Cisspinoblended disnub hexecontatetradisoctachoron

From Polytope Wiki
Jump to navigation Jump to search
Cisspinoblended disnub hexecontatetradisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymCinbad segado
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 32+32 tetrahemihexahedra, 32 cubohemioctahedra
Faces1312 triangles, 192 squares, 64 hexagons
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateNone
Abstract & topological properties
Euler characteristic384
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

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

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

It also has the same facet counts as the cisblended disnub hexecontatetradisoctachoron and the one similar to it, although the blend components are not the same.

External links[edit | edit source]