Fractal visionaries and enthusiasts:

Today's image differs from the usual image in that the minibrot at its center is cubic rather than the much more common quadratic.  Its parent fractal is a small variation of the Z^3+C Mandeloid.  The variation is that the exponent is 3.001 and the parent is calculated at a level 0.001 turns up the logarithmic hyperspiral.  The parent fractal also is rotated 90 degrees, so that it lies on its side.

As a result of all these differences, the negative X-axis cuts through the valley that normally would lie at the center of the large period-2 northern bud.  This valley appears as a wedge, trying to split the bud down its center, and is of a type that does not exist in the classic Mandelbrot set

In today's parent, the small departure from the true ground-level Z^3 Mandeloid causes the negative X-axis to be infinitely divided, which does strange things to the parts of the fractal that happen to fall there.  Exactly what kind of strangeness takes place is apparent in today's image.

I named the image "Surreal Cubism", which must mean something, though I doubt that it has any connection to early 20th-century art forms.  The rating of a 7-1/2 includes a half-point for the coloring.  The image might or might not be worth it.

The calculation time is quite brief -- under 1-3/4 minutes.  This will keep impatience suppressed.  The task of calculation may be totally eliminated by viewing the finished image on the active FOTD web site at:

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

The original web site may be found at:

        http://www.Nahee.com/FOTD/

though it is not up to date.

Bleak gray skies and a temperature around 23F -5C kept the fractal cats very near the heat all day Monday here at Fractal Central.  The forecast of snow overnight and ice on Tuesday promises another bleak day to come.  The fractal cats are unconcerned.  They live in the present, and never worry about the future until it actually happens.

The Monday of the humans, (a good name for a horror movie), was busier than expected, which left no time to get involved in the upcoming web site.  The next FOTD will be posted in 24 hours.  Until then, take care, and keep the controversy at a minimum.

Jim Muth
jamth@mindspring.com


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

Surreal_Cubism     { ; time=0:01:43.53-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident inside=0
  center-mag=-1.097220314469322/+0.00347417864711567\
  /9.5e+011/1/-45/0 params=3.001/0/0.001/0 logmap=166
  float=y maxiter=1200 passes=1 mathtolerance=0.05/1
  colors=000fVgdWebXc`XdVYeN_f9bg5bZ5WQ2IH0C8LHtABSY\
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  9xw9xvAxuAxuBxtBwsBvsCurCuqDtpDspDroEqnEpnFpmFolFn\
  lGmkGljHkiHkiHjhIigIhgJgf }

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