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

Look carefully! Mathematicians have invented a new 13-sided shape that can be tiled infinitely without ever repeating a pattern. They call it "the einstein." For decades, mathematicians wondered if it ...

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

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 ...

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

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 ...

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 ...

Researchers have discovered a new 14-sided shape called the Spectre that can be used to tile a surface without ever creating a repeating pattern, ending a decades' long mathematical hunt. When you ...