Compound_of_five_small_stellated_dodecahedra

Compound of five small stellated dodecahedra

Compound of five small stellated dodecahedra

Polyhedral compound

This uniform polyhedron compound is a composition of 5 small stellated dodecahedra, in the same arrangement as in the compound of 5 icosahedra.

Compound of five small stellated dodecahedra
TypeUniform compound
IndexUC51
Polyhedra5 small stellated dodecahedra
Faces60 pentagrams
Edges150
Vertices60
Symmetry groupicosahedral (Ih)
Subgroup restricting to one constituentpyritohedral (Th)

It is one of only five polyhedral compounds (along with the compound of six tetrahedra, the compound of two great dodecahedra, the compound of five great dodecahedra, and the compound of two small stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive.

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.


Stub icon

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.
Share this article:

This article uses material from the Wikipedia article Compound_of_five_small_stellated_dodecahedra, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.