Great cellated icositetrachoric tetracomb

The great cellated icositetrachoric tetracomb or gacicot, also called the omnitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 1 great prismatotetracontoctachoron, 1 great disprismatotesseractihexadecachoron, 1 great rhombicuboctahedral prism, 1 truncated octahedral prism, and 1 hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the omnitruncation of the icositetrachoric tetracomb or its dual hexadecachoric tetracomb.

Great cellated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGacicot
Coxeter diagramx3x4x3x3x ()
Elements
Tera32N hexagonal duoprisms, 24N truncated octahedral prisms, 12N great rhombicuboctahedral prisms, 3N great disprismatotesseractihexadecachora, N great prismatotetracontoctachora
Cells144N cubes, 96N+96N+96N+96N+96N hexagonal prisms, 72N octagonal prisms, 48N truncated octahedra, 24N+24N great rhombicuboctahedra
Faces288N+288N+288N+288N+288N+288N squares, 192N+192N+192N hexagons, 144N octagons
Edges576N+576N+576N+576N+576N
Vertices1152N
Vertex figureIrregular pentachoron, edge lengths 2 (6), 3 (3), and 2+2 (1)
Related polytopes
ArmyGacicot
RegimentGacicot
ConjugateGreat quasicellated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

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