Great hexacosintercepted prismatodishecatonicosachoron

Great hexacosintercepted prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gixnapady
Elements
Cells	720 pentagrammic prisms, 600 truncated octahedra, 120 dodecadodecahedra, 120 icosidodecadodecahedra,
Faces	3600 squares, 1440 pentagons, 720+1440 pentagrams, 1200+2400 hexagons
Edges	3600+7200
Vertices	3600
Vertex figure	Windowed wedge, edge lengths √2 (4), (1+√5)/2 (2), (√5–1)/2 (3), √3 (6)
Measures (edge length 1)
Circumradius	${\sqrt {7-2{\sqrt {5}}}}\approx 1.58993$
Hypervolume	$15{\frac {520-213{\sqrt {5}}}{2}}\approx 327.88141$
Dichoral angles	Ided–6–toe: $\arccos \left(-{\frac {\sqrt {10}}{4}}\right)\approx 142.23876^{\circ }$
	Did–5/2–stip: 126°
	Ided–5–did: 108°
	Ided–5/2–ided: 72°
	Toe–4–stip: $\arccos \left({\sqrt {\frac {5-2{\sqrt {5}}}{10}}}\right)\approx 66.71747^{\circ }$
	Toe–6–toe: $\arccos \left({\frac {1+3{\sqrt {5}}}{8}}\right)\approx 15.52249^{\circ }$
Related polytopes
Army	Srahi
Regiment	Sirgashi
Conjugate	Small hexacosintercepted prismatodishecatonicosachoron
Abstract & topological properties
Euler characteristic	2640
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great hexacosintercepted prismatodishecatonicosachoron, or gixnapady, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 icosidodecadodecahedra, 720 pentagrammic prisms, and 600 truncated octahedra. One dodecadodecahedron, two icosidodecadodecahedra, two pentagrammic prisms, 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" (#213).