{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 3D Spherical Harmonic Plots\n", "\n", "This notebook demonstrates how to generate a simple 3-dimensional plot of the data in an SHGrid class instance." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QRRhbzBjCFcNp9XTsZhPyKM353fM7XOtP6mEn0+zNKeeKg3c5/czw0Qu7vO3R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\nETwAACB4BA8AAAje/wPFdmx63fQCMwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "from pyshtools import SHCoeffs\n", "\n", "lmax = 70\n", "coeffs = SHCoeffs.from_zeros(lmax)\n", "coeffs.set_coeffs(values=[1], ls=[10], ms=[0])\n", "\n", "grid = coeffs.expand('GLQ')\n", "grid.plot_3dsphere(elevation=20, azimuth=30);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }