Great tritrigonary prismatohexacosiprismatotrishecatonicosachoron

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Great tritrigonary prismatohexacosiprismatotrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGetit pixipthi
Elements
Cells120 gidtid, 600 tet, 120 quit gissid, 120 giid, 1200 hip, 720 stiddip
Faces4800 triangles, 7200 squares, 1440 pentagons, 2400 hexagons, 1440 decagrams
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentGetit xethi
ConjugateStut pixipthi
Abstract & topological properties
Euler characteristic6000
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great tritrigonary prismatohexacosiprismatotrishecatonicosachoron, or getit pixipthi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 600 tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 great icosicosidodecahedra, 1200 hexagonal prisms, and 720 decagrammic prisms. One great ditrigonary icosidodecahedron, one tetrahedron, three quasitruncated great stellated dodecahedra, three great icosicosidodecahedra, six hexagonal prisms, and six decagrammic prisms 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 great tritrigonary hexacositrishecatonicosachoron.

External links[edit | edit source]