Fractal visionaries and enthusiasts:

Today's image lies in the parent fractal that is created when 0.9 negative parts of Z^(3.8) are combined with 2.4 negative parts of Z^(1.2) and (1/C) is added.  If this seems trite, be informed that the entire expression is a mistake.  The exponents were supposed to be equal but negative values.  I decided to go with what I had however, instead of taking 10 seconds to calculate the correct parent.

This wrong parent fractal consists of a small Mandelbrot set with a disconnected crescent-shaped filament some distance east of it.  A tiny M-set lies on this crescent, with today's scene located in the East Valley of this tiny M-set.

I suspect that a scene almost identical to today's could be found with a minimum of effort in the standard Mandelbrot set, which adds nothing at all to the worth of today's image.

The rating of a 7 means that the image is good enough to qualify for minimum FOTD honors, but that it will never win a prize.  The name "Terminal Iteration" can mean anything the most radical fractalist would suppose.

The calculation time of 2-1/3 minutes is about average.  Since the image is also about average, this seems just about the right length of time.

A quite pleasant late summer day prevailed here at Fractal Central today.  The temperature of 84F 29C and mostly sunny skies brought out the laziness in both man and beast.  The fractal cats, who are offended at being called beasts, spent the day taking it easy in the windows with the least sun.  The humans just took things as they came.

The next FOTD will be posted in 24 hours.  Until then, take care, and with many thanks to the Purple Cow:

    I've never seen a Boltzmann brain,
        I hope I never see one.
    But I can tell you anyhow,
        I'd rather see than be one.

Jim Muth
jimmuth@earthlink.net


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

Terminal_Iteration { ; time=0:02:20.28-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip
  center-mag=+1.410647617268638/-0.5399341480183459/\
  8.363451e+011/1/-127/0 params=-0.9/3.8/-2.4/1.2/0/\
  0/0/0 float=y maxiter=2500 inside=0 logmap=377
  periodicity=6 mathtolerance=0.05/1
  colors=000I6AJ8AL9AMAAODAPGARJCTMCVPIWRMYTRZWY`Ybb\
  ZfcbmecrfewhhzjjzkkzcpzWtzOyzGzz9zw1zt0yp0voCtoZpo\
  YmjWpeVrbTtYRvTRtPPrTPpVOoWOmYOkZMj`MhbLheLffLehJc\
  jJbkI`mIZoIZpDWk9Th4Pc0O`0LW0IT0GP08D003000000tjyh\
  ZkYP`MGOC8D1010001b40WA0RG0MM0IT0DZ09e03k00r00y00z\
  00y00r00k00e00Z00T00M00G00A004000000000j0Co01t00z0\
  3p00f00Y00O00F006000000000zV0zO0oI0eD0V80J10A0000m\
  00z0Gt0Cm08c03U00M00G00000k0ee0``0WW0RR0MM0II0DD0A\
  806301000000000000tvzGIJtJ8kF4eC1Y80R40J60DCAAPPIc\
  ePpvYzzezzWzpRwfMoPIfJDZF9RA3I40A0030000000z0Ay08r\
  06k04f01`00V00O00J00D00800100000000000000000000zm0\
  vT0eP0VL0PI0LD0GA0C608303000000000000000z00y00o00j\
  00c00Z00V00O00J00F009004000000000000000z00z00t00o0\
  0h00c00Y03T0AM0AG0IC0P60P10P00Y00e00mC0v90z80z60z3\
  0z1Az0Pz0ez0vz0vz0zz0zz0zz0zz0zz0zz8zz3zz0zz0zvzzv\
  zzvzzvzzvzzvzzvzzvzzvzzvz }

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=========================================