Fractal of the Day
by Jim Muth

On the Run ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- March 26, 2009   (Rating 7)

Fractal visionaries and enthusiasts:

I ended yesterday's FOTD discussion with a casual question about what benefits the space program has ever produced.   And one of the replies was GPS -- the global positioning satellite system.   This is indeed a benefit.   In the bad old days, we actually had to do things like note the positions of the stars and the time of day, and then do some mathematics if we wanted to know where on earth we were.   (I wonder if they still teach celestial navigation at the Naval Academy.)

Luckily, there is no navigation problem with today's image, which was produced by subtracting Z^(2.6) from Z^(2.4).   To see the action, simply load up the included parameter file, strike the 'go' button and within a few minutes the parameter file will generate the image.

 I named the image "On the Run".   There is about as much reason behind the name as there is behind some of my ratings.   And BTW, I have been considering dropping the rating system.   All it does is deter some people from checking the images.   If I do drop the ratings, viewers who want to know the quality of the day's image will have to calculate the image themselves or go view it on the FOTD web site at:and make their own rating.

BTW, today's image rates an adequate 7.   I really don't think it is worth much more.   (Opposing opinions cheerfully accepted.)

Increasing clouds marred Wednesday here at Fractal Central, though the temperature of 55F 13C was not at all bad.   The fractal cats complained when their afternoon sun failed to appear, but otherwise were happy enough.

My day was rather busy.   Tomorrow should be the same.   The next FOTD will be posted in 24 hours.   Until then, take care, and I just saw a Higgs particle pass through the room.


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

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

On_the_Run         { ; time=0:06:49.61-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-1.766272449888003/+0.0115958894054906/5\
  .083122e+010/1/-20/0 logmap=346 mathtolerance=0.05/1
  params=1/2.4/-1/2.6/0/0/0/0 periodicity=10 inside=0
  float=y maxiter=3000
  colors=000K5cK5cK5cK5cK5cK5cK5cK6cK7cK8cK9cLBcLDcL\
  FcLHcLJcJIcHHcGFc1Ec2Dc4Cc5Bc7Ac9DZAFTBIOBMJEQKHSL\
  KTMMUNPUOSROVNPXJQ_FRbBSe7Tg4TjBUlHVnNWpUXr_YteZi`\
  VZWROSODNK3JH6HK9GNBFQEDTGCWJBZLA`O8cR7fT6iW4lY3o`\
  2rb1t`6s_AsZEsYJsXNsWRsVVsU_sTcsSgsRlsQpsPtsOxsMwm\
  LvhJucItZGsTFrODqJCpEBp9EoCGoEInGKnJMnLOmNQmPSmSzz\
  UzwWzrZzn`wkbmkddhbdf`ecZeaXfZVfXTfVRgSPgQNhNLhLJi\
  IHVTmUZaUdRUjFUp4QoBNnHKmNHlTEk_Bjz8iz5hz6fr6dj7be\
  7``8ZV8YR8WN9UI9SEAQ9AO5AN1CO2DO2FP3GP3IQ4JQ4LR5MR\
  5NS5PS6QT6ST7TU7VU8cV8mV8vRBzODzLFzIHzEJzBLz8Nv5Pd\
  AKNFG5JC4KE4LG4MI3NK3OL3PN3QP2RR2ST2TU1UW1VY1W_1W`\
  3XY5YW6ZU8ZSA_QB`ODaMFaKGbIIcGKdELdCNeAPf8Qf6Td8Vc\
  9YbA_`Cb_DdZEfYFYVPPSZGPh8Nr9Ft9Fv9KwBPrDUnFZjGchI\
  hmKmrLrvNvzPzzzzJSzzUzzzz7Xzzzz7SzzzzDOzzMzzzzMIzz\
  FzzzzWBzz9zzzzd5zz3zzzzh8zzzzeCzzEzzzz`JzzLzzzzWPz\
  zRzzzzSWzzYzzzzaazzczgzzk }

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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