Small icosacronic hexecontahedron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 120 V = 52 (χ = −8) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU31 |
dual polyhedron | Small icosicosidodecahedron |
In geometry, the small icosacronic hexecontahedron (or small lanceal trisicosahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform small icosicosidodecahedron. Its faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Small_icosacronic_hexecontahedron.stl/220px-Small_icosacronic_hexecontahedron.stl.png)
Proportions
editThe kites have 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
edit- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208