Great prismated icositetrachoric tetracomb

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Great prismated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGippict
Coxeter diagramx3x4x3x3o ()
Elements
Tera32N triangular-hexagonal duoprisms, 24N truncated tetrahedral prisms, 3N great rhombated tesseracts, N great prismatotetracontoctachora
Cells96N+96N triangular prisms, 96N+96N hexagonal prisms, 48N truncated tetrahedra, 12N+24N great rhombicuboctahedra
Faces192N triangles, 144N+288N+288N squares, 96N+192N hexagons, 72N octagons
Edges288N+288N+288N+576N
Vertices576N
Vertex figureSphenoidal pyramid, edge lengths 1 (1), 2 (5), 3 (3), and 2+2 (1)
Related polytopes
ArmyGippict
RegimentGippict
ConjugateGreat quasiprismated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The great prismated icositetrachoric tetracomb or gippict, also called the runcicantitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 2 great prismatotetracontoctachora, 1 great rhombated tesseract, 1 truncated tetrahedral prism, and 1 triangular-hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantitruncation of the icositetrachoric tetracomb.

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