Great rhombic triacontahedron
Great rhombic triacontahedron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 30, E = 60 V = 32 (χ = 2) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU54 |
dual polyhedron | Great icosidodecahedron |
In geometry, the great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron. It is the dual of the great icosidodecahedron (U54). It has 30 intersecting rhombic faces.
The great rhombic triacontahedron can be constructed by expanding the size of the faces of a rhombic triacontahedron by a factor of , where is the golden ratio.
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
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