Deformation using maps

Given a map like the Standard map
Tc[x,y] = [2x+c sin(x)-y,x] 
we can deform a picture. In the movie below, we see a deformation from c=0 to c=1 if
         Tc[x,y] = [ x+c sin(2 Pi x y), y+cos(2 Pi (x-y)) ] 
(Unlike the Standard map, this example does not rip the picture apart too badly at first, only rips the eye off at first). If we fix the parameter c and map a point again and again, we see an orbit.

Try the Standard map



Direct Media Links: Webm, Ogg Ipod ;
Here is the C program (written in 2000), which does the deformation. In the current implementation, we have the Standard map: