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Three physicists stumbled across an unexpected relationship between some of the most ubiquitous objects in math.

Mathematicians have figured out exactly how many moves it takes to randomize a 15 puzzle.

Looking for answers in infinite space is hard. High school math can help narrow your search.

New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.

A major advance toward solving the 60-year-old sunflower conjecture is shedding light on how order begins to appear as random systems grow in size.

Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.

Is nature inherently random or is perfect randomness just an illusion based on our ignorance?

The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems.

The way you learned to multiply works, but computers employ a faster algorithm.

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