Cantellated 5-cell - Cantitruncated 5-cell

Cantitruncated 5-cell

Schlegel diagram with Truncated tetrahedral cells shown
Type Uniform polychoron
Schläfli symbol t0,1,2{3,3,3}
Coxeter-Dynkin diagram
Cells 20 5 (4.6.6)
10 (3.4.4)
5 (3.6.6)
Faces 80 20{3}
30{4}
30{6}
Edges 120
Vertices 60
Vertex figure
sphenoid
Symmetry group A4, order 120
Properties convex, isogonal
Uniform index 6 7 8

The cantitruncated 5-cell is a uniform polychoron. It is composed of 60 vertices, 120 edges, 80 faces, and 20 cells. The cells are: 5 truncated octahedra, 10 triangular prisms, and 5 truncated tetrahedra. Each vertex is surrounded by 2 truncated octahedra, one triangular prism, and one truncated tetrahedron.

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