Great hecatonicosidishecatonicosachoron

Great hecatonicosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ghidy
Elements
Cells	120 truncated great icosahedra, 120 truncated great dodecahedra, 120 small dodecicosahedra
Faces	1440 pentagrams, 2400 hexagons, 1440 decagons
Edges	3600+7200
Vertices	3600
Vertex figure	Butterfly wedge, edge lengths (√5–1)/2 (bases), √3 (sides of outer triangles), and √(5+√5)/2 (sides of inner triangles0
Measures (edge length 1)
Circumradius	${\sqrt {\frac {11-{\sqrt {5}}}{2}}}\approx 2.09332$
Dichoral angles	Siddy–6–tiggy: 120°
	Siddy–10–tigid: 72°
	Tiggy–5/2–tigid: 36°
Related polytopes
Army	Semi-uniform srix
Regiment	Swavathi
Conjugate	Small hecatonicosidishecatonicosachoron
Abstract & topological properties
Euler characteristic	–2280
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great hecatonicosidishecatonicosachoron, or ghidy, is a nonconvex uniform polychoron that consists of 120 truncated great icosahedra, 120 small dodecicosahedra, and 120 truncated great dodecahedra. 2 of each type of cell join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#272).