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Original Articles

Discrete quasiperiodic sets with predefined covering cluster

Pages 895-900 | Received 02 May 2005, Accepted 15 Jul 2005, Published online: 19 Aug 2006
 

Abstract

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.

Acknowledgment

This work was supported by CERES project 4-129.

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