User:Paul Murray/mobtmp

From Wikipedia, the free encyclopedia

[edit] Stereographic projection

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 Image:Mob3d-elip-inf-200.png Image:Mob3d-hyp-inf-200.png Image:Mob3d-lox-inf-200.png
Full Size Full Size Full Size
Fixed points diametrically opposite Image:Mob3d-elip-opp-200.png Image:Mob3d-hyp-opp-200.png Image:Mob3d-lox-opp-200.png
Full Size Full Size Full Size
Fixed points in an arbitrary location Image:Mob3d-elip-arb-200.png Image:Mob3d-hyp-arb-200.png Image:Mob3d-lox-arb-200.png
Full Size Full Size Full Size