Dodecagonal tilings almost covered by a single cluster

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

doi:10.1080/00150190108225090

Dodecagonal tilings almost covered by a single cluster

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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 language	English
Pages (from-to)	313-316
Number of pages	4
Journal	Ferroelectrics
Volume	250
Issue number	1
DOIs	https://doi.org/10.1080/00150190108225090
State	Published - 1 Jan 2001

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1080/00150190108225090

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title = "Dodecagonal tilings almost covered by a single cluster",

abstract = "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.",

author = "Ben-Abraham, \{S. I.\} and P. Gummelt and R. L{\"u}ck and F. G{\"a}hler",

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AU - Ben-Abraham, S. I.

AU - Gummelt, P.

AU - Lück, R.

AU - Gähler, F.

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Y1 - 2001/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0034821477

U2 - 10.1080/00150190108225090

DO - 10.1080/00150190108225090

M3 - Article

AN - SCOPUS:0034821477

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SP - 313

EP - 316

JO - Ferroelectrics

JF - Ferroelectrics

IS - 1

ER -

Dodecagonal tilings almost covered by a single cluster

Abstract

ASJC Scopus subject areas

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