Rename example squares.py into tutorial.py

[linpy.git] / examples / menger.py

diff --git a/examples/menger.py b/examples/menger.py
index 064219e..dcba976 100755 (executable)
--- a/examples/menger.py
+++ b/examples/menger.py
@@ -1,21 +1,17 @@
 #!/usr/bin/env python3
+
+# Plot a Menger sponge.
 #
-# Copyright 2014 MINES ParisTech
-#
-# 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.
+# The construction of a Menger sponge can be described as follows:
 #
-# You should have received a copy of the GNU General Public License
-# along with LinPy.  If not, see <http://www.gnu.org/licenses/>.
+# 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
 
@@ -28,6 +24,7 @@ from mpl_toolkits.mplot3d import Axes3D
 
 from linpy import *
 
+
 x, y, z = symbols('x y z')
 
 _x, _y, _z = x.asdummy(), y.asdummy(), z.asdummy()
@@ -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()