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Beauquier, D., Nivat, M., Rémila, E., Robson, M.: Tiling figures of the plane with two bars. Comput. Geom. 5, 1–25 (1995)
Brooks, R., Smith, C., Stone, A., Tutte, W.: The dissection of rectangles into squares. Duke Math. J. 7, 312–340 (1940)
Conway, J., Lagarias, J.: Tiling with polyominoes and combinatorial group theory. J. Comb. Theory, Ser. A 53, 183–208 (1990)
Duijvestijn, A.: Simple perfect squared square of lowest order. J. Comb. Theory, Ser. B 25, 240–243 (1978)
Elkies, N., Kuperberg, G., Larsen, M., Propp, J.: Alternating sign matrices and domino tilings I, II. J. Algebr. Comb. 1, 111–132, 219–234 (1992)
Escher, M.C.: “The Magic of M. C. Escher” (edited and with Introduction by J.L. Locher). Thames & Hudson Ltd., London (2000)
Fisher, M., Temperley, H.: Dimer problem in statistical mechanics – an exact result. Philos. Mag. 6, 1061–1063 (1961)
Freiling, C., Rinne, D.: Tiling a square with similar rectangles. Math. Res. Lett. 1, 547–558 (1994)
Gardner, M.: Extraordinary nonperiodic tiling that enriches the theory of tiles. Sci. Am. 236, 110–121 (1977)
Grünbaum, B., Shephard, G.: Tilings and patterns. W.H. Freeman and Company, New York (1987)
Jockusch, W., Propp, J., Shor, P.: Random domino tilings and the Arctic circle theorem. Preprint 1995, arXiv:math.CO/9801068
Kasteleyn, P.: The statistics of dimers on a lattice I. The number of dimer arrangements on a quadratic lattice. Phys. 27, 1209–1225 (1961)
Laczkovich, M., Szekeres, G.: Tilings of the square with similar rectangles. Discrete Comput. Geom. 13, 569–572 (1995)
Propp, J.: Lattice structure for orientations of graphs. Preprint 1994
Stein, S., Szabó, S.: Algebra and tiling. Homomorphisms in the service of geometry. Mathematical Association of America, Washington, DC (1994)