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"Sander Stols" <san### [at] stolscom> wrote in message
news:MPG### [at] NEWSPOVRAYORG...
> I was wondering whether the inner part of what you call the Mandelbrot
> set /is/ part of the set. Isn't the Mandelbrot set just an infinitely
> large set of points forming an infinitely large (continuous?) line; the
> outline as it were? So anything outside or inside this set of points (or
> line of infinite length) would not be part of it?
>
> --
> Regards, Sander
IMHO, no. Each point is either inside or outside the set. The boundary has
no special significance in that sense. The only point about the boundary is
that it represents the area of least certainty - you can never be sure if,
with one more iteration, a point might suddenly turn out to be outside the
set.
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