Resolves the Heesch problem by showing unbounded Heesch numbers for homogeneous tilings and convex monotiles in the hyperbolic plane, with first examples of weakly aperiodic convex monotiles from dual homogeneous tilings.
138, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2019, pp
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Unboundedness of the Heesch Number for Hyperbolic Convex Monotiles
Resolves the Heesch problem by showing unbounded Heesch numbers for homogeneous tilings and convex monotiles in the hyperbolic plane, with first examples of weakly aperiodic convex monotiles from dual homogeneous tilings.