Small disnub trishexacosichoron

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Small disnub trishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadistex
Elements
Cells600 great dodecahedra, 600 truncated dodecahedra, 600 small dodecicosidodecahedra, 2400 golden hexagrammic antiprisms
Faces12000+14400 triangles, 7200 pentagons, 2400 golden hexagrams, 7200 decagons
Edges7200+7200+14400
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Srix
RegimentSadsadox
ConjugateGadistex
Abstract & topological properties
Euler characteristic13800
OrientableYes
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small disnub trishexacosichoron, or sadistex, is a nonconvex uniform polychoron that consists of 600 great dodecahedra, 600 truncated dodecahedra, 600 small dodecicosidodecahedra, and 4800 octahedra (some of which lie in the same hyperplanes, forming 2400 golden hexagrammic antiprisms). Two great dodecahedra, ten truncated dodecahedra, ten small dodecicosidodecahedra, and eight octahedra (eight compounds) join at each vertex.

It can be obtained as the blend of 5 rixhi and 5 ipixady. 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]