An aperiodic tile with edge-to-edge orientational matching rules
(2021)
Journal Article
Walton, J. J., & Whittaker, M. F. (2021). An aperiodic tile with edge-to-edge orientational matching rules. Journal of the Institute of Mathematics of Jussieu, 22(4), 1727-1755. https://doi.org/10.1017/S1474748021000517
We present a single, connected tile which can tile the plane but only nonperiodically. The tile is hexagonal with edge markings, which impose simple rules as to how adjacent tiles are allowed to meet across edges. The first of these rules is a standa... Read More about An aperiodic tile with edge-to-edge orientational matching rules.