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John Nash’s notion of equilibrium is ubiquitous in economic theory, but a new study shows that it is often impossible to reach efficiently.
A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.
If gut bacteria can sway their hosts to be selfless, it could answer a riddle that goes back to Darwin.
A different kind of dark matter could help to resolve an old celestial conundrum.
The three young friends who devised the “happy ending” problem would become some of the most influential mathematicians of the 20th century, but were never able to solve their own puzzle. Now it receives its first big breakthrough.
Spiders appear to offload cognitive tasks to their webs, making them one of a number of species with a mind that isn’t fully confined within the head.
Powerful new quantitative tools are now available to combat partisan bias in the drawing of voting districts.
When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.
For decades, researchers believed that violent supernovas forged gold and other heavy elements. But many now argue for a different cosmic quarry.