Fractal visionaries and enthusiasts:  

Today's image shows one of the infinity of things that happen when 0.3 parts of Z^5 are combined with Z^3.  The resulting parent fractal appears as a vertically stacked north-south chain of Mandel-like bays with a 'main bay' on the southern end of the chain.  The bays grow larger and more distorted the farther north they lie, until at the limit, little Mandel stuff at all remains.  Today's scene lies in one of four similar valleys about halfway up the chain.

The name "Iterative Challenge" has little to do with the image.  I invented the name when, after an hour of futile searching, I had found nothing better than today's image, which rates only a mediocre 6.

The calculation time of 4 minutes is more time than the image deserves.  But it's still worth a quick glance, especially on one of the FOTD web sites, where the need to calculate it is eliminated.

Clouds and rain defined today here at Fractal Central.  The saving feature was the temperature of 43F +6C, which was notably above average.  The fractal cat passed the day lounging by the heat; the humans finished the work on time and then took it easy.

The next FOTD will be posted soon.  Until whenever, take care, and feel sorry for those fortunate enough to have heavy media coverage of their misfortune.

Jim Muth
jimmuth@earthlink.net


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

IterativeChallenge { ; time=0:04:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.065078360615/-1.793874546443/2774529\
  /1/-80/0 params=1/3/0.3/5/0/0/0/0 float=y
  maxiter=2200 inside=0 logmap=257 periodicity=6
  colors=000A5KA5KA5JA5IA5G95E85C75A6585564543622701\
  80090CKABUG9cNKmNUtNczNmzMzvLmrKcnJ`kIYhHWeGZbFb_E\
  eXDiUCmRBpOAtL9wI8mKAcLCUMELNGMWHNcIOlJOtKNqNNnPNk\
  SNhUNeWNbZM_`MXcMUeMRgMOjMLlMInNHkNGiNGgNFdNFbNE`O\
  DYODWOCUOCROBPOBNMAVK9bI8jKCkLFkNIkOLkPOkRRkSUkTXk\
  V_kWbkYekZhk_lkankbpkaokZmiXigUdeQ_ZNWSKPLHJFEFDBC\
  F89I56K76I96GB6EC6HE6KG6NH6QJ6UL6SM6QO6OQ6MR6KT6IV\
  6GW6FV8EVADVBDVDCVECVGBVHAVJAVK9VM9VN8VP7VQ7VS6VT6\
  UU7TV8SW9SXARYBQYCQZDP_EO`FOaGNaHMbIMcJLdKKeLKeLJc\
  MIbMH`NG_NFYOEXODWOCUPBTPARQ9QQ8OR7NR7MR9KUAJXCHZD\
  GaFFdGDfICiJAkL9nT8zb6ze5z`4zV9zT8`V7QWBEXK3YL4ZM5\
  _N6`O6aP7bV8cW9dX9eTAfZBg_Cg`ChaCjaBkbBmcBncAodAqi\
  9re9se9rdAqdApcAocAnbAnbAmbAmaAlaAmTjmTnmUqmSnmRlm\
  PjmKhmIfmGdmEbmC`mAYmAWmAUmASzAUzAUzAUzAUzAczAczAc\
  zAczAmzAmzKmzKmzKzzUzzUzzUzzczzczzczzczzczzczzczzc\
  zzczzczzczzczzczzczzczzcz }

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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }

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