Have you ever found yourself captivated by the intricate repeating designs on fabric, wrapping paper, and more? There’s something truly magical about repeating patterns that can transform ordinary ...

It’s been just months since researchers reported the first “einstein” — a single tile that can cover an infinite plane, but only with a pattern that never repeats (SN: 3/24/23). Now, the same team has ...

David Smith, a math hobbyist in Yorkshire, England, has discovered a 13-sided shape that eluded mathematicians for decades. The craggy, hatlike shape is called an “einstein,” based on the German for ...

Researchers are uncovering striking mathematical patterns that run through the human body, from the size and number of cells to the branching of neurons and blood vessels. These rules, which echo ...

The “hat” wowed mathematicians. Now the shape is shaking up physics. In 2023, mathematicians reported that the 13-sided tile was the first known “einstein.” That’s a shape that can perfectly cover an ...

A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat ...

When I think of patterns, the first thing that comes to mind is fabric. While Seamless Studio ($49, 15-day free trial) can certainly generate beautiful patterns for anything from blankets to ...

The ability to make custom patterns is quite helpful but learning how to make patterns that repeat seamlessly in Illustrator makes it even better. Patterns that will show where the edges repeat may ...