Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

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 ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

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 ...

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 ...

Patterning and periodic structures are very important in physics. This led to a tremendous amount of work on learning what shapes can tile an area or fill a volume. It was found that these shapes must ...