Great dodecicosacron
Appearance
Great dodecicosacron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 120 V = 32 (χ = −28) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU63 |
dual polyhedron | Great dodecicosahedron |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/40/Great_dodecicosacron.stl/220px-Great_dodecicosacron.stl.png)
In geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the great dodecicosahedron (U63). It has 60 intersecting bow-tie-shaped faces.
Proportions
[edit]Each face has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The dihedral angle equals . The ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. Part of each face lies inside the solid, hence is invisible in solid models.
References
[edit]- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208