Abstract
Using a general construction method, sets of prototiles (with more than one element) are obtained which admit a countable infinity of distinct tilings. In contrast to the tilings described in a previous paper, in this case almost all the tilings are periodic. In particular, sets of two, three, four, and five prototiles are described.
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P. Schmitt, Pairs of tiles which admit finitely or countably infinitely many tilings,Geom. Dedicata,20 (1986), 133–142.
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Schmitt, P. σ-Morphic sets of prototiles. Discrete Comput Geom 2, 271–295 (1987). https://doi.org/10.1007/BF02187884
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DOI: https://doi.org/10.1007/BF02187884