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@ryanswanstrom
Created November 1, 2013 18:04
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A file plotting a 3d plane with ipythong
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{
"metadata": {
"name": "planes.ipynb"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Homework by Ryan Swanstrom\n",
"\n",
"## Create and Plot a Plane.\n",
"\n",
"Here are equations for the original 2 planes.\n",
"\n",
"## $ \\hat{Y_1} = -87 + X_1 + 18X_2 $\n",
"\n",
"## $ \\hat{Y_2} = -7 + 9X_1 + 2 X_2 $\n",
"\n",
"The equation for the new plane will be \n",
"\n",
"# $\\hat{Y_{new}} = -\\hat{Y_1} + 2 \\hat{Y_2} = 73 + 17X_1 - 14 X_2$\n",
"\n",
"The plots can be seen below with the green plane being the new one.\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"y1 = np.array([1, 18, -1])\n",
"y2 = np.array([9, 2, -1])\n",
"ynew = np.array([17,-14, -1])\n",
"\n",
"# a plane is a*x+b*y+c*z+d=0\n",
"# [a,b,c] is the normal. \n",
"d1 = -87\n",
"d2 = -7\n",
"dnew = 73\n",
"\n",
"# create x,y\n",
"x1, x2 = np.meshgrid(range(0,24,10), range(0,24,10))\n",
"\n",
"# calculate corresponding z\n",
"y1 = -87+ x1 + 18*x2\n",
"y2 = -7 + 9*x1 + 2*x2\n",
"ynew = 73 + 17*x1 -14*x2\n",
"\n",
"# plot the surface\n",
"plt3d = plt.figure().gca(projection='3d')\n",
"\n",
"#plt3d.plot_surface(x1, x2, y2, color='darkblue')\n",
"#plt3d.plot_surface(x1, x2, y1, color='lightblue')\n",
"plt3d.plot_surface(x1, x2, ynew, color='green')\n",
"plt3d.view_init(10, 99)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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voOFyHK5peQ0L5i4AimsJ2mw2fvrpJ44cOcKLL77IX/7yF2RZJisri27dukU8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\nr78+oiPYO++8w4oVK1i9erW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"text": [
"<matplotlib.figure.Figure at 0x82c3710>"
]
}
],
"prompt_number": 56
}
],
"metadata": {}
}
]
}
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