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Mathematics

'Amazing' spinning needle proof unlocks a whole new world of maths

What shapes are made by a spinning needle? This seemingly innocent problem has puzzled mathematicians for decades, but now a new proof is being called the biggest result of the current century as it could help solve many other tricky problems

By Alex Wilkins

10 March 2025

最新麻豆视频. Science news and long reads from expert journalists, covering developments in science, technology, health and the environment on the website and the magazine.

The simplest shape traced out by a spinning needle (orange) is a circle, but聽shapes with a smaller area are possible, such as the deltoid (right), created聽by聽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 鈥渋mpossible鈥, the solution should now unlock answers to a slew of other difficult problems that had seemed completely out of reach. 鈥淭he paper is perhaps the biggest breakthrough in mathematics of…

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