4b0f16e9e1e4e6ef1eb677ad100da0f503d38507
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
10 from linpy import Ge, Le, symbols
13 x, y, z = symbols('x y z')
15 diam = Ge(y, x - 1) & Le(y, x + 1) & Ge(y, -x - 1) & Le(y, -x + 1)
17 cham = (
18 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 = (
28 Le(0, x, 5) & Le(0, y, 5) & Le(0, z, 5) &
29 Le(x - 4, y, x + 4) & Le(-x + 1, y, -x + 9) &
30 Le(y - 4, z, y + 4) & Le(-y + 1, z, -y + 9) &
31 Le(z - 4, x, z + 4) & Le(-z + 1, x, -z + 9) &
32 Le(3, x + y + z, 12) & Le(-2, x - y + z, 7) &
33 Le(-2, -x + y + z, 7) & Le(-2, x + y - z, 7))
36 if __name__ == '__main__':
38 fig = plt.figure(facecolor='white')
40 diam_plot = fig.add_subplot(2, 2, 1, aspect='equal')
41 diam_plot.set_title('Diamond')
42 diam.plot(diam_plot, fill=True, edgecolor='red', facecolor='yellow')
44 cham_plot = fig.add_subplot(2, 2, 2, projection='3d', aspect='equal')
45 cham_plot.set_title('Chamfered cube')
46 cham.plot(cham_plot, facecolors=(1, 0, 0, 0.75))
48 rhom_plot = fig.add_subplot(2, 2, 3, projection='3d', aspect='equal')
49 rhom_plot.set_title('Rhombicuboctahedron')
50 rhom.plot(rhom_plot, facecolors=(0, 1, 0, 0.75))
52 cubo_plot = fig.add_subplot(2, 2, 4, projection='3d', aspect='equal')
53 cubo_plot.set_title('Truncated cuboctahedron')
54 cubo.plot(cubo_plot, facecolors=(0, 0, 1, 0.75))
56 pylab.show()