Cisorthotransbiblended disnub disoctachoron

The cisorthotransbiblended disnub disoctachoron, or cotebab 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.

Cisorthotransbiblended disnub disoctachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Cotebab desdo
Elements
Cells	8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32 tetrahemihexahedra, 16+16 cuboctahedra
Faces	1312 triangles, 192 squares
Edges	288+384+96+48
Vertices	96
Measures (edge length 1)
Circumradius	1
Related polytopes
Army	Sadi
Regiment	Disdi
Conjugate	None
Abstract & topological properties
Euler characteristic	352
Orientable	No
Properties
Symmetry	D4+, order 96
Convex	No

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

Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.

Related polychora

The blend components and facet counts of the cisorthotransbiblended disnub disoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:

• cisorthocisbiblended disnub disoctachoron,
• transorthocisbiblended disnub disoctachoron,
• transorthotransbiblended disnub disoctachoron.

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

• cistransorthobiblended disnub disoctachoron,
• orthocistransbiblended disnub disoctachoron.

External links

• Bowers, Jonathan. "Category 30: Idtessids" (#1898).