A tiling algorithm for the aperiodic monotile Tile(1,1)
Henning U. Voss
TL;DR
This paper presents a MATLAB algorithm for tiling the plane with the aperiodic monotile Tile(1,1), facilitating further research and applications of this fundamental aperiodic tiling.
Contribution
It extends the geometric construction of the Tile(1,1) monotile into a practical numerical algorithm, aiding researchers in exploring its applications.
Findings
Provides a MATLAB algorithm for tiling with Tile(1,1)
Enables practical application of the aperiodic monotile
Facilitates further research in aperiodic tilings
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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Taxonomy
TopicsQuasicrystal Structures and Properties · Digital Image Processing Techniques · Cellular Automata and Applications