Great tritrigonary hexacosiprismatodishecatonicosihecatonicosachoron

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Great tritrigonary hexacosiprismatodishecatonicosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGetit xippady hi
Elements
Cells120 gidtid, 120 gidditdid, 600 co, 1200 hip, 120 gaquatid
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 xippady hi
Abstract & topological properties
Euler characteristic6720
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great tritrigonary hexacosiprismatodishecatonicosihecatonicosachoron, or getit xippady hi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 600 cuboctahedra, 1200 hexagonal prisms, and 120 great quasitruncated icosidodecahedra. One great ditrigonary icosidodecahedron, three great ditrigonal dodecicosidodecahedra, three cuboctahedra, six hexagonal 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]