Inverticisblended disnub hexecontatetradisoctachoron

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Inverticisblended disnub hexecontatetradisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymIcbidisgado
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 32+32 tetrahemihexahedra, 32 cuboctahedra
Faces1440 triangles, 192 squares
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateNone
Abstract & topological properties
Euler characteristic448
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

The inverticisblended disnub hexecontatetradisoctachoron, or icbidisgado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 32+32 tetrahemihexahedra, and 32 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, four tetrahemihexahedra, and four cuboctahedra join at each vertex.

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron, 4 icositetrachora, and 4 great 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 inverticisblended disnub hexecontatetradisoctachoron are the same as those of the invertitransblended disnub hexecontatetradisoctachoron, differing only in orientation.

External links[edit | edit source]