Instead, he transformed the geometry problem into a graph theory problem. He took a large graph with two separate sets of vertices — one corresponding to a circle, the other to a square — and then ...

Measured against that, the Kakeya conjecture – a problem stemming from a 1917 thought experiment by Japanese mathematician ...

Computers are working to solve an age-old geometry problem. Humans can’t “square the circle” by hand, which was proven in the 1800s. Computer solutions involve infinity, complexity, and some ...

Reversing a math problem can breathe new life into an old idea, but it also makes this problem much more challenging. First, notice that the shape of the region depends on the length of the rope. For ...