User:Paul Murray/mobtmp
Appearance
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 | ![]() |
![]() |
![]() |
Full Size | Full Size | Full Size | |
Fixed points diametrically opposite | ![]() |
![]() |
![]() |
Full Size | Full Size | Full Size | |
Fixed points in an arbitrary location | ![]() |
![]() |
![]() |
Full Size | Full Size | Full Size |