[Fractint] FOTD 29-01-12 (Fractal nebula [8])

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Author: Jim Muth
Date:  
To: fractint
Subject: [Fractint] FOTD 29-01-12 (Fractal nebula [8])

FOTD -- January 29, 2012 (Rating 8)

Fractal visionaries and enthusiasts:

The parent Mandeloid of today's image is an oversized Mandelbrot
set infected in its depths by a Z^5 virus. Today's image is an
almost-Julia set of a bit of left-over debris in the center of
the parent's main bay.

I call the image an 'almost' Julia set because the slice is
double-rotated 0.2,0.2 degrees from the true Julia orientation.
This slight departure from the true Julia direction preserves
the irregular distribution seen in the Mandelbrot aspect of the
left-over debris that fills the flattened oval outer shape.

The image reminds me of nothing quite as much as a view of a
rich star field as seen through a wide-field telescope. The
name "Fractal Nebula" points to this similarity.

The rating of an 8 could be a bit liberal coming from a person
like myself, who tends to the conservative side, even while
supporting some rather progressive ideas.

The calculation time is a fast 25 seconds -- quite speedy enough
to hold impatience at bay.

Show your total freedom from the task of calculation by
downloading the finished image from the official FOTD web site
at:

      <http://www.crosscanpuzzles.com/Archives.html>


Show your appreciation of fine art by viewing the high-
definition version at:

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

And show your long-term commitment to fractals by visiting the
original FOTD web site at:

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


Another of those nondescript mixes of sun and clouds prevailed
here at Fractal Central today, making life confusing for the
fractal cats, who were undecided whether to take their afternoon
naps on the window shelf or on the shelf by the heat. The
temperature of 41F +5C was a couple degrees above normal for
what is supposed to be the coldest time of the winter.

Meanwhile, the resident humans had few decisions to make, and
simply took things as they happened. The next FOTD will
hopefully be posted at its scheduled time. Until then, take
care, and work hard to make the world safe for reason.


Jim Muth
jimmuth@???


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

Fractal_Nebula     { ; time=0:00:25.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti function=recip passes=1
  center-mag=0/0/0.1386667 params=5/6/89.8/0/89.8/0/\
  -0.703/0/0/0 float=y maxiter=450 inside=0 logmap=3
  symmetry=xaxis periodicity=6
  colors=00090I90G80E70C60A508506UUzUUUUUU7S16X65`B4\
  eG3iL2mQ5kO8jNBiMDhLGgKJfJLdHOcGRbFTaEW`DZ_C`ZBV_I\
  Q_PL`WF`bAai5ap7`m9`jA`gC`dD`bHYZLVWOSSSPPWMLZJIbG\
  EfmBim7mm4pm1mm5km8hmBfmEdmHacK_cOXcRVcUTcXQc_OcbM\
  `eL_cL_aK_`K_ZK_YJ_WJ_VIZTIZSIZQHZPHZNGZMGZKGZJJYR\
  MXZPWfSWnUYjW_gYad_c`aeYcgVdiRfkOhmLjoHlqEnsBot8pp\
  DqmHrjLrgPsdTtcXuc`ucdvchwclwcpqclkciecf`ccVm`PmXK\
  mUEmR8mO3mLmczmczmczmczmczmczmczmczmczmczImLJmLLmL\
  MmLNmLOmLLmOJmRGmUEmWBmZ9ma6md4mf9m`DmVZcC`cBacAcc\
  Adc9fc8gc8ic7ic8jc7kc7lc7mc7nc7oc7pc7pm7qm6rm6sm6t\
  m6um6vm6wm6wm6vm7vm7um8um8tm8tm9tm9sQ9sRArTArUAqWB\
  qXBqZBp`CpaCocCodDnfDngDniEmjEmlElmFloFnqElpFkpGjp\
  HipIhoJgoKfoLeoLdnMbnNanO`nP_mQZmRYmRXmSWlTVlUUlVS\
  lWRkXQkXPkYOkZNj_Mj`LjaKjbGkeIjcJjbKiaLi`NiZOhYPhX\
  QhWRgVTgTUgSVfRWfQXePZeN_eM`dLadKcdIdcHecGfcFgbEib\
  CjaBkaAla9m`8o`6p`5q_4r_3 }


frm:JulibrotMulti {; draws all slices of Julibrot
pix=pixel, u=real(pix), v=imag(pix),
a=pi*real(p2*0.0055555555555556),
b=pi*imag(p2*0.0055555555555556),
g=pi*real(p3*0.0055555555555556),
d=pi*imag(p3*0.0055555555555556),
ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
sg=sin(g), cd=cos(d), sd=sin(d),
p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2),
bb=imag(p1)-0.0000000000000000001,
c=p+flip(q)+p4, z=r+flip(s)+p5:
z=z*z*fn1(z^(aa)+bb)+c
|z|< 100000000 }

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