Bibliography
Robert Berger, The undecidability of the domino problem,Memoirs of the American Math. Society, no. 66, 1—72, 1966.
Karl A. Dahlke, The Y-hexomino has order 92,Journal of Combinatorial Theory, Series A, 51, 125–126 (1989).
Karl A. Dahlke, A heptomino of order 76,Journal of Combinatorial Theory, Series A, 127—128 (1989).
Karl A. Dahlke, Solomon W. Golomb and Herbert Taylor, An octomino of high order,Journal of Combinatorial Theory, Series A, 70,157–158 (1995).
Martin Gardner, Mathematical Games: On “rep-tiles”, polygons that can make larger and smaller copies of themselves,Scientific American, 208, 154–164 (1963).
Solomon W. Golomb, Replicating figures in the plane,Mathematical Gazette, 48, 403–412 (1964).
Solomon W. Golomb, Tiling with polyominoes,Journal of Combinatorial Theory, 1, 280–296 (1966).
Solomon W. Golomb, Tiling with sets of polyominoes,Journal of Combinatorial Theory, 9, 60–71 (1970).
Solomon W. Golomb, Polyominoes which tile rectangles,Journal of Combinatorial Theory, Series A, 51,117–124 (1989).
B. Grünbaum and G.C. Shephard,Tilings and Patterns, Freeman, New York (1987).
A.S. Kahr, E.F. Moore, and H. Wang, Entscheidungsproblem reduced to the ∀∃∀ case.Proceedings, National Academy of Sciences USA, 48, 365–377, 1962.
David A. Klarner, Packing a rectangle with congruent N-ominoes,Journal of Combinatorial Theory, 7, 107–115 (1969).
William Rex Marshall, private communications dated 14 May, 1990, 25 November, 1991, and 6 June, 1995. Roger Penrose,Shadows of the Mind, Oxford University Press, 1994.
Michael Reid, private communications from 1992 to 1995. Ian Stewart and A. Wormstein, Polyominoes of order 3 do not exist,Journal of Combinatorial Theory, Series A, 61, 130–136, 1992.
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Gale, D., Golomb, S.W. & Haas, R. Mathematical entertainments. The Mathematical Intelligencer 18, 38–47 (1996). https://doi.org/10.1007/BF03027292
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DOI: https://doi.org/10.1007/BF03027292