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One Formula That Twists the Whole Complex Plane
A Möbius transformation looks simple… f(z) = (a·z + b) / (c·z + d) …but this one formula can twist, warp, and completely reshape the complex plane. In this short visual breakdown, we decompose the transformation step by step: Shift – move the pole Invert – flip inside and outside Rotate and stretch – complex scaling Final shift ...
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