Great ditrigonal dodecacronic hexecontahedron
Appearance
Great ditrigonal 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 | DU42 |
dual polyhedron | Great ditrigonal dodecicosidodecahedron |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/7/78/Great_ditrigonal_dodecacronic_hexecontahedron.stl/220px-Great_ditrigonal_dodecacronic_hexecontahedron.stl.png)
In geometry, the great ditrigonal dodecacronic hexecontahedron (or great lanceal trisicosahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform great ditrigonal dodecicosidodecahedron. Its faces are kites. Part of each kite lies inside the solid, hence is invisible in solid models.
Proportions
[edit]Kite faces have two angles of , one of and one of . Its dihedral angles equal . The ratio between the lengths of the long edges and the short ones equals .
References
[edit]- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208 p. 62