Mathematics

Hidden Fibonacci numbers, a new shape and the search for a grand unified theory of mathematics are among our choices for most exciting findings of the year

In geometry, there are surfaces that do without an inside or outside—and some need at least four dimensions to exist

Sort out a rectangle tangle in this math puzzle

A type of chaos found in everything from prime numbers to turbulence can unify a pair of unrelated ideas, revealing a mysterious, deep connection that disappears without randomness

Mathematics is not only an esoteric vocation but also indispensably alive and deeply human

A new paper shows AI emerging as a tool that helps scientists test ideas, navigate literature and refine experiments

Solve a holey shape conundrum in this math puzzle

“Kryptos has not been solved,” said artist Jim Sanborn after releasing his parting clues to the “K4” section of his sculpture puzzle

For years, a French mathematician searched for a proof that a gigantic number is prime. His method is still used 150 years later

Researchers spot the “tipping point” before mathematicians’ moments of discovery

What would the world look like if we changed the value of pi? Whether in the real world or a game environment, the answer is complex

The noperthedron has a surprising property—which disproves a long-standing conjecture