Fractal visionaries and enthusiasts:  

In today's image we check the negative X-axis of the Z^(2.993)+C Mandeloid as rendered by the MandelbrotBC3 formula at ground level with no function applied.  Instead of being spread into a wedge, the valley at this point is partly cut off, but as today's image shows, the parts that remain are filled with interesting nooks and crannies.

The name "Sugared Nonagon" came about when I got a sudden urge for a chocolate bar while studying the image.

Thanks to the coloring, the art aspect of the image rates an 8, while the overused math trick rates only a 5.

The calculation time of 4 minutes is slow, I admit it, but here is where the web sites can save much precious time.

Clouds and occasional rain spoiled the day here at Fractal Central.  The afternoon temperature of 50F 10C was mild enough, but it began falling sharply in the evening.  The fractal cats took it easy, Nicholas on the couch, Jasmine in her recovery room.  The humans simply had another in a long series of lackluster days.

The next FOTD will be posted in a day or so.  Until then, take care, and one thing which the remake of the 'Cosmos' series has demonstrated so far is that TV producers have forgotten the importance of good music in creating an awe-inspiring effect.

In 1983, when the original 1980 "Cosmos' series was being aired for the second time, I was doing a series of two-hour radio shows on a local college station.  On three shows I decided to play the complete versions of the background music that made the original 'Cosmos' series so impressive.  These shows were the most popular of my entire series.

The first episode of the current 'Cosmos' series left me with the impression that the program has an agenda -- to propagate the secular humanist world view that sees the mystical experience as a function of the living human brain rather than as a real spiritual other-world experience.  Why else would the cartoon character depicting 16th Century mystic philosopher Giordano Bruno, be depicted as having a mystical vision of the universe while his brain was still functioning, rather than having the vision after his execution, which would have been far more effective at creating the 'all was not lost' state of mind that I assume the producer was (or maybe was not) seeking.

Jim Muth
jimmuth@earthlink.net


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

Sugared_Nonagon    { ; time=0:04:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-1.096101904549808/-0.00202055949842129\
  /1.903508e+012/1/-21/0 params=2.993/0/0/0 float=y
  maxiter=2000 inside=0 outside=tdis
  periodicity=6 mathtolerance=0.05/1
  colors=000mLrmHojDmhBje9hb9eb9b`9`Y9YW9WW9UO9WGLY8\
  e`4z`4zU4zQ4zM4zI4wE4wA4t74t44VC4BA49I49K49K49K4DK\
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  4YP4`R8bREhTKjVQmXUoZ`u`hxbozexzezz`xzXuzTozRmzNjz\
  JezFbzDYzBWz9Uz9Qz9Oz9Kz9Iz9Gz94rB4eJ4UT4Kb4IV4IP4\
  IJ4GC4G94G94G94E94E94E94E94MLhAJW4HO4FE4D74C44B449\
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  V4GX4IZ4K`4Mb4Oe4Oe6K`49Z4BV47T44P44N44P4SL4`94b94\
  h94e94SL4`94Y94WB4UH4SN4QT4OZ449E49K49O49S49W79`E9\
  eMBjUHobNumVzx`zuXzrTxoPu }

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