Transinvertiblended disnub triacontadiadisoctachoron

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Transinvertiblended disnub triacontadiadisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymTibe destido
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32 octahemioctahedra
Faces1312 triangles, 64 hexagons
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateCisinvertiblended disnub triacontadiadisoctachoron
Abstract & topological properties
Euler characteristic256
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

The transinvertiblended disnub triacontadiadisoctachoron, or tibe destido, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, and 32 octahemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, and four octahemioctahedra join at each vertex.

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

External links[edit | edit source]