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In mathematics, a Möbius plane is one of the Benz planes: Möbius plane, Laguerre plane and Minkowski plane. The classical example is based on the geometry of lines and circles in the real affine plane.

A second name for Möbius plane is inversive plane. It is due to the existence of inversions in the classical Möbius plane. An inversion is an involutory mapping which leaves the points of a circle or line fixed.

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