Transorthocisbiblended disnub disoctachoron

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Transorthocisbiblended disnub disoctachoron
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymTocibab desdo
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, 16+16 cuboctahedra
Faces1312 triangles, 192 squares
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateNone
Abstract & topological properties
Euler characteristic352
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

The transorthocisbiblended disnub disoctachoron, or tocibab 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 transorthocisbiblended disnub disoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:

There are other idtessids that it shares blend components with, but that have different facet counts. Those are the:

External links[edit | edit source]