"Schwarz performs two successive Schwarz-Christoffel transformations of the complex plane: f(z)=1+(z–z0)/(1–z0*z), which maps z0 to 1 and the unit disk centred on 0 to the unit disk centred on 1, and g(z)=(z+1)/(z–1), which maps 1 to infinity and the unit disk centred on 0 to half the complex plane; z0 is either a random point, or the point where you last clicked the mouse."
4 out of 5
http://www.gregegan.net/APPLETS/05/05.html
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