1 #!/usr/bin/env python3
3 # This program plots several 2D and 3D polyhedra on the same figure,
4 # illustrating some of the possible plot options.
6 import matplotlib.pyplot as plt
8 from matplotlib import pylab
9 from mpl_toolkits.mplot3d import Axes3D
11 from linpy import *
14 x, y, z = symbols('x y z')
16 diam = Ge(y, x - 1) & Le(y, x + 1) & Ge(y, -x - 1) & Le(y, -x + 1)
18 cham = Le(0, x, 3) & Le(0, y, 3) & Le(0, z, 3) & \
19 Le(z - 2, x, z + 2) & Le(1 - z, x, 5 - z) & \
20 Le(z - 2, y, z + 2) & Le(1 - z, y, 5 - z) & \
21 Le(y - 2, x, y + 2) & Le(1 - y, x, 5 - y)
23 rhom = cham & \
24 Le(x + y + z, 7) & Ge(-2, -x - y - z) & \
25 Le(-1, x + y - z, 4) & Le(-1, x - y + z, 4) & Le(-1, -x + y + z, 4)
27 cubo = Le(0, x, 5) & Le(0, y, 5) & Le(0, z, 5) & \
28 Le(x -4, y, x + 4) & Le(-x + 1, y, -x + 9) & \
29 Le(y -4, z, y + 4) & Le(-y + 1, z, -y + 9) & \
30 Le(z -4, x, z + 4) & Le(-z + 1, x, -z + 9) & \
31 Le(3, x + y + z, 12) & Le(-2, x - y + z, 7) & \
32 Le(-2, -x + y + z, 7) & Le(-2, x + y - z, 7)
35 if __name__ == '__main__':
37 fig = plt.figure(facecolor='white')
39 diam_plot = fig.add_subplot(2, 2, 1, aspect='equal')
40 diam_plot.set_title('Diamond')
41 diam.plot(diam_plot, fill=True, edgecolor='red', facecolor='yellow')
43 cham_plot = fig.add_subplot(2, 2, 2, projection='3d', aspect='equal')
44 cham_plot.set_title('Chamfered cube')
45 cham.plot(cham_plot, facecolors=(1, 0, 0, 0.75))
47 rhom_plot = fig.add_subplot(2, 2, 3, projection='3d', aspect='equal')
48 rhom_plot.set_title('Rhombicuboctahedron')
49 rhom.plot(rhom_plot, facecolors=(0, 1, 0, 0.75))
51 cubo_plot = fig.add_subplot(2, 2, 4, projection='3d', aspect='equal')
52 cubo_plot.set_title('Truncated cuboctahedron')
53 cubo.plot(cubo_plot, facecolors=(0, 0, 1, 0.75))
55 pylab.show()