Re: The Mandelbrot Function

On my page at

http://www.quadibloc.com/math/mbint.htm

I *finally* broke down and added one of those images
of the Mandelbrot
set to my site.

But then I also added another image of something a
bit different, that
may not have been seen before.

Or, this may be an idea someone else has already
thought of...

Basically, since the iteration in the Mandelbrot set
is u <- u^2 + z,
what if one took the limit of a repeated square root
applied to the
iterative term? Of course, taking the principal value
of the square
root would result in discontinuous silliness, so I do
some fancy
bookkeeping here...

John Savard


for x0=real and z=real the limit would be infinity.
.

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