Crows can recognize geometric patterns, suggesting that humans aren't unique in understanding shape structure.

W hen most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier- sounding rhombus or ...

Researchers have found an answer to a centuries-old floral mystery, using a mathematical model to explain how striped tulips ...

In a first, physicists have directly seen Hofstadter’s butterfly—a long-sought-after fractal in the quantum realm ...

There are all sorts of things flying around the universe that we earthlings haven't yet figured out how to identify.

Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P. R. China ...

A new mathematical puzzle, shared on X (formerly Twitter) by the account Brain Quiz, has left many intrigued. A maths brain teaser on X puzzled users with its unusual number patterns.(X/@ ...

The work is published in the journal npj Flexible Electronics. Fractal patterns are self-replicating structures in which the same shape repeats at increasingly smaller scales. They can be created ...

In a discovery that brings a legendary quantum theory to life, physicists at Princeton University have directly observed Hofstadter’s butterfly — a fractal pattern in electron energy levels that was ...

40] is an innovative concept in the realm of mathematics and physics. It extends the traditional derivative to take into account fractal behavior. Through two-scale fractal derivatives, the flow ...