Small retroinverted ditetrahedronary trishecatonicosachoron

Small retroinverted ditetrahedronary trishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sridtathi
Elements
Cells	120 sidtid, 120 doe, 120 id
Faces	2400 triangles, 1440 pentagons, 720 pentagrams
Edges	3600
Vertices	600
Vertex figure	Semi-uniform truncated tetrahedron, edge lengths 1 (triangle edges) and (√5–1)/2 (other edges)
Edge figure	(doe 5 id 3 sidtid 5/2 sidtid 3 id 5)
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Number of external pieces	7320
Level of complexity	17
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gaid tathi
Abstract & topological properties
Flag count	72000
Euler characteristic	1200
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small retroinverted ditetrahedronary trishecatonicosachoron, or sridtathi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 dodecahedra, and 120 icosidodecahedra. Four small ditrigonary icosidodecahedra, four dodecahedra, and six icosidodecahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#784).

• Klitzing, Richard. "sridtathi".