Elongated triangular tiling prism

From Polytope Wiki
Jump to navigation Jump to search
Elongated triangular tiling prism
Rank4
TypeUniform
SpaceEuclidean
Elements
Cellstriangular prisms, ∞ cubes, 2 elongated triangular tilings
Facestriangles, ∞+∞ squares
Edges∞+∞+∞+∞
Vertices
Vertex figureIrregular pentagonal pyramid
Related polytopes
ArmyElongated triangular tiling prism
RegimentElongated triangular tiling prism
Abstract & topological properties
OrientableYes
Properties
Symmetry(W2❘W2+)×A1
ConvexYes
NatureTame

The elongated triangular tiling prism is a prismatic uniform honeycomb of the Euclidean plane. It consists of 2 elongated triangular tilings, ∞ triangular prisms, and ∞ cubes. Each vertex joins 1 elongated triangular tiling, 3 triangular prisms, and 2 cubes. It is a prism based on the elongated triangular tiling.

Vertex coordinates[edit | edit source]

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

  • .

External links[edit | edit source]