RTG pictures
Tom Kennedy, January 2011
root 
This illustrates what the conformal map z -> sqrt(z)
does to the upper half plane.
disc 
This illustrates what the conformal map z -> (z-i)/(z+i) that takes
the upper half plane onto the disc.
bauer 
This illustrates what the conformal map z -> i sqrt(1-z*z)
does to the upper half plane.
sle kappa=2.0 
This shows a conformal map of the half plane onto the half plane with a
fractal curve removed.
sle kappa=3.0 
This shows a conformal map of the half plane onto the half plane with
another fractal curve removed.
sle kappa=6.0  
This shows a conformal map of the half plane onto the half plane with
yet another fractal curve removed.
Arnold  
This is web site created by Prof. Douglas Arnold with some nice
animated graphics illustrating conformal maps.
tilted  
This illustrates the conformal map which takes the upper half plane
onto the upper half plane with a tilted slit removed.