Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

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Last month many mathematicians were shocked by OpenAI’s announcement that artificial intelligence had solved geometry’s famous “unit distance” problem. For some, the achievement was exciting. But ...

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Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

We’ve all been to the doctor’s office and felt like we left with more questions than answers, or scrolled past a video on social media packed with big claims about health topics that don’t quite add ...

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