Great tritrigonary prismatohexacosicubitrishecatonicosachoron

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Great tritrigonary prismatohexacosicubitrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGetit pixacthi
Elements
Cells120 compound of five cubes, 600 tetrahedra, 120 truncated great icosahedra, 120 great dodecicosahedra, 120 quasirhombicosidodecahedra, 720 decagrammic prisms
Faces2400 triangles, 7200 squares, 1440 pentagrams, 2400 hexagons, 1440 decagrams
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentGetit xethi
ConjugateStut pixacthi
Abstract & topological properties
Euler characteristic4200
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great tritrigonary prismatohexacosicubitrishecatonicosachoron, or getit pixacthi, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 600 tetrahedra, 120 truncated great icosahedra, 120 great dodecicosahedra, 120 quasirhombicosidodecahedra, and 720 decagrammic prisms. Two cubes (one compound), one tetrahedron, three truncated great icosahedra, three great dodecicosahedra, three quasirhombicosidodecahedra, and six decagrammic prisms join at each vertex.

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]