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New Shapes Solve Infinite Pool-Table Problem
Two “rare jewels” have illuminated a mysterious multidimensional object that connects a huge variety of mathematical work.
Solution: ‘Why Are There Two Sexes?’
The mathematical concept of parity and the fatal flaw of serial multiplication can help explain why having two sexes usually works better than having one or three.
The Beautiful Mathematical Explorations of Maryam Mirzakhani
After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.
Kaisa Matomäki Dreams of Primes
Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers.
The Illuminating Geometry of Viruses
Mathematical insights into how RNA helps viruses pull together their protein shells could guide future studies of viral behavior and function.
In Game Theory, No Clear Path to Equilibrium
John Nash’s notion of equilibrium is ubiquitous in economic theory, but a new study shows that it is often impossible to reach efficiently.
Marjorie Rice’s Secret Pentagons
A California housewife who in the 1970s discovered four new types of tessellating pentagons is dead at 94.
Pentagon Tiling Proof Solves Century-Old Math Problem
A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.
Subhash Khot, Playing Unique Games in Washington Square Park
The theoretical computer scientist behind the influential Unique Games Conjecture delights in the wonders of New York’s Washington Square Park, where he ponders the impossible.