Cisretroblended disnub triacontadiadisoctachoron

From Polytope Wiki
Jump to navigation Jump to search
Cisretroblended disnub triacontadiadisoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymCrab dastedo
Elements
Cells8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 octahemioctahedra, 16 cubohemioctahedra
Faces1184 triangles, 96 squares, 64 hexagons
Edges288+384+96+48
Vertices96
Measures (edge length 1)
Circumradius1
Related polytopes
ArmySadi
RegimentDisdi
ConjugateNone
Abstract & topological properties
Euler characteristic240
OrientableNo
Properties
SymmetryD4+, order 96
ConvexNo

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

It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 octadishemioctachora. 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 cisretroblended disnub triacontadiadisoctachoron are the same as those of the transretroblended disnub triacontadiadisoctachoron, differing only in orientation.

External links[edit | edit source]