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In geometry, an **apeirogonal antiprism** or **infinite antiprism** is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron or a tiling of the plane.

If the sides are equilateral triangles, it is a uniform tiling. In general, it can have two sets of alternating congruent isosceles triangles, surrounded by two half-planes.

It can be constructed by an alternation operation applied to an apeirogonal prism:

## 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.