Rhombicuboctahedral prism
From Wikipedia, the free encyclopedia
In geometry, a rhombicuboctahedral prism is a convex uniform polychoron (four-dimensional polytope).
Rhombicuboctahedral prism | |
---|---|
Type | Prismatic uniform polychoron |
Uniform index | 53 |
Schläfli symbol | t0,2,3{3,4,2} or rr{3,4}×{} s2,3{3,4,2} or s2{3,4}×{} |
Coxeter diagram | |
Cells | 28 total: 2 rr{4,3} or s2{3,4} 8 {}x{3} 18 {4,3} |
Faces | 100 total: 16 {3} 84 {4} |
Edges | 120 |
Vertices | 48 |
Vertex figure | Trapezoidal pyramid |
Symmetry group | [4,3,2], order 96 [3+,4,2], order 48 |
Properties | convex |
It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes.