Tiling a square with eight congruent polyominoes
A polyomino is a rookwise connected tile formed by joining unit squares at their edges. A problem that has attracted attention is that of finding polyominoes that tile rectangles. \textit{W. R. Marshall} [J. Comb. Theory, Ser. A 77, No. 2, 181-192 (1997; Zbl 0867.05018)] gives a particular polyomino eight copies of which (and no fewer) tile a rectangle. The paper under review generalizes this construction to give an infinite family of polyominoes of rectangular order eight.
scientific article; zbMATH DE number 1212919