Great cubicuboctahedron
| Great cubicuboctahedron | |
|---|---|
 | |
| 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 4 3/2 | 4 |
| Symmetry group | Oh, [4,3], *432 |
| Index references | U14, C50, W77 |
| Dual polyhedron | Great hexacronic icositetrahedron |
| Vertex figure |  3.8/3.4.8/3 |
| Bowers acronym | Gocco |
In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14.
Orthographic projections
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 |
Great hexacronic icositetrahedron
| Great hexacronic icositetrahedron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 24, E = 48 V = 20 (χ = −4) |
| Symmetry group | Oh, [4,3], *432 |
| Index references | DU14 |
| dual polyhedron | Great cubicuboctahedron |
The great hexacronic icositetrahedron is the dual of the great cubicuboctahedron.
See also
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 730208
External links
- Weisstein, Eric W., "Great cubicuboctahedron", MathWorld.
- Weisstein, Eric W., "Great Hexacronic Icositetrahedron", MathWorld.
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