Trihexagonal tiling prism

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

Trihexagonal tiling prism
Rank4
TypeUniform
SpaceEuclidean
Notation
Coxeter diagramo6x3o2x ()
Elements
Cellstriangular prisms, ∞ hexagonal prisms, 2 trihexagonal tilings
Facestriangles, ∞ squares, ∞ hexagons
Edges∞+∞
Vertices
Vertex figureRectangular pyramid
Related polytopes
ArmyTrihexagonal tiling prism
RegimentTrihexagonal tiling prism
Abstract & topological properties
OrientableYes
Properties
SymmetryV3×A1
ConvexYes
NatureTame

Vertex coordinates edit

A trihexagonal tiling prism of edge length 1 has vertex coordinates given by, where   range over the integers:

  •  ,
  •  .

External links edit