Dodecagonal tilings almost covered by a single cluster

S. I. Ben-Abraham, P. Gummelt, R. Lück, F. Gähler

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A single covering cluster cannot produce a rigorously quasiperiodic dodecagonal structure but may almost do so and thus be relevant to real quasicrystals. Such 'almost covering' patches are shown for the ship, shield, square-triangle and Socolar tiling. The 'almost covering' of the Socolar tiring has a fractal feature.

Original languageEnglish
Pages (from-to)313-316
Number of pages4
Issue number1
StatePublished - 1 Jan 2001


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