Great quasidisprismatohexacosihecatonicosachoron

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Great quasidisprismatohexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGaquidapixhi
Coxeter diagramx5/3x3x3x ()
Elements
Cells1200 hexagonal prisms, 720 decagrammic prisms, 600 truncated octahedra, 120 great quasitruncated icosidodecahedra
Faces3600+3600+3600 squares, 2400+2400 hexagons, 1440 decagrams
Edges7200+7200+7200+7200
Vertices14400
Vertex figureIrregular tetrahedron, edge lengths 2 (3), 3 (2), and (5–5)/2 (1)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesStiddip–4–hip:
 Gaquatid–10/3–stiddip: 126°
 Gaquatid–4–hip:
 Gaquatid–6–toe:
 Toe–4–stiddip:
 Toe–6–hip:
Central density409
Number of external pieces1616400
Level of complexity6651
Related polytopes
ArmySemi-uniform Gidpixhi, edge lengths (squares of great rhombicosidodecahedra), (remaining edges of great rhombicosidodecahedra), (edges not in great rhombicosidodecahedra)
RegimentGaquidapixhi
ConjugateGreat disprismatohexacosihecatonicosachoron
Convex coreHexacosichoron
Abstract & topological properties
Flag count345600
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great quasidisprismatohexacosihecatonicosachoron, or gaquidapixhi, is a nonconvex uniform polychoron that consists of 1200 hexagonal prisms, 720 decagrammic prisms, 600 truncated octahedra, and 120 great quasitruncated icosidodecahedra. 1 of each type of cell join at each vertex. It is the quasiomnitruncate of the grand hexacosichoron and the great grand stellated hecatonicosachoron.

Cross-sections[edit | edit source]

Vertex coordinates[edit | edit source]

Vertex coordinates for a great quasidisprismatohexacosihecatonicosachoron of edge length 1 are given by all permutations of:

plus all even permutations of:

External links[edit | edit source]