Stauropantohedron (EntityTopic, 11)
From Hi.gher. Space
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The '''stauropantohedron''', also known as the '''omnitruncated cube''', '''great rhombicuboctahedron''', '''rhombitruncated cuboctahedron''' and '''truncated cuboctahedron''', is the [[omnitruncate]] of the [[cube]] and [[octahedron]]. | The '''stauropantohedron''', also known as the '''omnitruncated cube''', '''great rhombicuboctahedron''', '''rhombitruncated cuboctahedron''' and '''truncated cuboctahedron''', is the [[omnitruncate]] of the [[cube]] and [[octahedron]]. | ||
Revision as of 10:33, 2 March 2014
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 |
