Created
February 11, 2014 21:51
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ipython notebook - superformula
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{ | |
"metadata": { | |
"name": "" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%matplotlib inline\n", | |
"import numpy as np\n", | |
"import pylab as pl\n", | |
"from math import pi,sin,cos\n", | |
"\n", | |
"# http://en.wikipedia.org/wiki/Johan_Gielis\n", | |
"def sf2d(m,n1,n2,n3):\n", | |
" lx,ly=[],[]\n", | |
" a,b=1,1\n", | |
" number_of_points=100\n", | |
" dt=2*pi/number_of_points\n", | |
" t=0\n", | |
" for _ in range(number_of_points):\n", | |
" r=( abs(cos(m*t/4)/a)**n2 + abs(sin(m*t/4)/b)**n3 ) ** (-1/n1)\n", | |
" (x,y)=(r*cos(t),r*sin(t));\n", | |
" lx.append(x)\n", | |
" ly.append(y)\n", | |
" t+=dt\n", | |
" pl.plot(lx,ly)\n", | |
"\n", | |
"sf2d(8,1,1,8) \n", | |
"#pl.clf()\n", | |
"sf2d(3,4.5,10,10) \n", | |
"sf2d(2,1,1,1) \n", | |
"sf2d(16,0.5,0.5,16) \n", | |
"sf2d(4,0.5,0.5,4) \n", | |
"\n", | |
"#x = np.linspace(0,5,100) #help (np.linspace)\n", | |
"#y = 2.5 * x + 1.2\n", | |
"#pl.plot(x,y)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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WRK2WW3188GrHNQiXK7LwdxBvnDlDpsGAEIJQR0cGurkx0M2NQW5uDHB1vSw6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\npQTHpD9Qb/4BVXgn7ObfL90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mzcPhvfek2eUmkK7X825GBvvKyjg4cGCLCm/LtC+PpaWR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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x3cc7e90>" | |
] | |
} | |
], | |
"prompt_number": 36 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [] | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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