Re: Is Mandelbrot Set symmetrical around the imaginary axis?

I can not see that the Julia polynomial has only even powers.
Could you spell it out please?

Another question;
How can you prove that Julias at either sides of Mandel have opposite spins?


<caos.snow@xxxxxxxxx> wrote in message
news:1138634055.556911.148310@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Hm... actually for Julia sets its quite more simple. The Zn(zo)
expansion can be easilly check to be a power series of zo with only
even powers. Since for any complex number z, z^2 = (-z)^2, the the
complete expansion happens to take the same value for zo and -zo. So
does the modulus of the expansion too (|Zn|), and thus the complete
Julia set is "symmetrical" under change of sign in the dynamica plane
(zo).

Iñigo Quilez


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