Great ditrigonary hexacosihecatonicosiprismatohecatonicosachoron

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Great ditrigonary hexacosihecatonicosiprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidtixhiphi
Elements
Cells120 ditdid, 120 ided, 720 dip, 600 cho
Faces5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateSidtixhiphi
Abstract & topological properties
Euler characteristic3840
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great ditrigonary hexacosihecatonicosiprismatohecatonicosachoron, or gidtixhiphi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecadodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Two ditrigonary dodecadodecahedra, six icosidodecadodecahedra, twelve decagonal prisms, and six cubohemioctahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links[edit | edit source]