On The Riemann Sphere
The surface of the earth can be understood mathematically as a Riemann sphere, that is, as a projection of the sphere to the complex plane. In this case, loxodromes can be understood as certain classes of Möbius transformations.
Read more about this topic: Rhumb Line
Famous quotes containing the word sphere:
“One concept corrupts and confuses the others. I am not speaking of the Evil whose limited sphere is ethics; I am speaking of the infinite.”
—Jorge Luis Borges (1899–1986)