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Map Cassini's oval to unit disk

  1. Nov 14, 2004 #1
    Okay, so i'm having problems figuring out how exactly i can map the interior of Cassini's oval ([tex]|z^2-a^2|<r^2 , 0<a<r[/tex]) onto the unit disk ([tex]|w|<1[/tex]), so that the axis of symmetry are preserved. Anyone know how to do this? :confused:
    (In this case, the cassini oval is a peanut shaped domain, i think)
  2. jcsd
  3. Nov 15, 2004 #2
    Tuff question... Interesting though. Ill do some research and see what i can come up with. Meanwhile ive found some Cassinis ovals http://astronomy.swin.edu.au/~pbourke/surfaces/egg/ [Broken]
    Last edited by a moderator: May 1, 2017
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