Great ditrigonary hecatonicosidishecatonicosachoron

Great ditrigonary hecatonicosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidthidy
Elements
Cells	120 ditdid, 120 ided, 120 siddy
Faces	1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Sidthidy
Abstract & topological properties
Euler characteristic	–360
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary hecatonicosidishecatonicosachoron, or gidthidy, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecadodecahedra, and 120 small dodecicosahedra. Two ditrigonary dodecadodecahedra, six icosidodecadodecahedra, and six small dodecicosahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1179).