Omnitruncated 4 21 polytope

Omnitruncated 4 21 polytope
Rank	8
Type	Uniform
Notation
Bowers style acronym	Gupfy
Coxeter diagram	x3x3x3x3x3x3x *e3x ()
Elements
Zetta	240 omnitruncated 321 polytopes 6720 omnitruncated 122 polytope prisms 60480 hexagonal-great prismated triacontaditeric prisms 241920 truncated octahedral-great prismatodecachoric duoprisms 17280 omnitruncated 7-simplices 483840 hexagonal-great prismatodecachoric duoprismatic prisms 69120 omnitruncated 6-simplicial prisms 2160 omnitruncated 7-cubes
Edges	8×348364800
Vertices	696729600
Vertex figure	Irregular octaexon
Measures (edge length 1)
Circumradius	${\sqrt {310}}\approx 17.60682$
Central density	1
Number of external pieces	881760
Related polytopes
Army	Gupofy
Regiment	Gupofy
Conjugate	None
Abstract & topological properties
Flag count	28092137472000
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	E8, order 696729600
Flag orbits	40320
Convex	Yes
Nature	Tame

The omnitruncated 4₂₁ polytope, also called the great petated dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton, is a uniform 8-polytope. It consists of 240 omnitruncated 3₂₁ polytopes, 6720 omnitruncated 1₂₂ polytope prisms, 60480 hexagonal-great prismated triacontaditeric prisms, 241920 truncated octahedral-great prismatodecachoric duoprisms, 17280 omnitruncated 7-simplices, 483840 hexagonal-great prismatodecachoric duoprismatic prisms, 69120 omnitruncated 6-simplicial prisms, and 2160 omnitruncated 7-cubes.