Algorithm for Generating Quasiperiodic Packings of Multi-Shell Clusters

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dc.creatorCotfas, Nicolae
dc.date2005-04-27
dc.date.accessioned2026-07-07T04:32:04Z
dc.date.available2026-07-07T04:32:04Z
dc.descriptionMany of the mathematical models used in quasicrystal physics are based on tilings of the plane or space obtained by using strip projection method in a superspace of dimension four, five or six. We present some mathematical results which allow one to use this very elegant method in spaces of dimension much higher and to generate directly quasiperiodic packings of multi-shell clusters. We show that in the case of a two-dimensional (resp. three-dimensional) cluster we have to compute only determinants of order three (resp. four), independently of the dimension of the superspace we use. The computer program based on our mathematical results is very efficient. For example, we can easily generate quasiperiodic packings of three-shell icosahedral clusters (icosahedron + dodecahedron + icosidodecahedron) by using strip projection method in a 31-dimensional space (hundreds of points are obtained in a few minutes on a personal computer).
dc.descriptionComputer program in FORTRAN 90 based on the strip projection method available on the website http://fpcm5.fizica.unibuc.ro/~ncotfas
dc.identifierhttps://arxiv.org/abs/math-ph/0504079
dc.identifierhttp://arxiv.org/abs/math-ph/0504079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58053
dc.subjectMathematical Physics
dc.subjectMaterials Science
dc.subjectComputational Physics
dc.subject52C23
dc.titleAlgorithm for Generating Quasiperiodic Packings of Multi-Shell Clusters
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