this post was submitted on 29 Nov 2024
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Fuck geometry (lemm.ee)
submitted 1 month ago by [email protected] to c/[email protected]
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[โ€“] [email protected] 6 points 1 month ago (1 children)

Maybe the problem is constructing a metric that makes this diagram true. Something like d(x,y) = | |x| - |y| | might work but I'm too lazy to check triangle inequality.

[โ€“] [email protected] 3 points 1 month ago

Triangle inequality for your metric follows directly from the triangle inequality for the Euclidean metric. However, you don't need a metric for the Pythagorean Theorem, you need an inner product and, by definition, an inner product doesn't allow non-real values.