Riemann Sphere Diagram - Visualizing Complex Numbers and Stereographic Projection #1262588 (License: Personal Use)

This diagram depicts the Riemann sphere, a fundamental concept in complex analysis where the complex plane is compactified by adding a point at infinity. Stereographic projection maps points from the sphere (excluding the north pole) to the complex plane, with labeled axes showing real (1, -1) and imaginary (i, -i) units, and the north pole representing ∞. Arrows indicate projection directions and coordinate correspondences.

Used in advanced mathematics education, particularly in complex analysis, topology, and conformal geometry courses; supports visual learners grasping one-point compactification and Möbius transformations.