Great stellapentakis dodecahedron
Great stellapentakis dodecahedron | |
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Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 90 V = 32 (χ = 2) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU55 |
dual polyhedron | Truncated great icosahedron |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/3/3b/Great_stellapentakis_dodecahedron.stl/220px-Great_stellapentakis_dodecahedron.stl.png)
3D model of a great stellapentakis dodecahedron
In geometry, the great stellapentakis dodecahedron (or great astropentakis dodecahedron) is a nonconvex isohedral polyhedron. It is the dual of the truncated great icosahedron. It has 60 intersecting triangular faces.
Proportions[]
The triangles have one angle of and two of . The dihedral angle equals . Part of each triangle lies within the solid, hence is invisible in solid models.
References[]
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links[]
Categories:
- Dual uniform polyhedra
- Polyhedron stubs