Tiling a Square with Eight Congruent Polyominoes

Journal of Combinatorial Theory, Series A 83 (1998), no. 1, p. 158.

[DOI] [Zentralblatt]

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Marshall [1, Figure 9] gave an example of a polyomino, 8 copies of which tile a square. He asked if this was a sporadic example of a rectifiable polyomino, or if it could be generalized to give an infinite family. We give one way to generalize his tiling to give an infinite family of rectifiable polyominoes; we do not claim that it is the only way to generalize it.