Fractal visionaries and enthusiasts:

Today's image is a scene unusually deep in the parent fractal that results when 0.5 negative parts of Z^(-3) are combined with 0.5 negative parts of Z^(+3) on every iteration before straight 'C' is added.  The magnitude of over 2*(10^14) is about as far as is possible to go without resorting to arbitrary precision math.

The parent fractal appears to be a Mandelbrot set rotated 180 degrees and almost totally filled in.  Except for a scattering of tiny cracks, only four open areas remain -- a reasonably normal Mandelbrot set where the large period-2 bud would lie, two twisted M-sets where the two period-3 buds would lie, and where the East Valley area would lie, a Mandelbrot set that appears to have grown an extra large period-2 bud.  Today's scene lies deep in the valley that sets off this extra large bud.

To me, the image resembles nothing as much as a puddle of bubbling mud with a minibrot floating in the center.  The breakdown of math resolution is visible at the sharp-edged band edges, though it is not quite enough to spoil the scene.

I named the image "Mired in the Mud".  The overall coloring resembles the gray-green colors of the ground in the areas that were flooded here at Fractal Central.  It's surely not a very attractive color scheme, but I must draw it as I see it.

Such unpleasant colors hold the rating to a 6, which is actually below FOTD average.  But they say we must take the bad with the good, so why not take the 22 minutes required to run the parameter file.  On the fastest SOTA machines the image will probably finish in much less time.

Today came on with lots of sun here at Fractal Central, and except for a few puffy white decorator clouds, the sun reigned supreme all day.  The temperature of 70F 21C could hardly be improved upon.  The humans had an uneventful day, which is as much as can be hoped for.  The next FOTD, likely an improvement over today's, will be posted in 24 hours.  Until then, take care, and could we now be witnessing the start of the decline and fall of the American Empire?

Jim Muth
jimmuth@earthlink.net


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

Mired_in_the_Mud   { ; time=0:22:22.51-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=+0.00000008953753835/+0.065245723747392\
  53/2.363e+014/1/-71/0 params=-0.5/-3/-0.5/3/0/0/0/0
  maxiter=25000 periodicity=6 mathtolerance=0.05/1
  colors=000000V0VP0QK0LF0FA0A505KBDJACIABH9BG9AF8AF\
  89E79D78C68B67A57A56955845744634533523422312211101\
  000LSBHN9EI7AE5793341WTMURKeaQeaPdaNd`Ld`Kd_Ic_GcZ\
  FcZDcZCbYEbXGbWHbVJbUKbTMbSNaRPaQRaPSaOUaNVaMXaLYY\
  P_VTaSXcP_eMcgJgiGjkDnmAmo7ppFhlMeiUYf`VcgY`c`b`cc\
  YbeV`fS_hOYiLWkIVlFTnCSoDTmEUlFUkGVjHViIWhJWgKXfLX\
  eMYdNYcOZbPZaeOJvD1sC2pC2mC2jB3gB3dB3aA4ZA4WA4T95Q\
  95N95K86H86E86C86GB9JDBNFEQIGUKJXML`POcRQgTTjWVnYY\
  q__n`YkaWibVfcTddSaeQZfOXgNUhLSiKPjIMkGKlFHmDFnCCo\
  A9p87q74r52r48Zf9YdAXbBWaBV_CUYDTXDTVESTFRSFQQGPPH\
  ONHOLINKJMIJLGKKFLJDLJCJHBHFAFE9EC8CB7A96610875764\
  543332111TMHNHDHDAB86543gCjdBgbAe`AbY9`W8YU8WR7TP6\
  RN6OK5MI5JG4HD3EB3C929617414202TrAJ_69I37c46Z35U34\
  P23K22F11A1050mWpiTleRhbPdZM`WKYSIUPGQLDMHBIE9FA6B\
  747323vNirLfoKdlJaiI_fGXcFV`ETYDQVCORALO9JL8GI7EF6\
  CC49937624312t1un0oi0jd0e }

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