Great tritrigonary hexacosiprismatocubitrishecatonicosachoron

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Great tritrigonary hexacosiprismatocubitrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGetit xapacthi
Elements
Cells120 compound of five cubes, 720 pentagonal prisms, 120 quasitruncated great stellated dodecahedra, 600 cuboctahedra, 120 great icosicosidodecahedra, 120 great quasitruncated icosidodecahedra
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 xapacthi
Abstract & topological properties
Euler characteristic6600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great tritrigonary hexacosiprismatocubitrishecatonicosachoron, or getit xapacthi, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 720 pentagonal prisms, 120 quasitruncated great stellated dodecahedra, 600 cuboctahedra, 120 great icosicosidodecahedra, and 120 great quasitruncated icosidodecahedra. Two cubes (one compound), three pentagonal prisms, three quasitruncated great stellated dodecahedra, three cuboctahedra, three great icosicosidodecahedra, and six great quasitruncated icosidodecahedra 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]