X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/51e97eade63b2f4c7b500feb503436cc4a886e59..6d08d8c0a84c1ffa31f5eb16e33b340727f46175:/examples/menger.py?ds=sidebyside diff --git a/examples/menger.py b/examples/menger.py index b6ab90d..dcba976 100755 --- a/examples/menger.py +++ b/examples/menger.py @@ -1,21 +1,17 @@ #!/usr/bin/env python3 -""" - This file is part of Linpy. - - Linpy is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - Linpy is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with Linpy. If not, see . -""" +# Plot a Menger sponge. +# +# The construction of a Menger sponge can be described as follows: +# +# 1. Begin with a cube. +# 2. Divide every face of the cube into 9 squares, like a Rubik's Cube. This +# will sub-divide the cube into 27 smaller cubes. +# 3. Remove the smaller cube in the middle of each face, and remove the smaller +# cube in the very center of the larger cube, leaving 20 smaller cubes. This +# is a level-1 Menger sponge (resembling a Void Cube). +# 4. Repeat steps 2 and 3 for each of the remaining smaller cubes, and continue +# to iterate. import argparse @@ -26,7 +22,8 @@ from math import ceil from matplotlib import pylab from mpl_toolkits.mplot3d import Axes3D -from pypol import * +from linpy import * + x, y, z = symbols('x y z') @@ -73,8 +70,8 @@ def menger(domain, count=1, cut=False): if __name__ == '__main__': parser = argparse.ArgumentParser( description='Compute a Menger sponge.') - parser.add_argument('-n', '--iterations', type=int, default=1, - help='number of iterations (default: 1)') + parser.add_argument('-n', '--iterations', type=int, default=2, + help='number of iterations (default: 2)') parser.add_argument('-c', '--cut', action='store_true', default=False, help='cut the sponge') args = parser.parse_args() @@ -84,5 +81,3 @@ if __name__ == '__main__': plot = fig.add_subplot(1, 1, 1, projection='3d', aspect='equal') fractal.plot(plot) pylab.show() - -# Copyright 2014 MINES ParisTech