Small tritrigonary prismatotrishecatonicosiprismatohexacosichoron

From Polytope Wiki
Jump to navigation Jump to search
Small tritrigonary prismatotrishecatonicosiprismatohexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymStut pithipix
Elements
Cells120 ditdid, 600 tet, 720 stip, 120 saddid, 1200 hip, 120 grid
Faces2400 triangles, 7200 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagons
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentStut phiddix
ConjugateGetit pithipix
Abstract & topological properties
Euler characteristic5040
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small tritrigonary prismatotrishecatonicosiprismatohexacosichoron, or stut pithipix, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 600 tetrahedra, 720 pentagrammic prisms, 120 small dodecicosidodecahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. One ditrigonary dodecadodecahedron, one tetrahedron, three pentagrammic prisms, three small dodecicosidodecahedra, six hexagonal prisms, and six great rhombicosidodecahedra join at each vertex.

It also has compound of five cubes as pseudofacets.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.

External links[edit | edit source]