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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Levitov, L.S.: The preceding paper of this issue
Beenker, F.: Eindhoven University of Technology, TH-Report 82-WSK-04, Sept. 1982
Duneau, M., Katz, A.: J. Phys.47, 181 (1986)
Gahler, F., Rhyner, J.: J. Phys. A19, 267 (1986)
Khintchin, A.Ya.: Continued fractions. New York: Dover 1967
Author information
Authors and Affiliations
Additional information
Communicated by Ya. G. Sinai
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01218349