Transorthoblended disnub triacontadiadisoctachoron

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Transorthoblended disnub triacontadiadisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymTobidastado
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 cuboctahedra
Faces1184 triangles, 96 squares
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateNone
Abstract & topological properties
Euler characteristic176
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

The transorthoblended disnub triacontadiadisoctachoron, or tobidastado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, two tetrahemihexahedra, and two cuboctahedra join at each vertex.

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 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 transorthoblended disnub triacontadiadisoctachoron are the same as those of the cisorthoblended disnub triacontadiadisoctachoron, differing only in orientation.

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

External links[edit | edit source]