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.

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@earthlink.net


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=========================================