Great rhombidodecacron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 120 V = 42 (χ = −18) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU73 |
dual polyhedron | Great rhombidodecahedron |
![](https://upload.wikimedia.org/wikipedia/commons/thumb/4/40/Great_rhombidodecacron.stl/220px-Great_rhombidodecacron.stl.png)
In geometry, the great rhombidodecacron (or Great dipteral ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the great rhombidodecahedron. It is visually identical to the great deltoidal hexecontahedron. Its faces are antiparallelograms.
Proportions
[edit]Each antiparallelogram 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 p. 88