Small stellated dishexacosichoron

Small stellated dishexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sisdex
Elements
Components	10 sishi
Cells	1200 small stellated dodecahedra as 600 pentagrammatic snub pseudodisoctahedra
Faces	7200 pentagrams
Edges	2400+7200
Vertices	1200 as 600 fissary
Vertex figure	Compound of two dodecahedra, edge length (√5-1)/2
Measures (edge length 1)
Circumradius	$1$
Inradius	${\frac {1+{\sqrt {5}}}{4}}\approx 0.80902$
Hypervolume	$75{\frac {5-{\sqrt {5}}}{2}}\approx 103.64745$
Dichoral angle	$144^{\circ }$
Central density	40
Related polytopes
Army	Hi
Regiment	Sisdex
Dual	Faceted snub decahecatonicosachoron
Conjugate	Great grand dishexacosichoron
Properties
Symmetry	H4, order 14400
Nature	Tame

The small stellated dishexacosichoron is a uniform polychoron compound. It is a compound of ten small stellated hecatonicosachora. It is also a compound of two enantiomorphs of the small stellated chirohexacosichoron.

The small stellated dishexacosichoron contains the vertices and edges of the tetrasnub antipodic disdecachoron.