Looking for a challenging and stimulating activity? Try solving a pattern-based puzzle posted on Instagram by Optical Illusions. The puzzle presents three patterns and asks you to predict the next ...

We prove existence and uniqueness results for patterns of circles with prescribed intersection angles on constant curvature surfaces. Our method is based on two new functionals--one for the Euclidean ...

Desert plants naturally group in patterns that Alan Turing predicted in 1952. Polymath dynamo Turing is most famous for the Turing machine. Plants in Turing patterns are able to retain water and ...

Witness the mysterious and intricate crop circles etched into vast fields with this stunning drone footage. These enigmatic formations, often linked to folklore and mystery, create mesmerizing ...