this post was submitted on 06 Jan 2026
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The problem isn’t about getting close enough. It’s a mathematics question on figuring out cube roots. You can do it with machines but it’s impossible to do with straight edge and compass. The greeks and romans wanted to figure out if there was a general solution using straight edge and compass so a close enough guess wouldn’t work. They already had solutions like that.
This problem was a head scratcher for literally millennia along with squaring the circle and trisecting an angle. All three were proved impossible to do with just straight edge and compass.