A new proof marks the first progress in decades on important cases of the so-called kissing problem. Getting there meant ...

Certain grammatical rules never appear in any known language. By constructing artificial languages that have these rules, ...

It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A ...

The security system that underlies the internet makes use of a curious fact: You can broadcast part of your encryption to make your information much more secure.

Inside the proton, quarks and gluons shift and morph their properties in ways that physicists are still struggling to understand. Rithya Kunnawalkam Elayavalli brings to the problem a perspective ...

Nanotube bridge networks grow between the most abundant photosynthetic bacteria in the oceans, suggesting that the world is ...

Evolution was fueled by endosymbiosis, cellular alliances in which one microbe makes a permanent home inside another. For the ...

Hypothetical devices that can quickly and accurately answer questions have become a powerful tool in computational complexity ...