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

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

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 ...

Translations and reflections are examples of transformations of shapes. If a shape is transformed, its position and/or size is changed. Translation is when a shape slides across, up, down or ...