[Fractint] FOTD 24-12-06 (Squiggles [5])

24 Dec 2006

      FOTD -- December 24, 2006 (Rating 5)

Fractal visionaries and enthusiasts:

Today's average fractal image exists in the parent fractal that 
results when the formula Z^(2.003)+C is calculated 68 levels up 
the complex logatirhmic ladder.  The image is located on the 
western shore of the south branch of Seahorse Valley.

On the surface, the parent fractal resembles a normal everyday 
Mandelbrot set rotated 10 degrees.  But deep down in the area 
of the negative X-axis some strange discontinuous things are 
happening.

The unusual effects are due entirely to the discontinuities in 
the everyday iteration bands of the image.  No special methods 
were used to create them.

I named the image "Squiggles" on a whim.  The squiggliness in 
the actual image is rather vague.  The average rating of a 5 
goes perfectly with such an average image.

The render time of 8-1/4 minutes on my tired old computer is a 
bit show, but calculating the image with the passes set to 'g' 
will knock a minute or so off the render time.  And if all else 
fails, the image may be viewed on the FOTD web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The rain ended at daybreak and the sun appeared at noon here at 
New Fractal Central on Saturday.  The temperature reached 52F 
16C during the afternoon, but the fractal cats were more interes-
ted in the decorated tree than the weather.  They didn't forget 
the tree until their evening treats were served.  My day was 
plenty busy with holiday things.  The next FOTD will appear in 
24 hours.  Until then, take care, and be lively.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

Squiggles          { ; time=0:08:14.39--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-0.81500031903966940/+0.000308123039507\
  28/6.170118e+008/1/100/-7.53289878361457221e-006
  params=2.003/0/68/0 float=y maxiter=12000
  inside=0 logmap=189 periodicity=10
  colors=000JWlGYoD_sAav7byDeqIgjOjbTlWYnPZgVZa`h7K9\
  Zw3057Tm6Nc4HU3BK15ACX16G0LmHIeEFZCCS99L76E4372Uir\
  FNR93D72B629517315203101nJIlXbWMQGBDr_2RI1QaKJSFDJ\
  A695c9c7FBJ7pG6hD5`A4U83M52F217ot9hl7be6WZ5QS4JL3D\
  E2671PkRKcMGWICOD8G9484T6XP5SL4OI3KE3GA2C718304t0s\
  S0SEhKCaHAWE8PB6J84C5262dPPZLLUIIPFFKCCF99A665330i\
  g0YX0NM0BBhooqm`_XOIGC4iw3_k2R_1IO09CZCTH6EC3gA2a9\
  2X71R61M41G30B105`h9T_7MR5EI3791yj`l`T`SMOIEC97lpp\
  WZZGHH_vISjELZAEN77B3Tm8JX59G2_cGRUCIK89A4`7LT5GM4\
  CE287149H_6BO35Cxsookgfc`YWTQOMHGE887QbkcYRKHDmRyX\
  IdG9KQLALH8HE6DA5873431hp4MQ2ZWqTQhNU_HURBUI5U9CUt\
  AZk8cc6hW5mO3rG1v8Pz4Lz3Iz3Fz2Cz29z16z13z0lzkbzaTz\
  SJzJ9z9Pz3Kz2Gz2Cz18z14z0LzvAzT1zp0zZ0zHKzMHzJFzGC\
  zDAzB7z85z52z2zzVnzNczIUzDKz9Az4SzUtzgjz_azTSzMJzE\
  9z7Nz5Iz4Dz39z24z1BzT8zL5zE2z77z6GzMDzIAzE8zB5z72z\
  31zX0zS0zN0zI0zE0z90z4Szu }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100, p=real(p2)+PI
  q=2*PI*floor(p/(2*PI)), r=real(p2)-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=========================================