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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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