Small disnub dishexacosihexacosichoron

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Small disnub dishexacosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSidsadixox
Elements
Cells600 compounds of 1 regular icosahedron and 1 great dodecahedron, 600 small rhombicosidodecahedra, 2400 golden hexagrammic antiprisms
Faces12000+14400 triangles, 9000 squares, 7200 pentagons, 2400 golden hexagrams
Edges7200+7200+14400
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Srix
RegimentSadsadox
ConjugateGidsadixox
Abstract & topological properties
Euler characteristic15600
OrientableYes
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small disnub dishexacosihexacosichoron, or sidsadixox, is a nonconvex uniform polychoron that consists of 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each of them), 600 small rhombicosidodecahedra, and 4800 octahedra (which form 2400 golden hexagrammic antiprisms). Two icosahedra and two truncated dodecahedra (two compounds), ten small rhombicosidodecahedra, and eight octahedra (eight compounds) join at each vertex.

It can be obtained as the blend of 5 rox and 5 nipixady. 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 small disnub dishexacosichoron.

External links[edit | edit source]