Apeirogonal prism

It is also called an infinite square prism. 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.

An alternation operation can create an apeirogonal antiprism composed of three triangles and one apeirogon at each vertex.

References

• T. Gosset: On the Regular and Semi-Regular Figures in Space of n Dimensions, Messenger of Mathematics, Macmillan, 1900
• Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. W. H. Freeman and Company. ISBN 0-7167-1193-1.