Stellated truncated hexahedron
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| Stellated truncated hexahedron | |
|---|---|
 |
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| Type | Uniform polyhedron |
| Elements | F = 14, E = 36 V = 24 (χ = 2) |
| Faces by sides | 8{3}+6{8/3} |
| Wythoff symbol | 2 3 | 4/3 |
| Symmetry group | Oh |
| Index references | U19, C66, W92 |
 3.8/3.8/3 (Vertex figure) |
 Great triakis octahedron (dual polyhedron) |
In geometry, the stellated truncated hexahedron (or quasitruncated hexahedron) is a nonconvex uniform polyhedron, indexed as U19.
The Stellated truncated hexahedron has 24 vertices, 36 edges, and 14 faces (8{3}+6{8/3}). The vertex configuration is 3.8/3.8/3. Its symmetry group is Oh, its Wythoff symbol is 2 3 | 4/3, and its Euler characteristic is χ=2.
Its uniform index number is U19, its Kaleido index is K24, its number in Wenninger's Polyhedron Models is 92, and it was given the number 66 in Coxeter's 1954 paper, which first gave the complete list of the uniform polyhedra.
It shares the vertex arrangement with the convex small rhombicuboctahedron.
Note that stellated truncated hexahedron is not real stellation of truncated hexahedron. Triangle planes of truncated hexahedron are not used, but are new planes of triangles in stellated truncated hexahedron.
