Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

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 ...

Simple patterns can be found almost everywhere in the environment, from drain covers to leaves and road markings, say Julie Mountain and Felicity Robinson Patterns are essential to building ...

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 ...

The world around us is full of repeating patterns. From the frequency of music notes to the appearance of a snowflake, they come in many shapes and sizes. But today we're sticking with squares and ...

A new study published in Nature Communications explores the mathematical foundations of creativity. Researchers introduced a model called Edge-Reinforced Random Walk with Triggering (ERRWT) to ...