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 ...

The same researchers behind the 13-sided "hat" shape have stumbled upon a version that improves upon the original in a very important way. Reading time 2 minutes In March, a group of mathematicians ...

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 ...

Scientists mapping the human body at the cellular level keep running into the same surprise: beneath the apparent chaos of tissues and organs, there is a hidden order that looks a lot like pure ...

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 ...

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 ...

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 ...

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 ...