Results 1 to 1 of 1

Math Help - Antenna of the Mandelbrot Set.

  1. #1
    Junior Member
    Apr 2008

    Antenna of the Mandelbrot Set.

    Hello, I am having troubling proving the antennas of the Mandelbrot Set have empty interior.

    I have seen it done for a none general point on an antenna (not rigorously), for instance let c=-0.75+0i then it is easy to show any point of the form c=-0.75+ni for n>o escapes to \infty but I don't know how to start proving this for a general point, and without using the above method, which obviously doesn't suffice as a proof.

    I realise this point isn't on an antennae, I was just giving an example of how I would "show" a point has 0-thickness.
    Last edited by skamoni; October 29th 2010 at 08:37 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Mandelbrot Set
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 15th 2011, 03:45 PM
  2. Bernoit B. Mandelbrot
    Posted in the Math Forum
    Replies: 1
    Last Post: October 17th 2010, 12:19 AM
  3. parabolic tv antenna ( HELP!!! )
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 18th 2010, 05:46 PM
  4. Fixed points of the Mandelbrot set
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: March 22nd 2010, 02:26 PM
  5. Mandelbrot set problem
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 7th 2009, 06:43 PM

Search Tags

/mathhelpforum @mathhelpforum