If the Kakeya conjecture had been proved false — if Wang and Zahl had found a counterexample — the entire tower would ... It’s also a dimensional leap for this entire area of math that’s been somewhat ...

If pure math can teach us anything ... imagine the enemy gives you some particularly bad set – maybe a counter example to the conjecture, we could imagine – and we thicken it by this small ...

The question remained open until 2019 when Prywes provided a four-dimensional counter-example. "The main result ... Quasiconformal geometry studies the effect of infinitesimal distortion on ...

Age may indeed bring wisdom, but it does not guarantee it. When tradition is used to prevent education, economic ...

I thoroughly enjoyed “The Map Color Conundrum” [Math], Jack Murtagh’s overview ... Of course, Martin Gardner published a famous “counterexample” of the four-color theorem in Scientific ...

They showed that it did not by providing a counterexample ... will unlock something that lets you do better in practice.” A Math Couple Solves a Major Group Theory Problem—After 20 Years ...

This question remained unanswered for decades until 2019, when a four-dimensional counterexample was constructed by Alexander ... theory of quasiregular mappings and curves. Quasiconformal geometry ...

“We strongly believe that the math research process will soon change by accepting ... optimize the search for examples and counterexamples and validate the results obtained through these techniques.

The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...