Octahedron stellation II

The standard fundamental regions for the Coxeter reflection group 43.

Figure 7.9. Octahedron stellation II

here a snapshot should be displayed

reflection group 43


vertices: 26
faces: 48
edges: 72
genus: 0

characteristic polynomial: (-4 + x)3 x4 (2 + x)6 (-2 + x2)5 (-48 - 26x + x3)

dual's characteristic polynomial: (-3 + x) (-2 + x)2 (-1 + x)4 x4 (1 + x)4 (2 + x)2 (3 + x) (-2 - 2x + x2)3 (-2 + 2x + x2)3 (2 - 4x - x2 + x3)3 (-2 - 4x + x2 + x3)3

chromatic number: 2

lattice group (lossy): Z(2) 15 × Z(3) 4