Stellated truncated hexahedron
| Stellated truncated hexahedron | |
|---|---|
| |
| Type | Uniform star polyhedron |
| Elements | F = 14, E = 36 V = 24 (χ = 2) |
| Faces by sides | 8{3}+6{8/3} |
| Coxeter diagram |      
|
| Wythoff symbol | 2 3 | 4/3 2 3/2 | 4/3 |
| Symmetry group | Oh, [4,3], *432 |
| Index references | U19, C66, W92 |
| Dual polyhedron | Great triakis octahedron |
| Vertex figure |  3.8/3.8/3 |
| Bowers acronym | Quith |
In geometry, the stellated truncated hexahedron (or quasitruncated hexahedron, and stellatruncated cube[1]) is a uniform star polyhedron, indexed as U19. It has 14 faces (8 triangles and 6 octagrams), 36 edges, and 24 vertices.[2] It is represented by Schläfli symbol t'{4,3} or t{4/3,3}, and Coxeter-Dynkin diagram, 
. It is sometimes called quasitruncated hexahedron because it is related to the truncated cube, , except that the square faces become inverted into {8/3} octagrams.
Even though the stellated truncated hexahedron is a stellation of the truncated hexahedron, its core is a regular octahedron.
Orthographic projections
[edit]
Related polyhedra
[edit]It shares the vertex arrangement with three other uniform polyhedra: the convex rhombicuboctahedron, the small rhombihexahedron, and the small cubicuboctahedron.
 Rhombicuboctahedron |
 Small cubicuboctahedron |
 Small rhombihexahedron |
Stellated truncated hexahedron |
See also
[edit]References
[edit]- ^ Weisstein, Eric W. "Uniform Polyhedron". MathWorld.
- ^ Maeder, Roman. "19: stellated truncated hexahedron". MathConsult.
External links
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