Decorating every Spectre tile with the same point yields a wide variety of non-periodic quasilattices, including sparse, clustered, and near-hexagonal examples.
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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Quasilattices of the Spectre monotile
Decorating every Spectre tile with the same point yields a wide variety of non-periodic quasilattices, including sparse, clustered, and near-hexagonal examples.