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arXiv · 2209.11162

Abstract art generated by Thue-Morse correlation functions

Darren C. Ong
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Abstract

The Thue-Morse sequence is an aperiodically ordered infinite binary sequence. It is used as a one-dimensional way to model the structure of a quasicrystal. For example, taking autocorrelations of these sequences (roughly, measuring how similar a Thue-Morse sequence is to translates of itself) we can gain understanding of the diffraction patterns of quasicrystals. We generate abstract art images from these Thue-Morse autocorrelation functions, that capture the aperiodic structure of the Thue-Morse sequence in a compelling way.

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Darren C. Ong. 2022-09-20. Abstract art generated by Thue-Morse correlation functions. https://arxiv.org/abs/2209.11162

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