Small complexihecatonicosachoron

Small complexihecatonicosachoron
Rank	4
Type	ECC Uniform
Notation
Bowers style acronym	Sachi
Elements
Components	1 faceted hexacosichoron 1 great hecatonicosachoron
Cells	120 small complex icosidodecahedra
Faces	1200 triangles 720 pentagons
Edges	720
Vertices	120
Vertex figure	Compound of great dodecahedron and small stellated dodecahedron
Measures (edge length 1)
Circumradius	${\frac {1+{\sqrt {5}}}{2}}\approx 1.61803$
Edge radius	${\frac {\sqrt {5+2{\sqrt {5}}}}{2}}\approx 1.53884$
Inradius	${\frac {3+{\sqrt {5}}}{4}}\approx 1.30902$
Number of external pieces	2400
Level of complexity	4
Related polytopes
Army	Ex
Regiment	Ex
Conjugate	Great complexihecatonicosachoron
Convex core	Hecatonicosachoron
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Exotic

The small complexihecatonicosachoron, or sachi, is an ECC uniform polychoron compound. It has 120 small complex icosidodecahedra as cells.