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A106751
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Define the morphism f: 1->111112, 2->22223, 3->1; sequence gives trajectory of 1 under f.
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0
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1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1
(list;
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OFFSET
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0,6
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COMMENTS
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An inflation rule which does not produce quasiperiodicity.
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REFERENCES
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E. Bombieri and J. Taylor, Which distribution of matter diffracts? An initial investigation, in International Workshop on Aperiodic Crystals (Les Houches, 1986), J. de Physique, Colloq. C3, 47 (1986), C3-19 to C3-28.
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LINKS
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MATHEMATICA
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Nest[Flatten[ # /. {1 -> {1, 1, 1, 1, 1, 2}, 2 -> {2, 2, 2, 2, 3}, 3 -> 1}] &, {1}, 3] (* Robert G. Wilson v, May 16 2005 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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