Stauropantohedron (EntityTopic, 11)
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(Redirected from Great rhombicuboctahedron)
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 |