| Birectified 5-simplex Birectified hexateron (dot) |
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|---|---|---|
A5 Coxeter plane projection symmetry |
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| Type | uniform polyteron | |
| Schläfli symbol | t2{34} | |
| Coxeter-Dynkin diagram | or |
|
| 4-faces | 12 | 12 t1{3,3,3} |
| Cells | 60 | 30 {3,3} 30 t1{3,3} |
| Faces | 120 | 120 {3} |
| Edges | 90 | |
| Vertices | 20 | |
| Vertex figure | {3}x{3} |
|
| Coxeter group | A5×2, ], order 1440 | |
| Base point | (0,0,0,1,1,1) | |
| Circumradius | 0.866025 | |
| Properties | convex, isogonal isotoxal | |
The birectified 5-simplex is isotopic, with all 12 of its facets as rectified 5-cells. It has 20 vertices, 90 edges, 120 triangular faces, 60 cells (30 tetrahedral, and 30 octahedral). It is also called 02,2 for its branching Coxeter-Dynkin diagram, shown as .
Read more about this topic: Rectified 5-simplex