Rectified stellated hexadecaexon

Rectified stellated hexadecaexon
Rank	7
Type	Uniform
Notation
Bowers style acronym	Rush
Elements
Components	2 rectified octaexa
Exa	16 heptapeta, 16 rectified heptapeta
Peta	112 hexatera, 56 rectified hexatera
Tera	336 pentachora, 112 rectified pentachora
Cells	560 tetrahedra, 140 octahedra
Faces	112+560 triangles
Edges	336
Vertices	56
Vertex figure	Hexateric prism, edge length 1
Measures (edge length 1)
Circumradius	${\frac {\sqrt {3}}{2}}\approx 0.86603$
Hypervolume	${\frac {1}{168}}\approx 0.0059524$
Diexal angles	Ril–hix–hop: $\arccos \left(-{\frac {1}{7}}\right)98.21321^{\circ }$
	Ril–rix–ril: $\arccos \left({\frac {1}{7}}\right)81.78679^{\circ }$
Height	${\frac {2{\sqrt {7}}}{7}}\approx 0.75593$
Related polytopes
Army	Naq
Regiment	Rush
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	A7×2, order 80640
Convex	No
Nature	Tame

The rectified stellated hexadecaexon, or rush, is a uniform compound of two rectified octaexa. It consists of 16 regular heptapeta and 16 rectified heptapeta. Two heptapeta and 6 rectified heptapeta join at each hexateric prismatic vertex. As the name suggests, it is the rectification of the stellated hexadecaexon.

The hecatonicosihexapentacosiheptacontahexaexon, or 3₂₁ polytope, can be obtained as the convex hull of this compound. This compound is in a subregiment of it.