Great prismatohexadecadisoctachoron
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Great prismatohexadecadisoctachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Giphado |
Coxeter diagram | x4/3x3x3/2o3*b() |
Elements | |
Cells | 32 triangular prisms, 16 octahemioctahedra, 8 quasitruncated hexahedra, 8 quasitruncated cuboctahedra |
Faces | 64+64 triangles, 96 squares, 64 hexagons, 48 octagrams |
Edges | 96+192+192 |
Vertices | 192 |
Vertex figure | Skewed bowtie pyramid, base edge lengths 1, √3, 1, √3; lateral edge lengths √2, √2, √2–√2, √2–√2 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Oho–6–quitco: 120° |
Quith–8/3–quitco: 90° | |
Oho–3–quith: 60° | |
Quitco–4–trip: | |
Oho–3–trip: 30° | |
Related polytopes | |
Army | Semi-uniform Prit, edge lengths (small rhombicuboctahedra), (sides of square prisms) |
Regiment | Quiproh |
Conjugate | Small prismatohexadecadisoctachoron |
Abstract & topological properties | |
Flag count | 6144 |
Euler characteristic | –16 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The great prismatohexadecadisoctachoron, or giphado, is a nonconvex uniform polychoron that consists of 32 triangular prisms, 16 octahemioctahedra, 8 quasitruncated hexahedra, and 8 quasitruncated cuboctahedra. 1 triangular prism, 1 quasitruncated hexahedron, 1 octahemioctahedron, and 2 quasitruncated cuboctahedra join at each vertex.
3 copies of this polychoron can blend to form the great pseudorhombic disicositetrachoron, with the octahemioctahedron cells blending out.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the quasiprismatorhombated hexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#380).
- Klitzing, Richard. "giphado".