X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/1695c920d030869b3a842736fe5bcf963f2ffc52..2a1055d4f4754fa33c53d3f155cc050e4911a2a3:/examples/diamond.py diff --git a/examples/diamond.py b/examples/diamond.py index e82581e..70413e7 100755 --- a/examples/diamond.py +++ b/examples/diamond.py @@ -1,18 +1,41 @@ #!/usr/bin/env python3 +import pylab + from pypol import * x, y, z = symbols('x y z') -diam = Ge(y, x - 1) & Le(y, x + 1) & Ge(y, -x - 1) & Le(y, -x + 1) -print('diamond:', diam) -print() -rhom1 = Le(0, x) & Le(x, 3) & Le(0, y) & Le(y, 3) & Le(0, z) & Le(z, 3) \ -& Le(z - 2, x) & Ge(z + 2, x) & Ge(z - 1, -x) & Le(z - 5, -x) \ -& Le(z - 2, y) & Ge(z + 2, y) & Ge(z - 1, -y) & Le(z - 5, -y) \ -& Le(y - 2, x) & Ge(y + 2, x) & Ge(y - 1, -x) & Le(y - 5, -x) -rhom1.plot() -rhom2 = rhom1 & Le(x + y + z, 7) & Ge(-2, -x - y - z ) \ -& Le(x + y - z, 4) & Ge(x + y - z, -1) \ -& Le(x - y + z, 4) & Ge(x - y + z, -1) \ -& Le(-x + y + z, 4) & Ge(-x + y + z, -1) -rhom2.plot() + +# diam = Ge(y, x - 1) & Le(y, x + 1) & Ge(y, -x - 1) & Le(y, -x + 1) +# print('diamond:', diam) +# diam.plot(fill=True, edgecolor='red', facecolor='yellow') +# pylab.show() + +# Chamfered cube +cham = Le(0, x) & Le(x, 3) & Le(0, y) & Le(y, 3) & Le(0, z) & Le(z, 3) & \ + Le(z - 2, x) & Le(x, z + 2) & Le(1 - z, x) & Le(x, 5 - z) & \ + Le(z - 2, y) & Le(y, z + 2) & Le(1 - z, y) & Le(y, 5 - z) & \ + Le(y - 2, x) & Le(x, y + 2) & Le(1 - y, x) & Le(x, 5 - y) +cham_plot = cham.plot(facecolors=(1, 0, 0, 0.75)) +pylab.show() + +# Rhombicuboctahedron +rhom = cham & \ + Le(x + y + z, 7) & Ge(-2, -x - y - z) & \ + Le(-1, x + y - z) & Le(x + y - z, 4) & \ + Le(-1, x - y + z) & Le(x - y + z, 4) & \ + Le(-1, -x + y + z) & Le(-x + y + z, 4) +rhom.plot(facecolors=(0, 1, 0, 0.75)) +pylab.show() + +# Truncated cuboctahedron +cubo = Le(0, x) & Le(x, 5) & Le(0, y) & Le(y, 5) & Le(0, z) & Le(z, 5) & \ + Le(x -4, y) & Le(y, x + 4) & Le(-x + 1, y) & Le(y, -x + 9) & \ + Le(y -4, z) & Le(z, y + 4) & Le(-y + 1, z) & Le(z, -y + 9) & \ + Le(z -4, x) & Le(x, z + 4) & Le(-z + 1, x) & Le(x, -z + 9) & \ + Le(3, x + y + z) & Le(x + y + z, 12) & \ + Le(-2, x - y + z) & Le(x - y + z, 7) & \ + Le(-2, -x + y + z) & Le(-x + y + z, 7) & \ + Le(-2, x + y - z) & Le(x + y - z, 7) +cubo_plot = cubo.plot(facecolors=(0, 0, 1, 0.75)) +pylab.show()