Small rhombihexahedron

In geometry, the small rhombihexahedron (or small rhombicube) is a 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.

Small rhombihexahedron
TypeUniform star polyhedron
ElementsF = 18, E = 48
V = 24 (χ = 6)
Faces by sides12{4}+6{8}
Coxeter diagram (with extra double-covered triangles)
(with extra double-covered squares)
Wythoff symbol2 4 (3/2 4/2) |
Symmetry groupOh, [4,3], *432
Index referencesU18, C60, W86
Dual polyhedronSmall rhombihexacron
Vertex figure
4.8.4/3.8/7
Bowers acronymSroh
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