Great tritrigonary dishexacosidishecatonicosachoron

Great tritrigonary dishexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit dixady
Coxeter diagram	x3x3o3o5/3*a3/2*c ()
Elements
Cells	600 tetrahedra, 600 octahemioctahedra, 120 small ditrigonary icosidodecahedra, 120 truncated great icosahedra
Faces	2400+2400 triangles, 1440 pentagrams, 2400 hexagons
Edges	3600+7200
Vertices	2400
Vertex figure	Crossed triangular cupola, edge lengths 1 (top triangle and 3 edges of base ditrigon), (√5–1)/2 (remaining base edges), and √3 (side edges)
Measures (edge length 1)
Circumradius	${\sqrt {8-3{\sqrt {5}}}}\approx 1.13657$
Hypervolume	$5{\frac {815-358{\sqrt {5}}}{4}}\approx 18.10958$
Dichoral angles	Oho–6–tiggy: $\arccos \left(-{\frac {\sqrt {10}}{4}}\right)\approx 142.23876^{\circ }$
	Sidtid–3–oho: $\arccos \left({\frac {\sqrt {7-3{\sqrt {5}}}}{4}}\right)\approx 82.23876^{\circ }$
	Sidtid–5/2–tiggy: 72°
	Tet–3–oho: $\arccos \left({\frac {3{\sqrt {5}}-1}{8}}\right)\approx 44.47751^{\circ }$
Related polytopes
Army	Semi-uniform sidpixhi
Regiment	Getit xethi
Conjugate	Small tritrigonary dishexacosidishecatonicosachoron
Abstract & topological properties
Euler characteristic	–1200
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great tritrigonary dishexacosidishecatonicosachoron, or getit dixady, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 truncated great icosahedra, 600 octahemioctahedra, and 120 small ditrigonary icosidodecahedra. 1 tetrahedron, 3 truncated great icosahedra, 3 octahemioctahedra, and 1 small ditrigonary icosidodecahedron join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 25: Getit xethi Regiment" (#1386).

• Klitzing, Richard. "getit dixady".