Hemibiblended disnub disoctachoron

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Hemibiblended disnub disoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymHobbisado
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 128 tetrahemihexahedra, 64 cuboctahedra
Faces64+64+64+96+96+96+192+192+192+192+192 triangles, 192+192 squares
Edges48+96+192+192+192
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateHemibiblended disnub disoctachoron
Abstract & topological properties
Euler characteristic608
OrientableNo
Properties
SymmetryB4/2, order 192
ConvexNo
NatureWild

The hemibiblended disnub disoctachoron, or hobbisado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 128 tetrahemihexahedra, and 64 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, six octahedra, eight tetrahemihexahedra, and eight cuboctahedra join at each vertex.

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 8 octahexadecahemihexadecachora. 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.

External links[edit | edit source]