Transblended disnub triacontadiadisoctachoron

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Transblended disnub triacontadiadisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymTabdestido
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 64 tetrahemihexahedra, 32 cubohemioctahedra
Faces1184 triangles, 192 squares, 64 hexagons
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateTransblended disnub triacontadiadisoctachoron
Abstract & topological properties
Euler characteristic288
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

The transblended disnub triacontadiadisoctachoron, or tabdestido, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 64 tetrahemihexahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, four tetrahemihexahedra, and four cubohemioctahedra join at each vertex.

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecaoctahemihexadecachora. 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 transblended disnub triacontadiadisoctachoron are the same as those of two other idtessids, differing only in orientation. Those are the:

External links[edit | edit source]