Great tritrigonary trishecatonicosiprismatohexacosihexacosichoron

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Great tritrigonary trishecatonicosiprismatohexacosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGetit thipixox
Elements
Cells120 sidtid, 600 tet, 120 tiggy, 600 co, 720 stiddip, 120 gaquatid
Faces4800 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 thipixox
Abstract & topological properties
Euler characteristic6600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great tritrigonary trishecatonicosiprismatohexacosihexacosichoron, or getit thipixox, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 600 tetrahedra, 120 truncated great icosahedra, 600 cuboctahedra, 720 decagrammic prisms, and 120 great quasitruncated icosidodecahedra. One small ditrigonary icosidodecahedron, one tetrahedron, three truncated great icosahedra, three cuboctahedra, six decagrammic prisms, and six great quasitruncated icosidodecahedra 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]