Small rhombidodecacron
In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.
| Small rhombidodecacron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 60, E = 120 V = 42 (χ = −18) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | DU39 |
| dual polyhedron | Small rhombidodecahedron |
3D model of a small rhombidodecacron
Proportions
Each face has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. The dihedral angle equals .
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References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
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