[Fractint] FOTD 26-11-05 (Picket Fractal [7])

26 Nov 2005

      FOTD -- November 26, 2005 (Rating 7)

Fractal visionaries and enthusiasts:

The JuliaBC formula, which I recently found in a forgotten file, 
is proving to be one of the most useful.  Today it takes us 109 
turns up the logarithmic spiral to examine a Julia set of the 
Z^1.09+C Mandeloid.

The unusually small exponent of Z would not be expected to 
produce much of a fractal.  But in the world of fractals, first 
impressions are not always accurate.  The resulting image 
reminds me of a picket fence, so I named it "Picket Fractal".  
The image consists of about half inside and half outside stuff. 
The inside parts have been brought to life by the 'bof61' inside 
fill, making an image that, at least in my opinion, rates a 7.  
If I had put a bit more effort into the colors, the image might 
have rated an 8.

Today's image would appear to have symmetry around the origin.  
This is one of those wrong first impressions I warned about.  
Check those colors more carefully.  They most certainly are not 
symmetrical.  As I said, first impressions of fractals are not 
always accurate.

The render time of under 3 minutes is fairly fast, but not as 
fast as downloading the already rendered image from the FOTD web 
site at:

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

Bright sun was spoiled by a temperature that never rose above 
freezing here at Fractal Central on Friday.  The cats displayed 
their displeasure by showing no interest at all in going outside 
and getting into a spat over something only they knew about.  
The tuna only half satisfied them.  My day was average, which is 
not all that bad.  The next in the near-endless series of 
fractals will appear in 24 hours.  Until then, take care, and be 
alert.

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

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

Picket_Fractal     { ; time=0:02:50.05--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC center-mag=-0.138768/-0.362364\
  /0.8458201/1/67.5/3.88578058618804789e-016 passes=1
  params=1.09/0/109/0/-0.2563/-0.7076/0/0 float=y
  maxiter=255 inside=bof61 logmap=14 periodicity=10
  colors=0006AL7AM8AN9ANAAOBAPCAPDAQEARFARGASHATIAUJ\
  AVJAWJBXJCYJDZJE_JF`JGaJHaJIcJJdJKdJLeJMgJNgIOhIPi\
  IQiIQjIRkIRkIRlISmISmHSnHSoHToHTpHTqHUqHUrHUsHVsGV\
  tHVuHWuIWvIWwJXwJXxKXyKXyKWxKWxKWxKWxKWxKWxKWwKWwK\
  WwKWwKWwKWwJWvJWvJWvJWvJWvJWvJWvJWuJWuJWuJWuJWuJWu\
  IWtIWtIWtIWtIWtIWtIWsIWsIWsIWsIWsIWsIWsHWrHWrHWrHW\
  rHWrHWrHWqHWqHWqHWqHWqHWqHWqIXrIYrIYrIZrIZrI_rI_rI\
  `rI`rJarJarJbrJbrJcrJcrJdrJdrJerKerKfrKfrKgrKgrKhr\
  MirOirQjrSjrUkrWkrYlr_lramrcnreorgpriqrkrrmssottqu\
  usvvuwwwxxyyyzzzyyywxxuwwsvvquuottmstkruiqugpveovc\
  nwamw_lwYkxWjxUiyUiyUhzVgzVgzWfzWezXezXdzYdzYczZbz\
  Zbz_az_`z``z`_zaZzaZzbYzbXzcXzcWzdVzdVzeUzeTzfTzfS\
  zgRzgRzhQziOzhQzhRzgTzgUzgVzfXzfYzf_ze`zeazeczddzd\
  fycgwchvcjubktbmsbnraopaqoarnatm`ulbvk_vjkvhZvgmvf\
  ZvejvdYvcmvaYvbrvcYvcmvdYvewveYvfYvgYvgXvhXviXuiXt\
  jXskXrkXqlXpmXomWmnWloWko }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

END PARAMETER FILE=========================================