Dodecagonal tilings almost covered by a single cluster

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 covering7rdquo; of...

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Bibliographic Details
Published in:	Ferroelectrics Vol. 250; no. 1; pp. 313 - 316
Main Authors:	Ben-Abraham, S. I., Gummelt, P., Lück, R., Gähler, F.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	London Taylor & Francis Group 01-01-2001 Taylor and Francis
Subjects:	Condensed matter: structure, mechanical and thermal properties Exact sciences and technology Physics Quasicrystals Semi-periodic solids Structure of solids and liquids; crystallography Theoretical study Fractals Tiling Quasicrystals Atomic clusters Structural models
Online Access:	Get full text
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Summary:	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 covering7rdquo; of the Socolar tiling has a fractal feature.
Bibliography:	SourceType-Scholarly Journals-2 ObjectType-Feature-2 ObjectType-Conference Paper-1 content type line 23 SourceType-Conference Papers & Proceedings-1 ObjectType-Article-3
ISSN:	0015-0193 1563-5112
DOI:	10.1080/00150190108225090