| Great stellapentakis dodecahedron | |
|---|---|
| |
| 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 |
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[edit]
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[edit]
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links[edit]