Transorthotransbiblended disnub disoctachoron
|Transorthotransbiblended disnub disoctachoron|
|Bowers style acronym||Totabib desdo|
|Cells||8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, 16+16 cuboctahedra|
|Faces||1312 triangles, 192 squares|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||D4+, order 96|
The transorthotransbiblended disnub disoctachoron, or totabib desdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, and 16+16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, four tetrahemihexahedra, and four cuboctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 8 rectified tesseractihemioctachora. In the process, some of the octahedron cells blend out.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
Related polychora[edit | edit source]
The blend components and facet counts of the transorthotransbiblended disnub disoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:
- cisorthocisbiblended disnub disoctachoron,
- cisorthotransbiblended disnub disoctachoron,
- transorthocisbiblended disnub disoctachoron.
There are other idtessids that it shares blend components with, but that have different facet counts. Those are the:
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1900).
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