June 7, 2024Open Access

A tiling algorithm for the aperiodic monotile Tile(1,1)

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Abstract

An algorithm is provided to tile the plane with the aperiodic monotile Tile(1,1) recently discovered by Smith et al. (2023). Their geometric construction guidelines are expanded into a numerical MATLAB algorithm. The intention is to remove a possible obstacle for researchers interested in applications of this fundamental tiling of the plane.

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Henning U. Voss (Fri,) studied this question.

synapsesocial.com/papers/68e65bbeb6db6435875eab0f https://doi.org/https://doi.org/10.48550/arxiv.2406.05236

Also Consider

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1Turtles, Hats and Spectres: Aperiodic structures on a Rhombic tiling2024
2Sturmian lattices and Aperiodic tile sets2025
3Ax, 3 polyominoes for tiling the plane non-periodically2024
4The Companion Identity of Even-Vertex Aperiodic Tilings2026
5Periodic double tilings of the plane2026

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