Great retrofrustary prismatotetrishecatonicosachoron

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Great retrofrustary prismatotetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGirfupthi
Elements
Cells120 qrid 120 giddy, 120 sidditdid, 120 idtid, 1200 hip
Faces2400 triangles, 5400 squares, 1440 pentagrams, 3600 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateRifhipthi
Abstract & topological properties
Euler characteristic3240
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great retrofrustary prismatotetrishecatonicosachoron, or girfupthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great dodecicosahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, and 1200 hexagonal prisms. Two quasirhombicosidodecahedra, two great dodecicosahedra, two small ditrigonal dodecicosidodecahedra, four icosidodecatruncated icosidodecahedra, and four hexagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links[edit | edit source]