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 ...

A new shape has been discovered which would make for a pretty unique set of bathroom tiles. Nicknamed “the Hat,” the 13-sided shape can tesselate with itself without ever repeating a pattern, solving ...

Every day we see examples of repeating motifs. This symmetry and regularity can seem mundane and almost invisible, as with brickwork on building walls or the hexagonal pattern in a honeycomb. Or if we ...

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 pentagon is not a shape you typically see used for tiling. Take a peek at your average bathroom tile pattern and you’ll probably see triangles, quadrilaterals, or hexagons–shapes that, when ...

A new study by mathematicians at Freie Universität Berlin shows that planar tiling, also known as tessellation, is far more than a decorative ...

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 ...

Mathematicians show “soft cell” shapes are abundant in natural world. Soft cells are described as natural tiles with curved edges—a stark contrast to the mathematical solutions for creating tiling ...