Great birhombated pentacontatetrapeton

Great birhombated pentacontatetrapeton
Rank	6
Type	Uniform
Notation
Bowers style acronym	Gabrim
Coxeter diagram	x3x3x3x3x *c3o ()
Elements
Peta	54 great prismatodemipenteracts 72 great cellidodecatera 432 great rhombated pentachoric prisms
Tera	2160 triangular-square duoprisms 720 hexagonal duoprisms 2160 truncated tetrahedral prisms 2160 truncated octahedral prisms 864 great rhombated pentachora 864 great prismatodecachora 270 tesseractihexadecachora
Vertices	25920
Vertex figure	Irregular hexateron
Measures (edge length 1)
Circumradius	${\sqrt {29}}\approx 5.38516$
Hypervolume	${\frac {3555057{\sqrt {3}}}{80}}\approx 76969.24185$
Central density	1
Number of external pieces	558
Related polytopes
Army	Gabrim
Regiment	Gabrim
Conjugate	None
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	E6×2, order 103680
Convex	Yes
Nature	Tame

The great birhombated pentacontatetrapeton or gabrim, also called the bicantitruncated 1₂₂ polytope, is a convex uniform polypeton. It consists of 54 great prismated demipenteracts, 72 great cellidodecatera, and 432 great rhombated pentachoric prisms. 2 great prismated demipenteracts, 2 great cellidodecatera, and 2 great rhombated pentachoric prisms join at each vertex.