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.
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 |
![](../I/m/Great_stellapentakis_dodecahedron.stl.png)
3D model of a great stellapentakis dodecahedron
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.
gollark: You have an infinite 2D grid of nodes with 256 bytes of RAM and osmarksISA™-12847.
gollark: It's my TIS-100-style esolang thing.
gollark: Maybe I should do stuff with TIS³ again.
gollark: Real GPUs do fancy stuff to interleave threads on those to hide latency but I don't think you need to very much.
gollark: Anyway, that isn't very good for parallel computing tasks, so you should give it maybe 32 parallel cores with lesser ISAs and a SPMD programming model.
References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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