Fractal visionaries and enthusiasts: 

Today's image is a scene deep within yesterday's parent fractal.  It lies near a much larger minibrot near the outer limit of the reddish area extending to the right of the bottom of the parent.  This larger minibrot will be revealed if today's image is recalculated with the magnitude reduced to 600 and the logmap reset to zero.  Curiously, this larger minibrot is an exact duplicate of the parent fractal.

To create today's colors I reused yesterday's palette and spiced it up to add a bit more contrast and reduce the color intensity.  A minibrot lies at the center of the image, but unfortunately, it is well out of range of the DOS version of Fractint.  The tiny black dot at the center is not the minibrot.  It is an open area resulting from an inadequate maxiter.

The art aspect rates an excellent 8, or at least in my opinion it does.  The math aspect also rates an 8, since the minibrot is unusually attractive for a fractal with an exponent in the range of 1.333.

The calculation time of 2-1/3 minutes will pass in a couple flashes once the quality of the final image becomes apparent.  This time may be cut to a single flash by calculating the image with the passes set to 'g'.  Otherwise, the web sites can make things notably less cumbersome.

The day began with 1cm 1/2in of light snow and ended with lots of sunshine.  The temperature of 34 was chilly, but a lack of wind made it feel reasonably comfortable.  The fractal cats spent most of the day sleeping.  The new fractal cat Jasmine slept almost as much as Nico.  He must be teaching her all his bad habits.  The humans made it through the day uneventfully.

The next FOTD will be posted within a reasonable time, but due to the holiday decorating that is scheduled tomorrow, the FOTD might not appear until December 12.  Until whenever, take care, and watch for inconsistencies and a lack of information before you sign on to an environmental cause.


Jim Muth
jimmuth@earthlink.net


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

Buried_Cupcakes    { ; time=0:02:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.2777676689985294/+0.9028184557183553\
  /4.336525e+011/1/67.5/0 params=1.333/0/3.1439495/0
  float=y maxiter=550 inside=0 logmap=284
  periodicity=6
  colors=00000000044f33a33W22R22L22G11B1160020000000\
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  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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