# Small tripesic dodecahedronary dishecatonicosachoron

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Small tripesic dodecahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Coxeter diagramo5/2o3o5/2x3*b ()
Elements
Cells120 great icosahedra, 120 small ditrigonary icosidodecahedra
Faces2400 triangles, 720 pentagrams
Edges1200
Vertices120
Vertex figureFissary truncated great icosahedron, edge lengths (5–1)/2 (edges of pentagrams) and 1 (remaining edges)
Measures (edge length 1)
Hypervolume${\displaystyle 5{\frac {21{\sqrt {5}}-5}{4}}\approx 52.44678}$
Dichoral anglesSidtid–3–gike: 120º
Sidtid–5/2–sidtid: 72º
Central density40
Number of external pieces30240
Level of complexity55
Related polytopes
ArmyEx, edge lenght ${\displaystyle {\frac {{\sqrt {5}}-1}{2}}}$
RegimentSishi
ConjugateGreat tripesic dodecahedronary dishecatonicosachoron
Abstract & topological properties
Flag count43200
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small tripesic dodecahedronary dishecatonicosachoron, or sitpodady, is a nonconvex fissary uniform polychoron that consists of 120 regular great icosahedra and 120 small ditrigonary icosidodecahedra. 12 great icosahedra and 20 small ditrigonary icosidodecahedra join at each vertex.

It is fissary due to the fact the edges coincide by 3, with a compound edge figure.

It can be formed as a holosnub grand hecatonicosachoron.

## Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.