Small pseudorhombic disicositetrachoron
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Small pseudorhombic disicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Spirdy |
Elements | |
Cells | 96 triangular prisms, 24 truncated cubes, 24 great rhombicuboctahedra |
Faces | 192 triangles, 288 squares, 96 hexagons, 144 octagons |
Edges | 288+576 |
Vertices | 288 |
Vertex figure | Isosceles triangular retroprism, edge lengths 1 (2), √2 (4), √3 (2), and √2+√2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Tic–8–girco: 90° |
Girco–6–girco: 60° | |
Girco–4–trip: | |
Tic–3–trip: 30° | |
Related polytopes | |
Army | Srico |
Regiment | Srico |
Conjugate | Great pseudorhombic disicositetrachoron |
Convex core | Icositetrachoron |
Abstract & topological properties | |
Flag count | 13824 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Tame |
The small pseudorhombic disicositetrachoron, or spirdy, is a nonconvex uniform polychoron that consists of 24 truncated cubes, 96 triangular prisms, and 24 great rhombicuboctahedra. Two truncated cubes, two triangular prisms, and four great rhombicuboctahedra join at each vertex.
It can be constructed as the blend of 3 small prismatohexadecadisoctachora. In the process the octahemioctahedron cells blend out.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated icositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#154).