Math 22a Fall 2018
22a Linear Algebra and Vector Analysis
Deformation using maps
Given a map like the Standard mapT_{c}[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
T_{c}[x,y] = [ x+c sin(2 Pi x y), y+cos(2 Pi (xy)) ](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.
Direct Media Links: Webm, Ogg Ipod ;
