Great skewverted prismatohexacositetrishecaconicosachoron

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Great skewverted prismatohexacositetrishecaconicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGikkiv pixathi
Elements
Cells120 gaquatid, 120 qrid, 600 oho, 120 siid, 120 idtid, 720 dip
Faces4800 triangles, 7200 squares, 1440 pentagrams, 4800 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200+7200
Vertices7200
Vertex figureWindowed skewed wedge
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGik vixathi
ConjugateSkiv pixathi
Abstract & topological properties
Euler characteristic4920
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great skewverted prismatohexacositetrishecaconicosachoron, or gikkiv pixathi, is a nonconvex uniform polychoron that consists of 120 great quasitruncated icosidodecahedra, 120 quasirhombicosidodecahedra, 600 octahemioctahedra, 120 small icosicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, and 720 decagonal prisms. Two great quasitruncated icosidodecahedra, one quasirhombicosidodecahedron, one octahemioctahedron, one small icosicosidodecahedron, two icosidodecatruncated icosidodecahedra, and two decagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]