Small rhombihexacron
| Small rhombihexacron | |
|---|---|
| |
| Type | Star polyhedron |
| Face | 
|
| Elements | F = 24, E = 48 V = 18 (χ = −6) |
| Symmetry group | Oh, [4,3], *432 |
| Index references | DU18 |
| dual polyhedron | Small rhombihexahedron |
In geometry, the small rhombihexacron (or small dipteral disdodecahedron) is the dual of the small rhombihexahedron. It is visually identical to the small hexacronic icositetrahedron. Its faces are antiparallelograms formed by pairs of coplanar triangles.
Proportions
Each antiparallelogram has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The dihedral angle equals . The ratio between the lengths of the long edges and the short ones equals .
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208