Small retroinverted ditetrahedronary dishecatonicosachoron

Small retroinverted ditetrahedronary dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sridatady
Elements
Cells	120 gidtid, 120 saddid
Faces	2400 triangles, 1440 pentagons, 720 decagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gadtardy
Abstract & topological properties
Flag count	86400
Euler characteristic	1320
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The small retroinverted ditetrahedronary dishecatonicosachoron, or sridatady, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 small dodecicosidodecahedra. Four great ditrigonary icosidodecahedra and twelve small dodecicosidodecahedra 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" (#797).