Small based dipentary hexacositetrishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Small based dipentary hexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSabdip xuthi
Elements
Cells120 gike, 120 ike, 600 oho, 120 ri, 120 sird
Faces4800 triangles, 3600 squares, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat based dipentary hexacositetrishecatonicosachoron
Abstract & topological properties
Flag count201600
Euler characteristic4680
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small based dipentary hexacositetrishecatonicosachoron, or sabdip xuthi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 600 octahemioctahedra, 120 rhombicosahedra, and 120 small rhombidodecahedra. One great icosahedron, one icosahedron, five octahemioctahedra, five rhombicosahedra, and five small rhombidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links[edit | edit source]