User:Paul Murray/mobtmp

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Stereographic projection[edit]

These images show mobius transformations stereographically projected onto the Riemann sphere. Note in particular that when projected onto a sphere, the special case of a fixed point at infinity looks no different to having the fixed points in an arbitrary location.

Elliptic Hyperbolic Loxodromic
One fixed point at Infinity
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Fixed points diametrically opposite
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Fixed points in an arbitrary location
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