Great dishecatonicosintercepted dishecatonicosachoron

Great dishecatonicosintercepted dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gid hinady
Elements
Cells	120 great icosidodecahedra, 120 truncated dodecahedra, 120 small icosicosidodecahedra, 120 icosidodecatruncated icosidodecahedra
Faces	1200+2400 triangles, 1440 pentagrams, 2400 hexagons, 1440 decagons, 720 decagrams
Edges	3600+7200
Vertices	3600
Vertex figure	Inverted wedge, edge lengths 1 (3), (1+√5)/2 (2), √3 (4), √(5+√5)/2 (4), and √(5–√5)/2 (2)
Measures (edge length 1)
Circumradius	${\sqrt {\frac {15+3{\sqrt {5}}}{2}}}\approx 3.29456$
Hypervolume	$5{\frac {5065+2279{\sqrt {5}}}{4}}\approx 12701.2487$
Dichoral angles	Siid–5/2–gid: 144°
	Siid–3–siid: 120°
	Siid–6–idtid: 120°
	Idtid–10/3–idtid: 108°
	Gid–3–tid: 60°
	Idtid–10–tid: 36°
Related polytopes
Army	Semi-uniform srix
Regiment	Swavixady
Conjugate	Medial hecatonicosintercepted trishecatonicosachoron
Abstract & topological properties
Euler characteristic	1920
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great dishecatonicosintercepted dishecatonicosachoron, or gid hinady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 small icosicosidodecahedra, 120 truncated dodecahedra, and 120 icosidodecatruncated icosidodecahedra. One great icosidodecahedron, two small icosicosidodecahedra, two truncated dodecahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.

Vertex coordinates

The vertices are the same as those of the regiment colonel, the small sphenoverted hexacosidishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#261).