Tiles in quasicrystals with quartic irrationality

Hare, Kevin

doi:10.1090/S0025-5718-08-02137-6

Tiles in quasicrystals with quartic irrationality
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by Kevin G. Hare;

Math. Comp. 78 (2009), 405-420

DOI: https://doi.org/10.1090/S0025-5718-08-02137-6

Published electronically: May 14, 2008

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Abstract:

In 2003, Pelantová and Twarock did research into the number of, and types of, tiles found in 1-dimensional cut and project quasicrystals associated with 7-order symmetry. In this paper we extend this to symmetries of order 9 (degree 3), as well as orders 15, 16, 20 and 24 (degree 4). Some discussion of the next case, order 11 (degree 5), is given.

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