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:
“Thought dissolves the material universe by carrying the mind up into a sphere where all is plastic.”
—Ralph Waldo Emerson (1803–1882)