Top Qs
Timeline
Chat
Perspective

Compound of six pentagonal prisms

Polyhedral compound From Wikipedia, the free encyclopedia

Compound of six pentagonal prisms
Remove ads

This uniform polyhedron compound is a chiral symmetric arrangement of six pentagonal prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.

Compound of six pentagonal prisms
Thumb
TypeUniform compound
IndexUC34
Polyhedra6 pentagonal prisms
Faces12 pentagons,
30 squares
Edges90
Vertices60
Symmetry groupchiral icosahedral (I)
Subgroup restricting to one constituent5-fold dihedral (D5)
Remove ads

This compound shares its vertex arrangement with four uniform polyhedra as follows:

Thumb
Nonconvex great rhombicosidodecahedron
Thumb
Great dodecicosidodecahedron
Thumb
Great rhombidodecahedron
Thumb
Truncated great dodecahedron
Thumb
Compound of six pentagonal prisms
Thumb
Compound of twelve pentagonal prisms

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554, S2CID 123279687.


Loading related searches...

Wikiwand - on

Seamless Wikipedia browsing. On steroids.

Remove ads