Small tripesic dodecahedronary dishecatonicosachoron

From Polytope Wiki
(Redirected from Sitpodady)
Jump to navigation Jump to search
Small tripesic dodecahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSitpodady
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)
Circumradius1
Hypervolume
Dichoral anglesSidtid–3–gike: 120º
 Sidtid–5/2–sidtid: 72º
Central density40
Number of external pieces30240
Level of complexity55
Related polytopes
ArmyEx, edge lenght
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[edit | edit source]

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

External links[edit | edit source]