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

DOI10.1007/BF01218349zbMath0655.05025MaRDI QIDQ1109042

S. E. Burkov

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

8-fold rotational symmetryplanar quasicrystalline tiling

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (10)

Local rules for pentagonal quasi-crystals ⋮ Meyer's concept of quasicrystal and quasiregular sets ⋮ Weak local rules for planar octagonal tilings ⋮ A general approach to Ammann bars for aperiodic tilings ⋮ Canonical projection tilings defined by patterns ⋮ No weak local rules for the \(4_p\)-fold tilings ⋮ Local rules for quasiperiodic tilings of quadratic 2-planes in \({\mathbb{R}{}}^ 4\) ⋮ Weak colored local rules for planar tilings ⋮ Local rules for multi-dimensional quasicrystals ⋮ When periodicities enforce aperiodicity

Cites Work

• Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings
• Phyllotaxis of flux lattices in layered superconductors

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