Great quasidisprismatotesseractihexadecachoron
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Great quasidisprismatotesseractihexadecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gaquidpoth |
Coxeter diagram | x4/3x3x3x () |
Elements | |
Cells | 32 hexagonal prisms, 24 octagrammic prisms, 16 truncated octahedra, 8 quasitruncated cuboctahedra |
Faces | 96+96+96 squares, 64+64 hexagons, 48 octagrams |
Edges | 192+192+192+192 |
Vertices | 384 |
Vertex figure | Irregular tetrahedron, edge lengths √2 (3), √3 (2), and √2–√2 (1) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Stop–4–hip: |
Quitco–8/3–stop: 135° | |
Quitco–4–hip: | |
Quitco–6–toe: 60° | |
Toe–4–stop: 45° | |
Toe–6–hip: 30° | |
Number of external pieces | 536 |
Level of complexity | 104 |
Related polytopes | |
Army | Semi-uniform Gidpith, edge lengths (octagons), (remaining edges of great rhombicuboctahedra), 1 (sides of octagonal prisms) |
Regiment | Gaquidpoth |
Conjugate | Great disprismatotesseractihexadecachoron |
Convex core | Semi-uniform truncated hexadecachoron |
Abstract & topological properties | |
Flag count | 9216 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The great quasidisprismatotesseractihexadecachoron, or gaquidpoth, is a nonconvex uniform polychoron that consists of 32 hexagonal prisms, 24 octagrammic prisms, 16 truncated octahedra, and 8 quasitruncated cuboctahedra. 1 of each type of cell join at each vertex.
The great quasidisprismatotesseractihexadecachoron can be vertex-inscribed into a great prismatotrisicositetrachoron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Vertex coordinates for a great quasidisprismatotesseractihexadecachoron of edge length 1 are given by all permutations of:
External links[edit | edit source]
- Bowers, Jonathan. "Category 9: Omnitruncates" (#334).
- Klitzing, Richard. "gaquidpoth".