Truncated cuboctahedral prism

In geometry, a truncated cuboctahedral prism or great rhombicuboctahedral prism is a convex uniform polychoron (four-dimensional polytope).

Truncated cuboctahedral prism

Schlegel diagram
TypePrismatic uniform polychoron
Uniform index55
Schläfli symbolt0,1,2,3{4,3,2} or tr{4,3}×{}
Coxeter-Dynkin
Cells28 total:
2 4.6.8
12 4.4.4
8 4.4.6
6 4.4.8
Faces124 total:
96 {4}
16 {6}
12 {8}
Edges192
Vertices96
Vertex figure
Irregular tetrahedron
Symmetry group[4,3,2], order 96
Propertiesconvex

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.


Net

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