Great rhombitrihexagonal tiling prism

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Great rhombitrihexagonal tiling prism
Rank4
TypeUniform
SpaceEuclidean
Notation
Coxeter diagramx6x3x2x ()
Elements
Cellscubes, ∞ hexagonal prisms, ∞ dodecagonal prisms, 2 great rhombitrihexagonal tilings
Faces∞+∞ squares, ∞ hexagons, ∞ dodecagons
Edges∞+∞+∞+∞
Vertices
Vertex figureIrregular tetrahedron
Related polytopes
ArmyGreat rhombitrihexagonal tiling prism
RegimentGreat rhombitrihexagonal tiling prism
Abstract & topological properties
OrientableYes
Properties
SymmetryV3×A1
ConvexYes
NatureTame

The great rhombitrihexagonal tiling prism is a prismatic uniform honeycomb of the Euclidean plane. It consists of 2 great rhombitrihexagonal tilings, ∞ cubes, ∞ hexagonal prisms, and ∞ dodecagonal prisms. Each vertex joins 1 great rhombitrihexagonal tiling, 1 cube, 1 hexagonal prism, and 1 dodecagonal prism. It is a prism based on the great rhombitrihexagonal tiling.

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