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Absence of weak local rules for the planar quasicrystalline tiling with the 8-fold rotational symmetry

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Abstract

Levitov's theory of local rules (the preceding paper of this issue) gives no prediction for the planar quasicrystalline tiling having 8-fold rotational symmetry. Absence of weak local rules for this particular tiling is proven.

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References

  1. Levitov, L.S.: The preceding paper of this issue

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  5. Khintchin, A.Ya.: Continued fractions. New York: Dover 1967

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Moscow, USSR

    S. E. Burkov

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  1. S. E. Burkov
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Communicated by Ya. G. Sinai

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Burkov, S.E. Absence of weak local rules for the planar quasicrystalline tiling with the 8-fold rotational symmetry. Commun.Math. Phys. 119, 667–675 (1988). https://doi.org/10.1007/BF01218349

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  • DOI: https://doi.org/10.1007/BF01218349

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