Discrete quasiperiodic sets with predefined local structure
| dc.creator | Cotfas, Nicolae | |
| dc.date | 2004-05-10 | |
| dc.date | 2005-11-26 | |
| dc.date.accessioned | 2026-07-07T06:36:40Z | |
| dc.date.available | 2026-07-07T06:36:40Z | |
| dc.description | Model sets play a fundamental role in structure analysis of quasicrystals. The diffraction diagram of a quasicrystal admits as symmetry group a finite group G, and there is a G-cluster C (union of orbits of G) such that the quasicrystal can be regarded as a quasiperiodic packing of interpenetrating copies of C. We present an algorithm which leads from any G-cluster C directly to a multi-component model set Q such that the arithmetic neighbours of any point x belonging to Q are distributed on the sites of the translated copy x+C of C. Our mathematical algorithm may be useful in quasicrystal physics. | |
| dc.description | This is the revised version (19 pages, 3 figures) of a paper submitted to Journal of Geometry and Physics. Software for generating quasiperiodic discrete sets available at http://fpcm5.fizica.unibuc.ro/~ncotfas | |
| dc.identifier | https://arxiv.org/abs/math-ph/0405027 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0405027 | |
| dc.identifier | Journal of Geometry and Physics 56 (2006) 2415-2428 | |
| dc.identifier | doi:10.1016/j.geomphys.2005.12.008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100157 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 52C23 | |
| dc.title | Discrete quasiperiodic sets with predefined local structure | |
| dc.type | text |