Fractal visionaries and enthusiasts: 

Today's image has a math rating of a 9.  This is because I have finally checked a world that I long knew existed but have never looked into.  Today, for probably the first time, we have a fractal created by iterating an expression with an exponent of Z between zero and +1.  In today's image, the iterated expression is Z^(0.7)+C.

When rendered in the default manner the parent fractal is a hopeless looking blank screen consisting totally of black inside stuff.  But sometimes a hopeless mass of 'inside' stuff can be brought to life by rendering it with an active inside fill such as the 'bof61' I used in today's image.  (I believe this fill colors the points according to which iteration comes closest to the origin.)

When I did this with today's hopeless parent fractal, I was greeted by perhaps the most chaotic mass of fractal junk I have ever turned up.  I can find no themes whatever in the patches scattered about the frame of today's image.  The only thing that stood out when I first saw the image was a near perfect circle in the background.  I colored this circle a brilliant white and subdued the other colors until I finally had what I saw as a scene on an alien planet.  With no particular planet in mind, I named the image "Moonrise on Vega-4", which is a hypothetical world that probably does not exist.

The artistic rating of an 8 is a humble reference to the coloring.  The exceptional math rating of a 9 indicates that this is my first venture into the world of exponents between zero and +1.

The calculation time of 2-1/2 minutes seems about right for an image that rates an 8.  But bargain day is here!  The wait may be avoided by checking the finished image on one of the FOTD web sites.

Today was a big improvement over yesterday here at Fractal Central, but still nothing to enjoy.  The heavy clouds hung around all day, with a raw north wind and a temperature of 39F +4C.  A few light sprinkles of rain and flurries of snow were of no consequence.  Jasmine, the new fractal cat, began the day with a visit to the doctor, which spoiled her day.  Nicholas, the old fractal cat, was thankful that it was not him.  The humans spent the day preparing for the thanksgiving feast tomorrow.

The next FOTD will be posted when it is ready.  Most FOTD's take 24 hours to cook, so I would not be surprised if the next one were to appear in that time.  But until whenever, take care, and if a future scientist were to create intelligent life in the laboratory, would it prove that God is not needed to explain man's existence or that intelligent design is necessary to create intelligent life?

Jim Muth
jimmuth@earthlink.net


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

Moonrise_on_Vega-4 { ; time=0:02:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=round passes=1
  center-mag=+0.422913203/+0.291279598/1388/1/10/0
  params=0.7/0/5/0 float=y maxiter=300
  inside=bof61 logmap=yes periodicity=6
  colors=000ebedcecdebeeafe_geZheYieXjer5Wr6Us6Ts7Ss\
  7Qt8Pt8Nt9Mt9Ln8Oh7Qb7SY6US6WM5ZH4`B4b53d03f24e35e\
  46e57d67d78d89cAAcBAcCBbDCbEDbFEaGEaHFaJG`KH`LH`MI\
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  LiwOeuPeKQesRerSeqTepUeoVenWemXelYejZei_eh`egaefae\
  000PjdOidNgdMfcMdcLccKacJ`bJZbIYbHWaGVaGTa7J`EQ`DP\
  `DN`CM_BK_VleUmeTneSoeSqfRoeQmePlezxzVdPVdPVeOWeOW\
  fNWfNHJMXgMXgLYgLYhKYhKZhJ5CJZiIZiIYfJXdKWaKV_LJFM\
  UVMTTNSQOSOORMPQJQKHQOEROCSNASM7TL5UL3UCAIM6WM7XN8\
  XN9YNAZOCZJG_OE`PF`PGaPHbQJbQKcQLdQMdRNeROfRPgSRgS\
  ShSTiTUiTVjTWkUYkUZlU_mV`mVanVboWep0KoUboTaoS`oR_o\
  RZoQXoPWoOVoNUoNToMSoLRoKPoJOoINoIMoHLoGKoFJoEHoEG\
  oDFoCEoBDoACo99nABoBDoBEoCGpCHpDJpDKqEMqFNqFPrGQrG\
  SrHTsHVsIWsJYtJZtK`tKauLcuMfvLduLctKatK`sKZsJYrJWr\
  IVqITqISpHQpHPoGNoGMnHNpGLnGKlGJjGIhGHfGGdGFbGE`GD\
  ZGCXGBVGATG9RG8PG7NG6LI7N }

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