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The Surprisingly Simple Math Behind Puzzling Matchups
If Anna beats Benji in a game and Benji beats Carl, will Anna beat Carl?
A Triplet Tree Forms One of the Most Beautiful Structures in Math
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 Math Proves a Critical Link Between Addition and Sets
A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.”
Ninth Dedekind Number Found by Two Independent Groups
The numbers count a variety of seemingly unrelated mathematical structures.
Mathematicians Solve Long-Standing Coloring Problem
A new result shows how much of the plane can be colored by points that are never exactly one unit apart.