Great skewverted dishexacosidishecatonicosachoron

Great skewverted dishexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gik vadixady
Coxeter diagram	o3/2x3x3x5/2*a3*c
Elements
Cells	600 octahemioctahedra, 600 truncated octahedra, 120 small icosicosidodecahedra, 120 quasirhombicosidodecahedra
Faces	2400+2400 triangles, 3600 squares, 1440 pentagrams, 2400+2400 hexagons
Edges	7200+7200+7200
Vertices	7200
Vertex figure	Crossed skewed wedge, base edge lengths 1, 1, (√5–1)/2; lateral edge lengths √2, √3, √3
Measures (edge length 1)
Circumradius	${\sqrt {13-4{\sqrt {5}}}}\approx 2.03188$
Hypervolume	$65{\frac {265-77{\sqrt {5}}}{2}}\approx 3016.73989$
Dichoral angles	Qrid–3–oho: $\arccos \left(-{\frac {\sqrt {10}}{4}}\right)\approx 142.23876^{\circ }$
	Oho–6–toe: $\arccos \left({\frac {1-3{\sqrt {5}}}{8}}\right)\approx 135.52249^{\circ }$
	Qrid–5/2–siid: 108°
	Siid–3–oho: $\arccos \left(-{\frac {\sqrt {7-3{\sqrt {5}}}}{4}}\right)\approx 97.76124^{\circ }$
	Siid–6–toe: $\arccos \left({\frac {\sqrt {7-3{\sqrt {5}}}}{4}}\right)\approx 82.23876^{\circ }$
	Qrid–4–toe: 45°
Related polytopes
Army	Semi-uniform Grix
Regiment	Gik vixathi
Conjugate	Small skewverted dishexacosidishecatonicosachoron
Abstract & topological properties
Euler characteristic	–1200
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great skewverted dishexacosidishecatonicosachoron, or gik vadixady, is a nonconvex uniform polychoron that consists of 600 octahemioctahedra, 600 truncated octahedra, 120 small icosicosidodecahedra, and 120 quasirhombicosidodecahedra. 1 octahemioctahedron, 1 small icosicosidodecahedron, 1 quasirhombicosidodecahedron, and 2 truncated octahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 14: Skewverts" (#570).

• Klitzing, Richard. "gik vadixady".