{ "metadata": { "name": "9932_04_06" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 4, example 6\n", "====================\n", "\n", "Matplotlib has a toolkit, mplot3d, which offers several 3D plotting features. We are going to show a simple example here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first need to load explicitely the 3D toolkit." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we create a grid with the NumPy function `meshgrid`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# create a (X, Y) grid\n", "X = linspace(-5, 5, 50)\n", "Y = X\n", "X, Y = meshgrid(X, Y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a surface plot `z = sin(r)` where `z` is the height, and `r` is the distance from origin." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# compute the Z values\n", "R = sqrt(X**2 + Y**2)\n", "Z = sin(R)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we display the surface plot." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# plot the surface\n", "ax = gca(projection='3d')\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=mpl.cm.coolwarm, linewidth=0)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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2uuJxQTz3B3D3DeSH/5P7L1tNkLexU0rb9iyK+p6ZTqdNA9XzcC7PZaRbz64e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\n4skYwnGwbIEsCVzLw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