Sphenoidal-pyramidal triacosihexecontateron
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| Sphenoidal-pyramidal triacosihexecontateron | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m3m3m3m3o |
| Elements | |
| Tera | 360 sphenoidal pyramids |
| Cells | 180+180+180 sphenoids, 360 irregular tetrahedra |
| Faces | 60+60+90 isosceles triangles, 120+120+180+180 scalene triangles |
| Edges | 15+30+30+60+60+60+60 |
| Vertices | 6+6+15+20 |
| Vertex figure | 6 disphenoidal hecatonicosachora, 6 sphenoidal hexecontachora, 15 triakis tetrahedral tegum, 20 triangular-hexagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great prismated hexateron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | A5, order 720 |
| Convex | Yes |
| Nature | Tame |
The sphenoidal-pyramidal triacosihexecontateron is a convex isoteric polyteron with 360 identical sphenoidal pyramids as tera. It can be obtained as the dual of the great prismated hexateron.