sdi: Oil painting of the Heliconian Muse whispering inspiration to Hesiod. (Default)
sdi ([personal profile] sdi) wrote2022-11-12 01:30 pm
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Napoleon's Problem

I've been having quite a lot of fun playing with geometric constructions lately, and I have another one for you all today: a solution to Napoleon's Problem (that is, inscribing a square in a given circle using only a pair of compasses).

It's a famously tricky problem, and to be honest, I came up with this solution by accident while exploring something else. Nonetheless, I suspect this solution—involving six circles—is the simplest one possible, but I haven't managed to prove it yet.

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