Fractal visionaries and enthusiasts:

Today's image shows the last midget out the main spike of the Mandelbrot set that is large enough to be resolved with conventional math.  The little fellow is centered around -1.999999117587324 on the X-axis.

But whatever you do, don't be expecting an everyday minibrot when you run today's parameter file.  Even I have no idea of how the scene is oriented.  We're in the fourth dimension here, and the angle of today's image was found at random by the evolver feature of Fractint.

To add to the confusion, the scene was rendered with the 'outside' set to 'fmod' with a proximity of 1.5, which changes the normally solid outside parts to a series of rubbery, melting loops.  And it goes without saying that I did ample stretching and skewing to create the image.

The melting loops in the image remind me of a famous but rather strange painting of melting watches draped over a dead tree limb in the middle of nowhere, so I named the image "Persistence of Space".  (Actually, the artist was more obsessed with crutches than watches.)

The rating of a 7 indicates that in my opinion the image is notably superior to yesterday's.  The calculation time is a very brief 20 seconds.

Tuesday turned into a repeat of Monday here at Fractal Central.  The temperature reached 86F 30C with low humidity, while the sky remained spotted with kodachrome clouds.  The fractal cats remained lazy.

My day was busy enough, and if all goes well, tomorrow will be a repeat.  The next FOTD will be posted in 24 hours.  Until then, take care, and I guess we're alone.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

PersistenceOfSpace { ; time=0:00:20.16-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1
  center-mag=-0.00000000000344397/+0.000000000002282\
  92/3.695823e+011/0.1358/35.8120960583612629/-42.57\
  16308875028773 params=-2.105319376201666/145.16220\
  58778649/0/134.0351573229163/-1.999999117587324/0/\
  -1.999999117587324/0/2/-5 float=y maxiter=2147
  inside=0 proximity=1.5 outside=fmod symmetry=none
  periodicity=0 mathtolerance=0.05/1
  colors=000H5WF1XH4WI7VJAVKCULFTNITOLSPNRQQRRTQSVQU\
  YPV`OWcOXeNYhM_kM`nLapKbsKcvJbyGdxJexLfwOgwQhwTivV\
  jvYkv_luamudntfotiptkqsnrspruussrsrotpltoiumfuldvj\
  aviZvgWwfTwdRxcOxaLy`IyZFzWCyYDxZEw_Fv`GuaHtbIsdJr\
  eKrfKqgLphMoiNnkOmlPlmQknRkoRjpSirThsUgtVfuWevXdwY\
  dxYZnWTdUNVTHLRBBP51O95PD9PHDPLHQOLQSPQWSR_WRb_Rfc\
  SjgSnkSuoPqnSnmUjmWglYck_`kaXjcUjeRihNhjKhlGgnDfp9\
  fr6et1fx3ev5eu7et9dsBdrDdpFcoHcnIcmKblMbjObiQahSag\
  UafW`dX`cZ`b`_ab_`d_ZfZYhZXjZWkZVlWYmU_mSbnPdnNgoL\
  ipMvoJkoHanFRnDHnB7jIAfPDfOFfOHfOJfOLfNMfNOfNQfNSf\
  MTfMVfMXfMZfM`fLafLcfLefLgfKhfKjfKlfKnfKodJmbIl`Hk\
  ZHjXGiVFhUFfSEeQDdODcMCbKBaVGLJB`43n76o99oBBoDEpFG\
  pHJpJLpLOqNQqPTqRVqQWoQXnQYlQZkQ_iQ`hQagQbeQcdQdbQ\
  eaQf_QgZQhYPiWPjVPkTPlSPmQPnPPoOPpMPqLPrJPsIPtGPuF\
  PvEQuFRtFStFTsFUrFVrFWqGXpGYpGZoG_nG`nG`mHamHblHck\
  HdkHejHfiIgiIhhIigIjgIkfI }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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