| Runcitruncated 5-cell | ||
Schlegel diagram with cuboctahedral cells shown |
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| Type | Uniform polychoron | |
| Schläfli symbol | t0,1,3{3,3,3} | |
| Coxeter-Dynkin diagram | ||
| Cells | 30 | 5 (3.6.6) 10 (4.4.6) 10 (3.4.4) 5 (3.4.3.4) |
| Faces | 120 | 40 {3} 60 {4} 20 {6} |
| Edges | 150 | |
| Vertices | 60 | |
| Vertex figure | (Rectangular pyramid) |
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| Coxeter group | A4, order 120 | |
| Properties | convex, isogonal | |
| Uniform index | 7 8 9 | |
The runcitruncated 5-cell is composed of 60 vertices, 150 edges, 120 faces, and 30 cells. The cells are: 5 truncated tetrahedra, 10 hexagonal prisms, 10 triangular prisms, and 5 cuboctahedra. Each vertex is surrounded by five cells: one truncated tetrahedron, two hexagonal prisms, one triangular prism, and one cuboctahedron; the vertex figure is a rectangular pyramid.
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