Apeirogonal prism

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. Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard. If the sides are squares, it is a uniform tiling. In general, it can have two sets of alternating congruent rectangles. Its truncated form can have alternate colored square faces: Its dual tiling is an apeirogonal bipyramid:

Apeirogonal prism

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. Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard. If the sides are squares, it is a uniform tiling. In general, it can have two sets of alternating congruent rectangles. Its truncated form can have alternate colored square faces: Its dual tiling is an apeirogonal bipyramid: