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• W2123350836 abstract "Aperiodic tilings with a small number of prototiles are of particular interest, both theoretically and for applications in crystallography. In this direction, many people have tried to construct aperiodic tilings that are built from a single prototile with nearest neighbour matching rules, which is then called a monotile. One strand of the search for a planar monotile has focused on hexagonal analogues of Wang tiles. This led to two inflation tilings with interesting structural details. Both possess aperiodic local rules that define hulls with a model set structure. We review them in comparison, and clarify their relation with the classic half-hex tiling. In particular, we formulate various known results in a more comparative way, and augment them with some new results on the geometry and the topology of the underlying tiling spaces." @default.
• W2123350836 created "2016-06-24" @default.
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• W2123350836 date "2012-10-22" @default.
• W2123350836 modified "2023-09-26" @default.
• W2123350836 title "Hexagonal Inflation Tilings and Planar Monotiles" @default.
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• W2123350836 doi "https://doi.org/10.3390/sym4040581" @default.
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