Great rhombihexacron
| Great rhombihexacron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 24, E = 48 V = 18 (χ = −6) |
| Symmetry group | Oh, [4,3], *432 |
| Index references | DU21 |
| dual polyhedron | Great rhombihexahedron |
In geometry, the great rhombihexacron is a nonconvex isohedral polyhedron. It is the dual of the uniform great rhombihexahedron (U21).[1] It has 24 identical bow-tie-shaped faces, 18 vertices, and 48 edges.[2]
It has 12 outer vertices which have the same vertex arrangement as the cuboctahedron, and 6 inner vertices with the vertex arrangement of an octahedron.
As a surface geometry, it can be seen as visually similar to a Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face of a rhombic dodecahedron.
Notes
- ↑ Weisstein, Eric W. "Great rhombihexacron". MathWorld.
- ↑ Great Rhombihexacron—Bulatov Abstract Creations
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 730208
- uniform polyhedra and duals
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