The Pythagorean theorem applies not only in two dimensions to triangles but also in any number of dimensions, such that for a three-dimensional box the sum of the squares of the three edge lengths equals the square of the long diagonal, and this multi-dimensional generalization becomes crucial for quantum mechanics.
factualpending
Speaker
Neil TurokEvidence Quote
“Pythagoras's Theorem... actually works in any number of Dimensions... the sums of the square of the three edges of the box would equal the square on the diagonal”
Source
Neil Turok Public Lecture: The Astonishing Simplicity of Everything— Perimeter Institute for Theoretical PhysicsCreated: 8/11/2026, 1:49:58 AM
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