User:Paul Murray/mobtmp
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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 | File:Mob3d-elip-inf-200.png | File:Mob3d-hyp-inf-200.png | File:Mob3d-lox-inf-200.png |
| Full Size | Full Size | Full Size | |
| Fixed points diametrically opposite | File:Mob3d-elip-opp-200.png | File:Mob3d-hyp-opp-200.png | File:Mob3d-lox-opp-200.png |
| Full Size | Full Size | Full Size | |
| Fixed points in an arbitrary location | File:Mob3d-elip-arb-200.png | File:Mob3d-hyp-arb-200.png | File:Mob3d-lox-arb-200.png |
| Full Size | Full Size | Full Size |
