Great ditrigonary dishecatonicosachoron

Great ditrigonary dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidditdy
Coxeter diagram	(o3/2x5o3x5/4*a3*c *b5/3*d)/2
Elements
Cells	120 great ditrigonary icosidodecahedra, 120 great ditrigonal dodecicosidodecahedra
Faces	2400 triangles, 1440 pentagons, 720 decagrams
Edges	7200
Vertices	1200
Vertex figure	Tripod trapezoprism, edge lengths 1 and (1+√5)/2 (base) and √(5–√5)/2 (sides)
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Hypervolume	$5\left(70+33{\sqrt {5}}\right)\approx 718.95122$
Dichoral angles	Gidtid–5–gidditdid: 144°
	Gidtid–3–gidditdid: 120°
	Gidditdid–10/3–gidditdid: 108°
Related polytopes
Army	Rahi, edge length ${\frac {3-{\sqrt {5}}}{2}}$
Regiment	Rissidtixhi
Conjugate	Small ditrigonary dishecatonicosachoron
Abstract & topological properties
Flag count	86400
Euler characteristic	–1680
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great ditrigonary dishecatonicosachoron, or gidditdy, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 great ditrigonal dodecicosidodecahedra. 2 great ditrigonary icosidodecahedra and 6 great ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

Related polychora

Rissidtixhi regiment

Index	Name	OBSA	Company	Subcategory
1147	Rectified small ditrigonary hexacosihecatonicosachoron	Rissidtixhi	Rissidtixhi	Main nine
1148	Rectified ditrigonary dishecatonicosachoron	Ridtidohi	Ridtidohi	Main nine
1149	Rectified great ditrigonary hexacosihecatonicosachoron	Riggidtixhi	Riggidtixhi	Main nine
1150	Small ditrigonary dishecatonicosachoron	Sidditdy	Sidditdy	Main nine
1151	Retroditrigonary dishecatonicosachoron	Ridditdy	Ridditdy	Main nine
1152	Great ditrigonary dishecatonicosachoron	Gidditdy	Gidditdy	Main nine
1153	Ditrigonary hexacosidishecatonicosachoron	Dittixdy		Main nine
1154	Ditrigonary trishecatonicosachoron	Dittathi		Main nine
1155	Toroidal ditrigonary hexacosidishecatonicosachoron	Todtixady		Main nine
1156	Small ditrigonary dishecatonicosihecatonicosachoron	Sidtid hihy		Sixteen trapezics
1157	Ditrigonary hecatonicosidishecatonicosachoron	Dithidy		Sixteen trapezics

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1152).

• Klitzing, Richard. "gidditdy".