# Map Cassini's oval to unit disk

1. Nov 14, 2004

### T-O7

Okay, so i'm having problems figuring out how exactly i can map the interior of Cassini's oval ($$|z^2-a^2|<r^2 , 0<a<r$$) onto the unit disk ($$|w|<1$$), so that the axis of symmetry are preserved. Anyone know how to do this?
(In this case, the cassini oval is a peanut shaped domain, i think)

2. Nov 15, 2004

### ReyChiquito

Tuff question... Interesting though. Ill do some research and see what i can come up with. Meanwhile ive found some Cassinis ovals here