Chamfered hecatonicosachoron
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Chamfered hecatonicosachoron | |
---|---|
Rank | 4 |
Elements | |
Cells | 120 dodecahedra, 720 pentagonal bifrustums |
Faces | 1440 pentagons, 3600 isosceles trapezoids |
Edges | 1200+2400+3600 |
Vertices | 600+2400 |
Vertex figures | 600 cubes |
2400 triangular pyramids | |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Icosakis rectified hexacosichoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | Yes |
Nature | Tame |
The chamfered hecatonicosachoron is a convex polychoron. It has 120 dodecahedra and 720 pentagonal bifrustums as cells. It can be obtained as the convex core of a hecatonicosachoron with hyperplanes passing under each pentagon face. It can also be made by truncating a joined hecatonicosachoron at 120 vertices of an inscribed hexacosichoron.
It is the convex core of several uniform polychora: garphi, pinpixhi, sophi, quipdohi.