Small rhombic disoctachoron
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Small rhombic disoctachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sirdo |
Elements | |
Cells | 32 triangular prisms, 8 truncated cubes, 8 small rhombihexahedra |
Faces | 64 triangles, 96 squares, 48 octagons |
Edges | 96+192 |
Vertices | 96 |
Vertex figure | Butterfly wedge, edge lengths 1 (bases), √2 (ides of outer triangles), and √2+√2 (sides of inner triangles) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Sroh–4–trip: |
Sroh–8–tic: 90° | |
Tic–3–trip: 90° | |
Related polytopes | |
Army | Srit |
Regiment | Srit |
Conjugate | Great rhombic disoctachoron |
Convex core | Tesseract |
Abstract & topological properties | |
Flag count | 3840 |
Euler characteristic | –32 |
Orientable | No |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The small rhombic disoctachoron, or sirdo, is a nonconvex uniform polychoron that consists of 8 truncated cubes, 8 small rhombihexahedra, and 32 triangular prisms. 2 of each type of cell join at each vertex.
It can be constructed as a blend of four truncated cubic prisms. In the process the octagonal prisms blend into small rhombihexahedra.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated tesseract.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#142).