examples/diamond.py

   1 #!/usr/bin/env python3
   2
   3 import pylab
   4
   5 from pypol import *
   6
   7 x, y, z = symbols('x y z')
   8
   9 # diam = Ge(y, x - 1) & Le(y, x + 1) & Ge(y, -x - 1) & Le(y, -x + 1)
  10 # print('diamond:', diam)
  11 # diam.plot(fill=True, edgecolor='red', facecolor='yellow')
  12 # pylab.show()
  13
  14 # Chamfered cube
  15 cham = Le(0, x) & Le(x, 3) & Le(0, y) & Le(y, 3) & Le(0, z) & Le(z, 3) & \
  16     Le(z - 2, x) & Le(x, z + 2) & Le(1 - z, x) & Le(x, 5 - z) & \
  17     Le(z - 2, y) & Le(y, z + 2) & Le(1 - z, y) & Le(y, 5 - z) & \
  18     Le(y - 2, x) & Le(x, y + 2) & Le(1 - y, x) & Le(x, 5 - y)
  19 cham_plot = cham.plot(facecolors=(1, 0, 0, 0.75))
  20 pylab.show()
  21
  22 # Rhombicuboctahedron
  23 rhom = cham & \
  24     Le(x + y + z, 7) & Ge(-2, -x - y - z) & \
  25     Le(-1, x + y - z) & Le(x + y - z, 4) & \
  26     Le(-1, x - y + z) & Le(x - y + z, 4) & \
  27     Le(-1, -x + y + z) & Le(-x + y + z, 4)
  28 rhom.plot(facecolors=(0, 1, 0, 0.75))
  29 pylab.show()
  30
  31 # Truncated cuboctahedron
  32 cubo = Le(0, x) & Le(x, 5) & Le(0, y) & Le(y, 5) & Le(0, z) & Le(z, 5) & \
  33     Le(x -4, y) & Le(y, x + 4) & Le(-x + 1, y) & Le(y, -x + 9) & \
  34     Le(y -4, z) & Le(z, y + 4) & Le(-y + 1, z) & Le(z, -y + 9) & \
  35     Le(z -4, x) & Le(x, z + 4) & Le(-z + 1, x) & Le(x, -z + 9) & \
  36     Le(3, x + y + z) & Le(x + y + z, 12) & \
  37     Le(-2, x - y + z) & Le(x - y + z, 7) & \
  38     Le(-2, -x + y + z) & Le(-x + y + z, 7) & \
  39     Le(-2, x + y - z) & Le(x + y - z, 7)
  40 cubo_plot = cubo.plot(facecolors=(0, 0, 1, 0.75))
  41 pylab.show()