Hemitransblended disnub triacontadiadisoctachoron

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Hemitransblended disnub triacontadiadisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymHitabed stado
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32+32 tetrahemihexahedra, 16 cuboctahedra, 32 cubohemioctahedra
Faces1312 triangles, 288 squares, 64 hexagons
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateNone
Abstract & topological properties
Euler characteristic496
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

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

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecaocta-hemihexadecintercepted hemioctachora. 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 hemitransblended disnub triacontadiadisoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:

External links[edit | edit source]