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comment by Devac
Devac  ·  1652 days ago  ·  link  ·    ·  parent  ·  post: An Obscure Field of Math Might Help Unlock Mysteries of Human Perception

Straight, direct line segments marking the shortest distance between two points are a must for Euclidean metric. Strictly speaking, even Taxicab geometry is non-Euclidean.

Odder is right about both commonality of non-Euclidean geometry and 2D<->3D projection. Projecting sphere onto a plane isn't isometric -- doesn't conserve the distances (and areas) translated between geometries. Stating it and doing some arrow maths should be enough to prove the transform itself is non-Euclidean.