Great ditrigonary trishecatonicosihecatonicosachoron

Great ditrigonary trishecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Giddit thihi
Elements
Cells	120 gidtid, 120 gid, 120 id, 120 sidditdid
Faces	4800 triangles, 1440 pentagons, 1440 pentagrams, 720 decagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Siddit thihi
Abstract & topological properties
Euler characteristic	1920
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary trishecatonicosihecatonicosachoron, or giddit thihi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 great icosidodecahedra, 120 icosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two great ditrigonary icosidodecahedra, three great icosidodecahedra, three icosidodecahedra, and six small ditrigonal dodecicosidodecahedra 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" (#1190).