The simplest shape traced out by a spinning needle (orange) is a circle, but shapes with a smaller area are possible, such as the deltoid (right), created by spinning a needle while its central point traces out a circle
Mathematicians have solved a decades-old problem related to spinning a needle, in what has been hailed as one of the most important mathematical results in recent times. Once seen as “impossible”, the solution should now unlock answers to a slew of other difficult problems that had seemed completely out of reach. “The paper is perhaps the biggest breakthrough in mathematics of…
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