Orthocisbiblended disnub disoctachoron

The orthocisbiblended disnub disoctachoron, or ocbibadesdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, four tetrahemihexahedra, and two cuboctahedra join at each vertex.

Orthocisbiblended disnub disoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymOcbibadesdo
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, 16 cuboctahedra
Faces1376 triangles, 144 squares
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateOrthotransbiblended disnub disoctachoron
Abstract & topological properties
Euler characteristic352
OrientableNo
Properties
SymmetryB4/2, order 192
ConvexNo

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

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

Related polychora edit

The blend components of the orthocisbiblended disnub disoctachoron are the same as several other idtessids, differing in orientation and resultant facet counts. Those are the:

External links edit