Fractal visionaries and enthusiasts: 

Today's image has an art rating of an excellent 8.  The reason is apparent.  The math rating however is a superior 9.  This rating was earned when I noticed that the scene splits in half horizontally directly through the origin of the tiny minibrot at the center.

By itself, this split is not very exciting, but then I noticed that the left and right halves are symmetrical with respect to the split, and that the features of the right half are only half the size of those on the left half.  I have never before seen such a thing, which IMO earns the math rating of a 9.

The name "Fractal Music???" came about when I noticed the resemblance of the circular elements to a keyboard.  The three question marks were added because I have yet to hear any fractal music that sounded like anything more than semi-organized noise.  And I doubt that I ever will.  (Let me know when a computer running a fractal program writes a listenable symphony or a listenable anything musical.)

The calculation time of 40 seconds will pass faster than the minute waltz.  Those who rock instead of waltzing can find satisfaction on the web sites.

The sunshine was plentiful here at Fractal Central today, but the brisk west wind and temperature of freezing kept the outdoors too chilly for full comfort.  The fractal cats spent the day taking turns gathering sunbeams and playing together, while the fractal humans spent the day putting up seasonal holiday (in other words, Christmas) decorations.

The next FOTD will be posted most likely in a day or so.  Until whenever, take care, and fractal music will have arrived when, instead of writing a noisy curiosity that people listen to only once, and even then out of courtesy, a fractal program writes a composition that people will enjoy listening to again and again because it moves their spirit.

Jim Muth
jimmuth@earthlink.net


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

Fractal_Music???   { ; time=0:00:40.00 SF5 at 2000MHZ
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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=========================================