supposing the complex plane were projected onto the surface of a sphere? besides measuring angles between points, would there be any utility in measuring the length of a curve between two points?

is this just the same as operating on complex numbers in polar coordinates?

I don't know enough to know what I don't know, thats why im asking.

  • 2
    Depends on how you project it
  • 4
    Projection of an infinite plane on a sphere is non-euclidean and distances become really different and with different ratios.
  • 2
    Sounds like the first half of the Möbius transformation
  • 0
    Makes me think of the folds of the brain.
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