A zonotope is the Minkowski sum of finitely many line segments. The linear image of an hypercube in n-space is also a possible definition.
vertices: 22
faces: 20
edges: 40
genus: 0
characteristic polynomial:
(-1 + x5) (1 + x5) (1 - 3x + x2)2 (1 + 3x + x2)2 (-10 - x + x2) (-10 + x + x2)
dual's characteristic polynomial:
x (-4 + x) (-8 + x2) (-1 - 5x - 6x2 + x4)2 (5 - 5x - 4x2 + 2x3 + x4)2
chromatic number: 3
lattice group (lossy):
Z(2) 2 × Z(5) 8 × A(8)