Hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosichoron |
---|
|
Rank | 4 |
---|
Type | Uniform |
---|
Notation |
---|
Bowers style acronym | Hixquitphix |
---|
Coxeter diagram | x3x3x5x5/3*b () |
---|
Elements |
---|
Cells | 720 decagonal prisms, 600 truncated octahedra, 120 great quasitruncated icosidodecahedra, 120 icosidodecatruncated icosidodecahedra |
---|
Faces | 3600+3600 squares, 2400+2400 hexagons, 1440 decagons, 1440 decagrams |
---|
Edges | 7200+7200+7200+7200 |
---|
Vertices | 14400 |
---|
Vertex figure | Irregular tetrahedron, edge lengths √2 (2), √3 (2), √(5+√5)/2 (1), and √(5–√5)/2 (1) |
---|
Measures (edge length 1) |
---|
Circumradius | |
---|
Hypervolume | |
---|
Dichoral angles | Toe–6–gaquatid: |
---|
| Idtid–10–dip: 126° |
---|
| Gaquatid–4–dip: |
---|
| Idtid–10/3–gaquatid: 108° |
---|
| Toe–4–dip: |
---|
| Idtid–6–toe: |
---|
Number of external pieces | 717960 |
---|
Level of complexity | 1883 |
---|
Related polytopes |
---|
Army | Semi-uniform Gidpixhi, edge lengths (sides of hexagonal prisms), (remaining edges of dipentagons), (bases of hexagonal prisms) |
---|
Regiment | Hixquitphix |
---|
Conjugate | Hecatonicosihexacositruncated prismatohecatonicosihexacosichoron |
---|
Convex core | Hecatonicosachoron |
---|
Abstract & topological properties |
---|
Flag count | 345600 |
---|
Euler characteristic | –1080 |
---|
Orientable | Yes |
---|
Properties |
---|
Symmetry | H4, order 14400 |
---|
Convex | No |
---|
Nature | Tame |
---|
The hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosichoron, or hixquitphix, is a nonconvex uniform polychoron that consists of 720 decagonal prisms, 600 truncated octahedra, 120 great quasitruncated icosidodecahedra, and 120 icosidodecatruncated icosidodecahedra. 1 of each type of cell join at each vertex.
Vertex coordinates for a hecatonicosihexacosiquasitruncated prismatohecatonicosihexacosichoron of edge length 1 are given by all permutations of:
plus all even permutations of: