Archive

It’s been known for thousands of years that the primes go on forever, but new proofs give fresh insights into how theorems depend on one another.

A new, deeper understanding of how the breeding structure of species affects their genetic diversity is giving conservationists better tools for saving animals.

A new analysis argues that ubiquitous eruptions in the sun’s corona explain the vast flow of charged particles seen streaming out through the solar system.

The “packing coloring” problem asks how many numbers are needed to fill an infinite grid so that identical numbers never get too close to one another. A new computer-assisted proof finds a surprisingly straightforward answer.

In all bilaterally symmetrical animals, from humans down to simple worms, nerves cross from one side of the body to the opposite side of the brain. Geometry may explain why.

All infinities go on forever, so how is it possible for some infinities to be larger than others? The mathematician Justin Moore discusses the mysteries of infinity with Steven Strogatz.

So-called “higher symmetries” are illuminating everything from particle decays to the behavior of complex quantum systems.

On Mount Everest and in the Peruvian Andes, Tracie Seimon uses DNA to study how species and ecosystems respond to climate change, pathogens and other influences.

By imbuing enormous vectors with semantic meaning, we can get machines to reason more abstractly — and efficiently — than before.