the Riemann sphere, named after Bernhard Riemann,[1] is a model of the extended complex plane, the complex plane plus a point at infinity. This extended plane represents the extended complex numbers, that is, the complex numbers plus a value ∞ for infinity.
The extended complex numbers consist of the complex numbers C together with ∞. The set of extended complex numbers may be written as C∪ {∞}, and is often denoted by adding some decoration to the letter C, such as