Retrofrustary trisicositetrachoron
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Retrofrustary trisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Rifti |
Elements | |
Cells | 24 quasirhombicuboctahedra, 24 small cubicuboctahedra, 24 small rhombihexahedra |
Faces | 192 triangles, 144+288 squares, 144 octagons |
Edges | 576+576 |
Vertices | 288 |
Vertex figure | Blend of 2 crossed skewed wedges |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Socco–8–sroh: 135° |
Querco–4–sroh: 90° | |
Querco–4–socco: 90° | |
Querco–3–socco: 60° | |
Related polytopes | |
Army | Cont, edge length |
Regiment | Afdec |
Conjugate | Antifrustary trisicositetrachoron |
Abstract & topological properties | |
Flag count | 13824 |
Euler characteristic | -168 |
Orientable | No |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Tame |
The retrofrustary trisicositetrachoron, or rifti, is a nonconvex uniform polychoron that consists of 24 quasirhombicuboctahedra, 24 small rhombihexahedra, and 24 small cubicuboctahedra. Two quasirhombicuboctahedra, two small rhombihexahedra, and two small cubicuboctahedra join at each vertex.
It can be constructed as a blend of three great skewverted prismatohexadecadisoctachora.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 15: Afdec Regiment" (#621).
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