Stauropantohedron (EntityTopic, 11)
From Hi.gher. Space
The stauropantohedron, also known as the omnitruncated cube, great rhombicuboctahedron, rhombitruncated cuboctahedron and truncated cuboctahedron, is the omnitruncate of the cube and octahedron.
Incidence matrix
Dual: disdyakis dodecahedron
| # | TXID | Va | Ea | Eb | Ec | 8a | 4a | 6a | Type | Name |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | |||||||
| 1 | Ea | 2 | = digon | ; | ||||||
| 2 | Eb | 2 | = digon | ; | ||||||
| 3 | Ec | 2 | = digon | ; | ||||||
| 4 | 8a | 8 | 4 | 4 | 0 | = octagon | ; | |||
| 5 | 4a | 4 | 2 | 0 | 2 | = square | ; | |||
| 6 | 6a | 6 | 0 | 3 | 3 | = hexagon | ; | |||
| 7 | C1a | 48 | 24 | 24 | 24 | 6 | 12 | 8 | = stauropantohedron | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
