Re: Is Mandelbrot Set symmetrical around the imaginary axis?

Thanks Richard, I should have said at the imaginary axis and around the real
axis.
Why is not such an obvious symmetry easily seen from the equation?

z(n+1) =z (n)**2 + c

zr(n+1) + i * zi(n+1) = [zr(n) + i * zi(n)]**2 + cr + i * ci

In the above notation, the symmetry should be at 'ci', the imaginary part of
the constant.
Does this mean the Julia Sets for (cr + i * cy) and (cr - i * cy) would be
the same?
I would expect the Julia sets to swirl in opposite directions, but be of the
same shape.
How could this be proven analytically?


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