The International Mathematical Olympiad (IMO) is a prestigious competition featuring talented high school students from around the world, in which competitors solve complicated mathematical problems.

As organisms develop from embryos, groups of cells migrate and reshape themselves to form all manner of complex tissues. There are no anatomical molds shaped like lungs, livers or other tissues for ...

Most geometric logos are technically flawed. This guide audits 25 world-class examples, debunking the "perfect grid" myth and providing a framework for creating scalable, mathematically sound brand ...

Life begins with a single fertilized cell that gradually transforms into a multicellular organism. This process requires precise coordination; otherwise, the embryo could develop serious complications ...

Decades of research has viewed DNA as a sequence-based instruction manual; yet every cell in the body shares the same genes – so where is the language that writes the memory of cell identities?

Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. One can ...

Abstract: This paper revisits the formation control problem, whereby a team of mobile robots assemble and maintain a desired geometric shape. However, the types of shapes that are realizable by a ...

The geometric bob is sharp, architectural, and defined by clean angles—think precision lines and modernist design. In general, it works best on oval, square, and heart-shaped faces with straight or ...

A hidden quantum geometry that distorts electron paths has finally been observed in real materials. This “quantum metric,” once thought purely theoretical, may revolutionize electronics, ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...