Great prismated pentacontatetrapeton

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Great prismated pentacontatetrapeton
Rank6
TypeUniform
Notation
Bowers style acronymGopam
Coxeter diagramx3x3x3x3x *c3x ()
Elements
Peta54 great prismated triacontaditera
72 great cellidodecatera
432 great prismatodecachoric prisms
720 hexagonal duoprismatic prisms
Tera2160+4320+4320 square-hexagonal duoprisms
1440 hexagonal duoprisms
2160+2160 truncated octahedral prisms
864+864 great prismatodecachora
270 truncated icositetrachora
Cells6480+6480+6480+12960 cubes
8640+8640+8640+8640+8640 hexagonal prisms
2160+4320+4320 truncated octahedra
Faces12960+12960+25920+25920+25920+25920 squares
8640+17280+17280 hexagons
Edges51840+51840+25920+25920
Vertices51840
Vertex figureIrregular hexateron
Measures (edge length 1)
Circumradius
Hypervolume
Central density1
Number of external pieces1278
Related polytopes
ArmyGopam
RegimentGopam
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryE6×2, order 103680
ConvexYes
NatureTame

The great prismated pentacontatetrapeton or gopam, also called the runcicantitruncated 122 polytope, is a convex uniform polypeton. It consists of 54 great prismated triacontaditera, 72 great cellidodecatera, 432 great prismatodecachoric prisms, and 720 hexagonal duoprismatic prisms. 2 great prismated triacontaditera, 1 great cellidodecateron, 1 great prismatodecachoric prism, and 1 hexagonal duoprismatic prism join at each vertex.

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