The surprisingly simple tile is the first single, connected tile that can fill the entire plane in a pattern that never repeats — and can’t be made to fill it in a repeating way. In mid-November of ...
The swirling Arabesque ceramic tiles used in medieval Islamic mosaics and architecture were produced using geometry not understood in the West until the 1970s, a new study suggests. The inlaid ...
The recently discovered “hat” aperiodic monotile admits tilings of the plane, but none that are periodic [SMKGS23]. This polygon settles the question of whether a single shape—a closed topological ...
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