Great hecatonicosihexacosintercepted dishecatonicosachoron

Great hecatonicosihexacosintercepted dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ghixanady
Elements
Cells	600 truncated octahedra, 120 dodecadodecahedra, 120 truncated great icosahedra, 120 rhombidodecadodecahedra
Faces	3600 squares, 1440 pentagons, 720+1440 pentagrams, 1200+2400 hexagons
Edges	3600+7200
Vertices	3600
Vertex figure	Inverted wedge, edge lengths √2 (4), (1+√5)/2 (2), (√5–1)/2 (3), and √3 (6)
Measures (edge length 1)
Circumradius	${\sqrt {7-2{\sqrt {5}}}}\approx 1.58993$
Hypervolume	$15{\frac {877{\sqrt {5}}-1605}{4}}\approx 1335.11856$
Dichoral angles	Raded–5–did: 108°
	Did–5/2–tiggy: 108°
	Tiggy–6–toe: $\arccos \left({\frac {\sqrt {7-3{\sqrt {5}}}}{4}}\right)\approx 82.23876^{\circ }$
	Raded–5/2–raded: 72°
	Raded–4–toe: 45°
	Toe–6–toe: $\arccos \left({\frac {1+3{\sqrt {5}}}{8}}\right)\approx 15.52249^{\circ }$
Related polytopes
Army	Srahi
Regiment	Sirgashi
Conjugate	Small hecatonicosihexacosintercepted dishecatonicosachoron
Abstract & topological properties
Euler characteristic	2640
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great hecatonicosihexacosintercepted dishecatonicosachoron, or ghixanady, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 rhombidodecadodecahedra, 120 truncated great icosahedra, and 600 truncated octahedra. One dodecadodecahedron, two rhombidodecadodecahedra, two truncated great icosahedra, and four truncated octahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#212).