Icosahedral multi-component model sets

Details Icosahedral multi-component model sets Icosahedral multi-component model sets

2003-10-15

arxiv.org/abs/math-ph/0310026v1

Journal of Physics A: Mathematical and General 37 (2004) 3125-3132

Physics

Mathematical Physics

7 pages, LaTeX2e in IOP style

Scientific paper

10.1088/0305-4470/37/9/005

A quasiperiodic packing Q of interpenetrating copies of C, most of them only partially occupied, can be defined in terms of the strip projection method for any icosahedral cluster C. We show that in the case when the coordinates of the vectors of C belong to the quadratic field Q[\sqrt{5}] the dimension of the superspace can be reduced, namely, Q can be re-defined as a multi-component model set by using a 6-dimensional superspace.

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