Fractal of the Day
by Jim Muth

Eastern Outpost ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- July 11, 2009   (Rating 7)

Fractal visionaries and enthusiasts:

In keeping with the East Valley theme of July, today's scene lies deep in the East Valley of a large minibrot at the eastern edge of the 'fan' of the parent fractal that results when various portions of Z^(-1.35) and Z^(-7.2) are combined and (1/C) is added.

As promised, no elephants appear in the scene, though various elephant parts are scattered about, and the alien pop-eyes are also in evidence.

 I named the image "Eastern Outpost" for no apparent reason.   The rating of a 7 is unexceptional, but still better than the parade of discombobulated pachyderms that just finished passing.

The calculation time of just under 13 minutes is admittedly slow.   Most of the slowness is due to the fact that the scene lies so deep in its parent valley, where the iteration count is unusually high.

But why not escape the burden of running the included parameter file by viewing the finished image on the FOTD web site at:
With a high temperature of 86F 30C, Friday was a bit too warm and muggy for total comfort here at Fractal Central.   And in addition, the crystal blue skies of the past few days turned a hazy gray.   The fractal cats didn't mind it a bit however.   The intruding tomcat appears to have gone off to prowl elsewhere.

My day was unusually busy, busy enough in fact that things started to get out of control.   But the panic was nipped in the bud, and in the end everything was as it should have been.   The next FOTD will be posted in 24 hours.   Until then, take care, and if you work at it hard enough, you too could become a professional skeptic.


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

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

Eastern_Outpost    { ; time=0:12:56.54-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+3.254236186523234/+0.9577664576000631/\
  2.3288e+007/1/55/0 float=y inside=0 periodicity=10
  params=-4.5/-1.35/-1.1/-7.2/0/0/0/0 maxiter=16000
  colors=44047q4Bo4Fo4Jl4Ol4Si4Wi4`g4dg4ie4ne5sb7z`5\
  xb5sb5ne5ie5dg5`g5Wg5Si5Fe5Jl5Fi4Bl47m44o44p44q4Hr\
  44t4It4Ku4Ku5Mu4Mu4Ov4Pv4Sv4Sw4Uw4Uw4Wx4Wx4Yx4Yy4_\
  y4`z4cz4dz4gz4hz94SF4IM4AS42440Z40zSizUbzWWzZPz`Iz\
  bCzd6zg0zi0zl0zg0zl0zp0zs0zx8zzGzzNvzWpzelzogzubzu\
  `zu`zu`zq`vo`niZgeZbbZWYZQUZMSZFNW9IW5GW4CW48W46U4\
  2U40U40U40U40U40`40d4CiJSndelg`liYllWilSinPipNgpIg\
  sGgvEdvAdx8dz6bz2bz0bz0bz0g`EiBYg4ul4qn4bp4Ps4Cv52\
  x90zF0zJ0zO0zQ0vS0pS0lU0gW0bW0ZZ0UZ0Q`0Mb0Hb0Dd49d\
  85gC4iG4iL4lP4dScWclRiz4tz4uz4tz4lx4bl4Wb4NU4GM48B\
  424404404404404404404404F44bW4ZP7WLDUGJSCOQ8UM2`J0\
  gH0nF0sD0z90z70z50z40z40z40z40z40z40v40p40i40d40Z4\
  0U44`50Q46F4P54i94gB4gD4eF4eH4bJ4bO4`Q4`S4YU4YW4WZ\
  4Wb4Wd4Ug4Ui5Sl9SnBPsFPvHNxJNzOLzQLzSLzMAzH2zB0z70\
  z40z40z40z40z40z40z40z40z70x90sD0pH0lJ0gO0bQ2`U6WZ\
  AS`E44u44u44u44u44t44t44q }

frm:MandAutoCritInZ {; Jim Muth
  a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
  g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
  k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
  z=k*((a*(z^b))+(d*(z^f)))+c,
  |z| < l }

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

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