Orthocistransbiblended disnub disoctachoron
|Orthocistransbiblended disnub disoctachoron|
|Bowers style acronym||Octabeb desdo|
|Cells||8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32+32 tetrahemihexahedra, 16+16 cuboctahedra|
|Faces||1440 triangles, 192 squares|
|Measures (edge length 1)|
|Conjugate||Orthocistransbiblended disnub disoctachoron|
|Abstract & topological properties|
|Symmetry||D4+, order 96|
The orthocistransbiblended disnub disoctachoron, or octabeb desdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32+32 tetrahemihexahedra, and 16+16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten 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]
There are other idtessids that it shares blend components with, but that have different facet counts. The first of a similar group of these is the cisorthocisbiblended disnub disoctachoron, and another is the cistransorthobiblended disnub disoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1901).
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