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 ...
One of the oldest and simplest problems in geometry has caught mathematicians off guard—and not for the first time. Since antiquity, artists and geometers have wondered how shapes can tile the entire ...
WASHINGTON – Those wondrously intricate tile mosaics that adorn medieval Islamic architecture may cloak a mastery of geometry not matched in the West for hundreds of years. Historians have long ...
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 ...
When Peter J. Lu traveled to Uzbekistan, he had no idea of the mathematical journey that he was about to embark on as well. The Harvard graduate student in physics was fascinated by the beautiful and ...
https://doi.org/10.5951/teacchilmath.20.7.0416 • https://www.jstor.org/stable/10.5951/teacchilmath.20.7.0416 Copy URL People who lay tile for a living use ...
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