Orthocisbiblended disnub disoctachoron

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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

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.

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 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 | edit source]