Great dodecacronic hexecontahedron
Polyhedron with 60 faces
From Wikipedia, the free encyclopedia
In geometry, the great dodecacronic hexecontahedron (or great lanceal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform great dodecicosidodecahedron. Its 60 intersecting quadrilateral faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.
| Great dodecacronic hexecontahedron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 60, E = 120 V = 44 (χ = −16) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | DU61 |
| dual polyhedron | Great dodecicosidodecahedron |
Proportions
Each kite has two angles of , one of and one of . The dihedral angle equals . The ratio between the lengths of the long and short edges is .
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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