After almost sixty years of stumping progress in geometry, a Korean mathematician has cracked a problem that generations of ...

Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones ...

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 reflecting shapes to tile a surface, researchers uncovered a method that links ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Scientists mapping the human body at the cellular level keep running into the same surprise: beneath the apparent chaos of ...

A look back at three of the biggest stories in physics this year, including evidence that dark energy may be weakening, the discovery of a supersolid, and new advances in quantum geometry. We ...