Yep; that particular fractal layout was my reproduction of the cover of the
book "Numerical Analysis" by kincaid and cheney. You can check out my
ongoing progress here:
http://www.loneshepherd.com/frac.html
Newton's method works in the complex plane exactly as it does on the real
axis; you just start your iteration with a complex number.
that particular eqn shown is z^4 + 4 on a [-2,2] interval. It is
diamondacized so as to look cool (and because the upper corners of the
square part don't really contain anything exciting).
--
Mike Metheny
"He that breaks a thing to find out what it is has left the path of wisdom."
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