Disprismatodisicositetrachoron
(Redirected from Dipdi)
Disprismatodisicositetrachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Dipdi |
Elements | |
Cells | 96+96 triangular prisms, 24 truncated cubes, 24 small cubicuboctahedra |
Faces | 192+192 triangles, 72+288 squares, 144 octagons |
Edges | 288+288 |
Vertices | 144 |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Trip–4–trip: |
Socco–8–tic: 90° | |
Socco–4–socco: 90° | |
Tic–3–trip: 90° | |
Socco–3–trip: 30° | |
Related polytopes | |
Army | Spic |
Regiment | Spic |
Conjugate | disprismatointercepted disicositetrachoron |
Abstract & topological properties | |
Flag count | 14976 |
Euler characteristic | 216 |
Orientable | No |
Properties | |
Symmetry | F4, order 1152 |
Convex | No |
Nature | Wild |
The disprismatodisicositetrachoron, or dipdi, is a nonconvex uniform polychoron that consists of 24 small cubicuboctahedra, 24 truncated cubes, and 192 triangular prisms. Four small cubicuboctahedra, four truncated cubes, and eight triangular prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#525).
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