Small ditrigonary dishecatonicosihecatonicosachoron

Small ditrigonary dishecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sidtid hihy
Elements
Cells	120 sidtid, 120 raded, 120 gidditdid
Faces	2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gidtid hihy
Abstract & topological properties
Euler characteristic	1440
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary dishecatonicosihecatonicosachoron, or sidtid hihy, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 rhombidodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Two small ditrigonary icosidodecahedra, six rhombidodecadodecahedra, and six 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.

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1156).