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arXiv · 2107.04108

An Integer Linear Programming Model for Tilings

Gennaro Auricchio·Luca Ferrarini·Greta Lanzarotto
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Abstract

In this paper, we propose an Integer Linear Model whose solutions are the aperiodic rhythms tiling with a given rhythm A. We show how this model can be used to efficiently check the necessity of the Coven-Meyerowitz's $(T2)$ condition and also to define an iterative algorithm that finds all the possible tilings of the rhythm A. To conclude, we run several experiments to validate the time efficiency of this model.

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Gennaro Auricchio, Luca Ferrarini, Greta Lanzarotto. 2021-07-08. An Integer Linear Programming Model for Tilings. https://arxiv.org/abs/2107.04108

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