Small retroinverted dishecatonicosacoincidic hecatonicosachoron

Small retroinverted dishecatonicosacoincidic hecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Srid hichi
Elements
Cells	120 icosahedra 120 great dodecahedra 120 small dodecicosidodecahedra
Faces	2400 triangles 1440 pentagons 720 decagons
Edges	3600
Vertices	720
Vertex figure	Faceting of pentagonal prism
Edge figure	ike.saddid.saddid.gad.saddid.saddid
Measures (edge length 1)
Circumradius	${\sqrt {5+2{\sqrt {5}}}}\approx 3.07768$
Hypervolume	$\approx 3067.88690$
Related polytopes
Army	Rox
Regiment	Rox
Conjugate	Grand dishecatonicosacoincidic hecatonicosachoron
Convex core	Hecatonicosachoron
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Exotic

The small retroinverted dishecatonicosacoincidic hecatonicosachoron is an ECC uniform polychoron that consists of 120 icosahedra, 120 great dodecahedra, and 120 small dodecicosidodecahedra. 2 icosahedra, 2 great dodecahedra, and 10 small dodecicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.