Small rhombihexahedron
Small rhombihexahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 18, E = 48 V = 24 (χ = −6) |
Faces by sides | 12{4}+6{8} |
Coxeter diagram |
(with extra double-covered triangles) (with extra double-covered squares) |
Wythoff symbol | 2 4 (3/2 4/2) | |
Symmetry group | Oh, [4,3], *432 |
Index references | U18, C60, W86 |
Dual polyhedron | Small rhombihexacron |
Vertex figure | 4.8.4/3.8/7 |
Bowers acronym | Sroh |
In
nonconvex uniform polyhedron, indexed as U18. It has 18 faces (12 squares and 6 octagons), 48 edges, and 24 vertices. Its vertex figure is an antiparallelogram
.
Related polyhedra
This polyhedron shares the
edge arrangement with the convex rhombicuboctahedron (having 12 square faces in common) and with the small cubicuboctahedron
(having the octagonal faces in common).
Rhombicuboctahedron |
Small cubicuboctahedron |
Small rhombihexahedron |
Stellated truncated hexahedron |
It may be constructed as the exclusive or (blend) of three octagonal prisms.