I interviewed a pure mathematician for a course in university. Very interesting gent.
He said most of what he does has no real application. He said he spent a lot of time thinking about the foil knot at the time. His average work process was to think about different problems and things that interested him for 2-3 months, then he’d lock himself in a room and write a paper on 1 or 2 days. Rinse and repeat.
But some of solution will have an application. Not ELI5 but pathway finding solutions Google maps uses has relations to geometric shapes (paths and nodes) i believe. So all that work thinking about 2000 sided shapes does make sense when you try to map out all the possible houses in a city.
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