Rhombipyramidal pyramidal triacosihexecontateron
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| Rhombipyramidal pyramidal triacosihexecontateron | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | m3m3o3m3m |
| Elements | |
| Tera | 360 rhombic pyramidal pyramids |
| Cells | 720 irregular tetrahedra, 360 rhombic pyramids |
| Faces | 180 isosceles triangles, 240+240+360 scalene triangles, 90 rhombi |
| Edges | 90+180+240+240+360 |
| Vertices | 12+20+30 |
| Vertex figure | 12 rhombipyramidal hexecontachora, 30 triakis tetrahedral tegums, 20 hexagonal duotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Celliprismatotruncatododecateron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | A5×2, order 1440 |
| Convex | Yes |
| Nature | Tame |
The rhombipyramidal-pyramidal triacosihexecontateron is a convex isoteric polyteron with 360 identical rhombic pyramidal pyramids as tera. It can be obtained as the dual of the celliprismatotruncatododecateron.