Compound of five nonconvex great rhombicuboctahedra

From Wikipedia, the free encyclopedia

This is the current revision of this page, as edited by Shadow311 (talk | contribs) at 18:27, 12 April 2023 (Reverted edits by 206.47.22.202 (talk) (AV)). The present address (URL) is a permanent link to this version.

(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)
Compound of five nonconvex great rhombicuboctahedra
Type Uniform compound
Index UC67
Polyhedra 5 nonconvex great rhombicuboctahedra
Faces 40 triangles, 30+60 squares
Edges 240
Vertices 120
Symmetry group Icosahedral (Ih)
Subgroup restricting to one constituent Pyritohedral (Th)

This uniform polyhedron compound is a composition of 5 nonconvex great rhombicuboctahedra, in the same arrangement (i.e. sharing vertices with) the compound of 5 truncated cubes.

References[edit]

  • 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.