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Article Dans Une Revue Philosophical Magazine Année : 2006

Discrete quasiperiodic sets with predefined covering cluster

Nicolae Cotfas
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Résumé

Some of the most remarkable tilings and discrete quasiperiodic sets used in quasicrystal physics can be obtained by using strip projection method in a superspace of dimension four, five or six, and the projection of a unit hypercube as a window of selection. We present some mathematical results which allow one to use this very elegant method in superspaces of dimension much higher, and to generate discrete quasiperiodic sets with a more complicated local structure by starting from the corresponding covering cluster. Hundreds of points of these sets can be obtained in only a few minutes by using our computer programs.

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Dates et versions

hal-00513581 , version 1 (01-09-2010)

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Nicolae Cotfas. Discrete quasiperiodic sets with predefined covering cluster. Philosophical Magazine, 2006, 86 (06-08), pp.895-900. ⟨10.1080/14786430500263413⟩. ⟨hal-00513581⟩

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