n", | |
"dims = [1.0, 2.0, 3.0]\n", | |
"s = superquad(epsilon, dims, 51)\n", | |
"s" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 2", | |
"language": "python", | |
"name": "python2" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 2 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython2", | |
"version": "2.7.10" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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