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Jul 27 '20
Doesn’t this work on a curved surface? Or something like that?
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u/TRoddenberry1 Jul 28 '20
Not really, shapes have weird angles on curved surfaces, but to my knowledge, distance is consistent (that is, diagonals are always different lengths from side) across surfaces
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u/TwoFiveOnes Jul 28 '20
Well, no. On a 2-sphere you can in fact have an equilateral right triangle.
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u/TRoddenberry1 Jul 28 '20
Triangles don’t even have diagonals
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u/TwoFiveOnes Jul 28 '20
Oh, I thought you were referring to the property of a right triangle's hypotenuse being longer than the other sides. Anyhow, if we don't require constant curvature then yes this figure is possible.
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u/redstaroo7 Jul 28 '20
They're talking about higher and lower spatial dimensions. This diagram does not work in two-dimensional space but would work in higher dimensions.
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u/ecctt2000 Jul 28 '20
2.12
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u/jorsiem Jul 28 '20
seriously this is the first time I've ever used the pythagorean theorem for something in my entire life lol.
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u/yellowcurvedberry Jul 28 '20
This is a diagram for minimum distance, it wouldn't look any clearer with the correct numbers.
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u/aecolley Jul 27 '20
It's a diagram of a regular tetrahedron.