this post was submitted on 17 Apr 2025
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xkcd
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Same is true for a sphere. For example, if you draw a triangle with 1 vertex at the north pole and the other two on the equator, all the angles are 90 degrees. But if you move, say, the north pole vertex to be closer to the two in the equator, then you'd get a smaller sum.
Hmm… that’s a good point. Basically anything other than a flat surface will have these bizarre properties.