Abstract art generated by Thue-Morse correlation functions
Statistical Mechanics
2022-09-23 v1
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.
Cite
@article{arxiv.2209.11162,
title = {Abstract art generated by Thue-Morse correlation functions},
author = {Darren C. Ong},
journal= {arXiv preprint arXiv:2209.11162},
year = {2022}
}
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20 pages