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I have looked up some youtube mobius transformations and have read that "A Möbius transformation is a bijective conformal map of the extended complex plane (i.e. the complex plane augmented by the point at infinity)"

At first guess, I would think that this is somehow related to string theory but am curious as to what other applications, if any, that it arises in.

Please if anyone can shed some light on the subject it would be appreciated.

Thanks.

:EDIT: I'm not allowed to posts links to other sites unless I have made more than 15 posts?