Great notched trischiliahexacosichoron
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Great notched trischiliahexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform dual |
Notation | |
Coxeter diagram | m5o3m3o () |
Elements | |
Cells | 3600 notches |
Faces | 3600 isosceles triangles, 7200 scalene triangles |
Edges | 720+2400+2400+3600 |
Vertices | 120+600+1200 |
Vertex figure | 1200 triangular bipyramids, 600 cubes, 120 deltoidal hexecontahedra |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Small rhombated hecatonicosachoron |
Abstract & topological properties | |
Flag count | 129600 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | Yes |
Nature | Tame |
The great notched trischiliahexacosichoron is a convex isochoric polychoron with 3600 notches as cells. It can be obtained as the dual of the small rhombated hecatonicosachoron.
It can also be constructed as the convex hull of a hecatonicosachoron, a hexacosichoron, and a rectified hecatonicosachoron. If the hecatonicosachoron has edge length 1, the hexacosichoron has edge length and the rectified hecatonicosachoron has edge length .