Great dodecacronic hexecontahedron
Appearance
Great dodecacronic hexecontahedron | |
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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 |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/fe/Great_dodecacronic_hexecontahedron.stl/220px-Great_dodecacronic_hexecontahedron.stl.png)
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.
Proportions
[edit]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
[edit]- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208