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A Puzzle of Clever Connections Nears a Happy End
The three young friends who devised the “happy ending” problem would become some of the most influential mathematicians of the 20th century, but were never able to solve their own puzzle. Now it receives its first big breakthrough.
A Simple Visual Proof of a Powerful Idea
Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.
Simple Set Game Proof Stuns Mathematicians
A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.
Mathematicians Bridge Finite-Infinite Divide
A surprising new proof is helping to connect the mathematics of infinity to the physical world.