Apeirogonal prism

Apeirogonal prism
Apeirogonal prism
Type Semiregular tiling
Vertex configuration
4.4.∞
Schläfli symbol t{2,∞}
Wythoff symbol 2 ∞ | 2
Coxeter diagram
Symmetry [∞,2], (*∞22)
Rotation symmetry [∞,2]+, (∞22)
Bowers acronym Azip
Dual Apeirogonal bipyramid
Properties Vertex-transitive

In geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms; it can be considered an infinite polyhedron or a tiling of the plane.[1]

Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard.[citation needed]

If the sides are squares, it is a uniform tiling. If colored with two sets of alternating squares it is still uniform.[citation needed]

  1. ^ Conway (2008), p.263