Related Polyhedra and Tilings
This polyhedron can be considered a member of a sequence of uniform patterns with vertex figure (4.6.2p) and Coxeter-Dynkin diagram . For p < 6, the members of the sequence are omnitruncated polyhedra (zonohedrons), shown below as spherical tilings. For p > 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling.
| Symmetry | Spherical | planar | Hyperbolic | |||||
|---|---|---|---|---|---|---|---|---|
| *232 D3h |
*332 Td |
*432 Oh |
*532 Ih |
*632 P6m |
*732 |
*832 |
*∞32 |
|
| Order | 12 | 24 | 48 | 120 | ∞ | |||
| Omnitruncated figure |
4.6.4 |
4.6.6 |
4.6.8 |
4.6.10 |
4.6.12 |
4.6.14 |
4.6.16 |
4.6.∞ |
| Coxeter Schläfli |
t0,1,2{2,3} |
t0,1,2{3,3} |
t0,1,2{4,3} |
t0,1,2{5,3} |
t0,1,2{6,3} |
t0,1,2{7,3} |
t0,1,2{8,3} |
t0,1,2{∞,3} |
| Omnitruncated duals |
V4.6.4 |
V4.6.6 |
V4.6.8 |
V4.6.10 |
V4.6.12 |
V4.6.14 |
V4.6.16 | V4.6.∞ |
| Coxeter | ||||||||
Read more about this topic: Hexagonal Prism
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