Triangular-pyramidal tegmatic hexecontateron
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| Triangular-pyramidal tegmatic hexecontateron | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m3o3m3o3o |
| Elements | |
| Tera | 60 triangular pyramidal tegums |
| Cells | 60 triangular pyramids, 180 sphenoids |
| Faces | 20 triangles, 60+90 isosceles triangles, 120 scalene triangles |
| Edges | 15+30+30+60 |
| Vertices | 6+6+15 |
| Vertex figure | 6 notched triacontachora, 6 joined pentachora, 15 tetrahedral tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small rhombated hexateron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | A5, order 720 |
| Convex | Yes |
| Nature | Tame |
The triangular-pyramidal tegmatic hexecontateron is a convex isoteric polyteron with 60 identical triangular pyramidal tegums as tera. It can be obtained as the dual of the small rhombated hexateron.