examples/diamonds.py

   1 #!/usr/bin/env python3
   2
   3 import matplotlib.pyplot as plt
   4
   5 from matplotlib import pylab
   6 from mpl_toolkits.mplot3d import Axes3D
   7
   8 from linpy import *
   9
  10 x, y, z = symbols('x y z')
  11
  12 fig = plt.figure(facecolor='white')
  13
  14 diam_plot = fig.add_subplot(2, 2, 1, aspect='equal')
  15 diam_plot.set_title('Diamond')
  16 diam = Ge(y, x - 1) & Le(y, x + 1) & Ge(y, -x - 1) & Le(y, -x + 1)
  17 diam.plot(diam_plot, fill=True, edgecolor='red', facecolor='yellow')
  18
  19 cham_plot = fig.add_subplot(2, 2, 2, projection='3d', aspect='equal')
  20 cham_plot.set_title('Chamfered cube')
  21 cham = Le(0, x) & Le(x, 3) & Le(0, y) & Le(y, 3) & Le(0, z) & Le(z, 3) & \
  22     Le(z - 2, x) & Le(x, z + 2) & Le(1 - z, x) & Le(x, 5 - z) & \
  23     Le(z - 2, y) & Le(y, z + 2) & Le(1 - z, y) & Le(y, 5 - z) & \
  24     Le(y - 2, x) & Le(x, y + 2) & Le(1 - y, x) & Le(x, 5 - y)
  25 cham.plot(cham_plot, facecolors=(1, 0, 0, 0.75))
  26
  27 rhom_plot = fig.add_subplot(2, 2, 3, projection='3d', aspect='equal')
  28 rhom_plot.set_title('Rhombicuboctahedron')
  29 rhom = cham & \
  30     Le(x + y + z, 7) & Ge(-2, -x - y - z) & \
  31     Le(-1, x + y - z) & Le(x + y - z, 4) & \
  32     Le(-1, x - y + z) & Le(x - y + z, 4) & \
  33     Le(-1, -x + y + z) & Le(-x + y + z, 4)
  34 rhom.plot(rhom_plot, facecolors=(0, 1, 0, 0.75))
  35
  36 cubo_plot = fig.add_subplot(2, 2, 4, projection='3d', aspect='equal')
  37 cubo_plot.set_title('Truncated cuboctahedron')
  38 cubo = Le(0, x) & Le(x, 5) & Le(0, y) & Le(y, 5) & Le(0, z) & Le(z, 5) & \
  39     Le(x -4, y) & Le(y, x + 4) & Le(-x + 1, y) & Le(y, -x + 9) & \
  40     Le(y -4, z) & Le(z, y + 4) & Le(-y + 1, z) & Le(z, -y + 9) & \
  41     Le(z -4, x) & Le(x, z + 4) & Le(-z + 1, x) & Le(x, -z + 9) & \
  42     Le(3, x + y + z) & Le(x + y + z, 12) & \
  43     Le(-2, x - y + z) & Le(x - y + z, 7) & \
  44     Le(-2, -x + y + z) & Le(-x + y + z, 7) & \
  45     Le(-2, x + y - z) & Le(x + y - z, 7)
  46 cubo.plot(cubo_plot, facecolors=(0, 0, 1, 0.75))
  47
  48 pylab.show()