[Fractint] FOTD 17-12-10 (Totally Eclipsed [6])

16 Dec 2010

      FOTD -- December 17, 2010 (Rating 6)

Fractal visionaries and enthusiasts:

With things pretty busy here at FC, today's image is another 
fast one.  The image lies in the parent fractal that results 
when Z^(1.618) (golden ratio) is iterated Z(-3.142) (minus-PI) 
levels up the complex logarithmic hyper-spiral with the 'floor' 
function applied, and C is added.

The parent fractal closely resembles a non-critical Mandelbrot 
set with its main bud pointing northeast and a nest of cut-off 
zigzagging filaments just beyond the bud.  Today's scene lies 
deep in the most prominent cut-off filament.

I rated the image at a 6.  The colors are fair enough, but I 
have used a similar palette much too recently to allow a rating 
any higher than the 6.

The name "Totally Eclipsed" came about when I imagined I saw a 
solar eclipse in the image.

The calculation time of 1 minute is conveniently fast, at least 
for those with DOS-capable machines.  And the finished image 
will soon be posted on the currently active FOTD web site at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The original FOTD web site at:

<http://www.Nahee.com/FOTD/>

is still available, and holds over 13 years of FOTD's.  But it 
might not be up to date.

Thick clouds and a temperature around 25F -4C kept things 
suppressed here at Fractal Central on Thursday.  The fractal 
cats kept happy on their warm shelf, taking breaks only often 
enough to be sure things were under control outside.

My day was hurried enough.  The next FOTD will be posted in 24 
hours.  Until then, take care, and could something sinister be 
going on behind the scenes?

Jim Muth
jamth@mindspring.com

START PARAMETER FILE=======================================

Totally_Eclipsed   { ; time=0:01:04.21-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=floor float=y
  center-mag=+1.502630890717709/+1.587875052969523/\
  1.5721e+012/1/60/0 params=1.618/0/-3.142/0 inside=0
  maxiter=400 logmap=176 mathtolerance=0.05/1
  colors=00010220430640850A60C70E80G90IA0KA0MA0OA1QA\
  2SA3UA4WA5YA6_A7aA8cA9eAAgABiACkCDmEEmGFmIGmJImKKm\
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  z_azaZzbXzcUzeSzfPzgNzhMzgLzgKzgJzfJzeIzdIzcIzcHzb\
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  zFJzINzKRzNVzQZzSbzVfzXjz_mzaPzuQzuQzuRzuRzuSzuSzu\
  TzuTzuTzuUzuUzuVzuVzuWzuWzuWzu_zwbzyezzdzyczybzyaz\
  yazyczmdzafzQgzEezDczDazC }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================