Compound of twelve pentagrammic prisms
This uniform polyhedron compound is a symmetric arrangement of 12 pentagrammic prisms, aligned in pairs with the axes of fivefold rotational symmetry of a dodecahedron.
Compound of twelve pentagrammic prisms | |
---|---|
Type | Uniform compound |
Index | UC37 |
Polyhedra | 12 pentagrammic prisms |
Faces | 24 pentagrams, 60 squares |
Edges | 180 |
Vertices | 60 |
Symmetry group | icosahedral (Ih) |
Subgroup restricting to one constituent | 5-fold dihedral (D5) |
It results from composing the two enantiomorphs of the compound of six pentagrammic prisms. In doing so, the vertices of the two enantiomorphs coincide, with the result that the full compound has two pentagrammic prisms incident on each of its vertices.
Related polyhedra
This compound shares its vertex arrangement with four uniform polyhedra as follows:
Rhombicosidodecahedron |
Small dodecicosidodecahedron |
Small rhombidodecahedron |
Small stellated truncated dodecahedron |
Compound of six pentagrammic prisms |
Compound of twelve pentagrammic prisms |
gollark: Thing is that it goes back to an earlier stage of the process, so maybe that should be indicated.
gollark: Sure, but I think you output ADP or whatever when there's a thing earlier on consuming it.
gollark: shouldn't you draw lines from the outputs into the corresponding inputs?
gollark: What?
gollark: Low end ones probably not that much, considering, but the some of the graphical ones I've seen are more expensive than my phone.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (03): 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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