Small stellapentakis dodecahedron
In geometry, the small stellapentakis dodecahedron is a nonconvex isohedral polyhedron. It is the dual of the truncated great dodecahedron. It has 60 intersecting triangular faces.
| Small stellapentakis dodecahedron | |
|---|---|
 | |
| Type | Star polyhedron |
| Face |  |
| Elements | F = 60, E = 90 V = 24 (χ = −6) |
| Symmetry group | Ih, [5,3], *532 |
| Index references | DU37 |
| dual polyhedron | Truncated great dodecahedron |
Proportions
The triangles have two acute angles of and one obtuse angle of . The dihedral angle equals . Part of each triangle lies within the solid, hence is invisible in solid models.
gollark: I'm going to spend much more time doing ground-level travel and being stuck in traffic queues and whatever than I am thinking about the aesthetics of it by satellite.
gollark: Like arguably most UK ones?
gollark: I would MUCH prefer that to an "interesting" and impossible to navigate city.
gollark: I'm also implementing the miller-rabin test because reasons.
gollark: Involving "elliptic curves" and "quadratic field sieves".
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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