Ambotruncatotetrahedral hecatonicosachoron
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| Ambotruncatotetrahedral hecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Matehi |
| Elements | |
| Cells | 120 truncated tetrahedra, 120 chiral rectified truncated tetrahedra |
| Faces | 480 triangles, 720 isosceles triangles, 480 ditrigons |
| Edges | 720+1440 |
| Vertices | 720 |
| Vertex figure | Mirror-symmetric triangular prism |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Notched heptacosicosachoron |
| Abstract & topological properties | |
| Flag count | 25920 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●H3, order 1440 |
| Convex | Yes |
| Nature | Tame |
The ambotruncatotetrahedral hecatonicosachoron or matehi is a convex isogonal polychoron that consists of 120 chiral rectified truncated tetrahedra and 120 truncated tetrahedra. 3 rectified truncated tetrahedra and 2 truncated tetrahedra join at each vertex. However, it cannot be made scaliform.