POV-Ray : Newsgroups : povray.general : Mandelbrot page : Re: Mandelbrot page Server Time
8 Aug 2024 14:21:56 EDT (-0400)
  Re: Mandelbrot page  
From: Warp
Date: 24 Jan 2001 14:21:09
Message: <3a6f2b24@news.povray.org>
Tom Melly <tom### [at] tomandlucouk> wrote:
: seems to produce the exact same pattern - still, at this resolution who
: knows? ... ;).

  I suppose that the difference would probably be seen in the exterior
coloring if you color according to number of iterations until bailout
(ie. as usual).
  Since you are not examining whether |Z|>2 but instead |Z^2|>2 it probably
has a drastical effect in the exterior coloring.
  I wouldn't be suprised if the fractal itself was a bit deformed because
of this (mainly because your bailout value of 2 might be too low in this
case). Anyways, I would say that to be sure, make Z=Z^2+c first and then
compare.

: Thinking about it, it's not that surprising. A tendancy towards infinity
: will show up in either case

  Right, but I'm only worried about the bailout value. If you used a larger
value (presumably 4^2 = 8) then there may not be any problem (except perhaps
a different exterior coloring).

-- 
char*i="b[7FK@`3NB6>B:b3O6>:B:b3O6><`3:;8:6f733:>::b?7B>:>^B>C73;S1";
main(_,c,m){for(m=32;c=*i++-49;c&m?puts(""):m)for(_=(
c/4)&7;putchar(m),_--?m:(_=(1<<(c&3))-1,(m^=3)&3););}    /*- Warp -*/


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