Mathematics

The Joy of Why podcast returns for a third season, with two co-hosts, 24 brilliant guests and 24 all-new episodes.

John Conway’s Game of Life, a famous cellular automaton, has been found to have periodic patterns of every possible length.

The links between math, music and art have been explored for thousands of years. Sarah Hart is now turning a mathematical eye to literature.

Researchers are discovering the shortest knots and fattest Möbius strips, among other “optimal shapes.”

Throughout her 60-year career, Lenore Blum has developed new perspectives on logic and computation while championing women in mathematics and computer science. Now consciousness is on her mind.

Landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.

Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure.

The Markov numbers reveal the secrets of irrational numbers and the patterns of the Fibonacci sequence. But there’s one question about them that has resisted proof for over a century.

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.”