[Fractint] FOTD 14-10-09 (Talons of Doom [5])

14 Oct 2009

      FOTD -- October 14, 2009 (Rating 5)

Fractal visionaries and enthusiasts:

Today's image is not a scene in any Mandelbrot set, warped or 
otherwise.  It is a an oblique scene in the Z^2+C Julibrot, 
which encompasses all the warped Mandelbrot sets as well as all 
the Julia sets.  The orientation of the image is double-rotated 
5 and 5 degrees from the true Julia direction.

The banded effect of the foreground elements was achieved with 
the 'ranges' feature of Fractint, a little used and probably 
almost unknown feature.  The three-dimensional effect of ghostly 
half-obscured Mandelbrot buds in the background arises because 
points that do not escape will eventually settle into the same 
orbits regardless of where they begin their journeys.

The rating of a 5 indicates that I'm not very satisfied with the 
image, which is not quite worth the 8 minutes required to run 
the parameter file.

The name "Talons of Doom" refers to the talon-like effect of the 
converging foreground stuff on the right side of the image.

The most convenient way to view the image, as always, is to view 
it in finished form on the FOTD web site at:

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

Tuesday here at Fractal Central was marked by dark scudding 
strato-cumulus clouds and blustery northwest winds.  The 
temperature of 61F 16C felt more like 50F 10C.  The fractal cats 
needed an extra tuna treat to keep their spirits up.

My day was spoiled (or made) when I got into a heated political 
discussion, which I might elaborate on and post on the philo-
fractal list in a day or two.  (Politics sure can be fun.)  The 
next FOTD will be posted in 24 hours.  Until then, take care, 
and maybe I should win the Nobel Prize for easy fractals.

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

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

Talons_of_Doom     { ; time=0:08:09.72-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=multirot-XY-ZW-new function=flip/ident
  passes=1 center-mag=-1.85151/1.376/9.59/1/158.35/0
  params=85/85/2/0/-1.41/1.382/0.244/-0.738 float=y
  maxiter=32767 inside=253 periodicity=10 ranges=0/\
  -1/250/260/275/295/325/360/400/450/600/1500/32767
  colors=000cK0F0FKMzPQzUUzZYzcazhezmizrmzwtrzzj0000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  00000000000000000000000000000000000000000000000000\
  0000000000000000c_z000000 }

frm:multirot-XY-ZW-new {; draws 6 planes and rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4:
z=z^(p2)+c,
|z| <= 36 }

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