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combinatorics

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illustration of four six-sided green dice covered in different numbers, with orange arrows connecting some of the dice
combinatorics

Mathematicians Roll Dice and Get Rock-Paper-Scissors

By Erica Klarreich
January 19, 2023
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Mathematicians have uncovered a surprising wealth of rock-paper-scissors-like patterns in randomly chosen dice.

Illustration of Russian dolls sitting inside a larger Russian doll.
combinatorics

Google Researcher, Long Out of Math, Cracks Problem About Sets

By Kevin Hartnett
January 3, 2023
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On nights and weekends, Justin Gilmer attacked an old question in pure math using the tools of information theory.

2022 in Review

The Year in Math

By Konstantin Kakaes
December 22, 2022
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Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing the discipline.

Blue numbers moving down an assembly line being picked up by mechanical claw hands.
combinatorics

From Systems in Motion, Infinite Patterns Appear

By Leila Sloman
December 5, 2022
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Mathematicians are finding inevitable structures in sufficiently large sets of integers.

combinatorics

Hypergraphs Reveal Solution to 50-Year-Old Problem

By Leila Sloman
July 14, 2022
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In 1973, Paul Erdős asked if it was possible to assemble sets of “triples” — three points on a graph — so that they abide by two seemingly incompatible rules. A new proof shows it can always be done.

Hugo Duminil-Copin wearing glasses
2022 Fields and Abacus Medals

For His Sporting Approach to Math, a Fields Medal

By Jordana Cepelewicz
July 5, 2022
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With Hugo Duminil-Copin, thinking rarely happens without moving. His insights into the flow-related properties of complex networks have earned him the Fields Medal.

June Huh with a polyhedron.
2022 Fields and Abacus Medals

He Dropped Out to Become a Poet. Now He’s Won a Fields Medal.

By Jordana Cepelewicz
July 5, 2022
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June Huh wasn’t interested in mathematics until a chance encounter during his sixth year of college. Now his profound insights connecting combinatorics and geometry have led to math’s highest honor.

Maryna Viazovska seated on the wooden steps of an amphitheater at the Swiss Federal Institute of Technology Lausanne.
2022 Fields and Abacus Medals

In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math

By Thomas Lin +1 authors
Erica Klarreich
July 5, 2022
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With her homeland mired in war, the sphere-packing number theorist Maryna Viazovska has become the second woman to win a Fields Medal in the award’s 86-year history.

Quantized Academy

What a Math Party Game Tells Us About Graph Theory

By Patrick Honner
March 24, 2022
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Play this simple math game with your friends to gain insights into fundamental principles of graph theory.


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