Great cubicuboctahedron
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| Great cubicuboctahedron | |
|---|---|
 |
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| Type | Uniform star polyhedron |
| Elements | F = 20, E = 48 V = 24 (χ = −4) |
| Faces by sides | 8{3}+6{4}+6{8/3} |
| Wythoff symbol | 3 4 | 4/3 |
| Symmetry group | Oh, [4,3], *432 |
| Index references | U14, C50, W77 |
| Bowers acronym | Gocco |
 3.8/3.4.8/3 (Vertex figure) |
 Great hexacronic icositetrahedron (dual polyhedron) |
In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14.
[edit] Related polyhedra
It shares the vertex arrangement with the convex truncated cube and two other nonconvex uniform polyhedra. It additionally shares its edge arrangement with the nonconvex great rhombicuboctahedron (having the triangular faces and 6 square faces in common), and with the great rhombihexahedron (having the octagrammic faces in common).
 Truncated cube |
 Nonconvex great rhombicuboctahedron |
Great cubicuboctahedron |
 Great rhombihexahedron |
[edit] See also
[edit] External links
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