Grand rhombic great hexacosihecatonicosachoron

Grand rhombic great hexacosihecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gargixhi
Elements
Cells	600 cubohemioctahedra, 120 great quasitruncated icosidodecahedra
Faces	3600 squares, 2400 hexagons, 720 decagrams
Edges	3600+7200
Vertices	3600
Vertex figure	Crossed butterfly wedge, edge lengths √2 (4), √3 (4), and √(5–√5)/2 (2)
Measures (edge length 1)
Circumradius	${\sqrt {19-8{\sqrt {5}}}}\approx 1.05425$
Dichoral angles	Cho–6–gaquatid: $\arccos \left(-{\frac {\sqrt {10}}{4}}\right)\approx 142.23876^{\circ }$
	Cho–4–gaquatid: 45°
	Gaquatid–10/3–gaquatid: 36°
Related polytopes
Army	Semi-uniform srahi
Regiment	Sirgax
Conjugate	Grand rhombic small hexacosihecatonicosachoron
Abstract & topological properties
Euler characteristic	–1200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The grand rhombic great hexacosihecatonicosachoron, or gargixhi, is a nonconvex uniform polychoron that consists of 600 cubohemioctahedra and 120 great quasitruncated icosidodecahedra. Two cubohemioctahedra and four great quasitruncated icosidodecahedra join at each vertex.

Vertex coordinates

The vertices are the same as those of the regiment colonel, the small rhombated grand hexacosichoron.

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#218).