Fix 3d plots in examples

[linpy.git] / examples / tesseract.py

diff --git a/examples/tesseract.py b/examples/tesseract.py
index eaccf43..d692e37 100755 (executable)
--- a/examples/tesseract.py
+++ b/examples/tesseract.py
@@ -1,42 +1,28 @@
 #!/usr/bin/env python3
 
 #!/usr/bin/env python3
 

-"""
-    This file is part of Linpy.
+# In geometry, the tesseract is the four-dimensional analog of the cube; the
+# tesseract is to the cube as the cube is to the square. Just as the surface of
+# the cube consists of 6 square faces, the hypersurface of the tesseract
+# consists of 8 cubical cells.

 
 

-    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.
+from linpy import Le, symbols

 
 

-    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 <http://www.gnu.org/licenses/>.
-"""
-
-from pypol import *

 
 x, y, z, t = symbols('x y z t')
 
 
 x, y, z, t = symbols('x y z t')
 

-tesseract = \
-    Le(0, x) & Le(x, 1) & \
-    Le(0, y) & Le(y, 1) & \
-    Le(0, z) & Le(z, 1) & \
-    Le(0, t) & Le(t, 1)
+tesseract = Le(0, x, 1) & Le(0, y, 1) & Le(0, z, 1) & Le(0, t, 1)
+

 
 def faces(polyhedron):
     for points in polyhedron.faces():
         face = points[0].aspolyhedron()
 
 def faces(polyhedron):
     for points in polyhedron.faces():
         face = points[0].aspolyhedron()

-        face = face.union(*[point.aspolyhedron() for point in points[1:]])
-        face = face.aspolyhedron()
+        face = face.convex_union(*[point.aspolyhedron()
+                                   for point in points[1:]])

         yield face
 
         yield face
 

-print('Faces of tesseract\n\n  {}\n\nare:\n'.format(tesseract))
-for face in faces(tesseract):
-    assert(len(face.vertices()) == 8)
-    print('  {}'.format(face))
-    
-# Copyright 2014 MINES ParisTech  
+
+if __name__ == '__main__':
+    print('Faces of tesseract\n\n  {}\n\nare:\n'.format(tesseract))
+    for face in faces(tesseract):
+        assert(len(face.vertices()) == 8)
+        print('  {}'.format(face))