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 ...

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 ...

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 ...

Is it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time.

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 ...