Ditrigonary pentishecatonicosachoron

Ditrigonary pentishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Dittophi
Elements
Cells	120 gid, 120 id, 120 gidditdid, 120 siid, 120 ri
Faces	4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Dithiuthi
Abstract & topological properties
Euler characteristic	6000
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The ditrigonary pentishecatonicosachoron, or dittophi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 120 rhombicosahedra. Three great icosidodecahedra, three icosidodecahedra, six great ditrigonal dodecicosidodecahedra, six small icosicosidodecahedra, and six rhombicosahedra 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" (#1203).