Fractal visionaries and enthusiasts:

The name of today's image, "Barely There", refers to the parent fractal, which certainly is the least promising parent of all time.  To create this parent I combined 20 negative parts of Z^(-0.2) with 2 negative parts of Z^(-5.2) and added (1/C) on each iteration.

Ignoring the unattractive colors, this parent is nothing more than a tiny, partly open circle with a speck of a valley inside it.  At first glance, this tiny bit of valley appears to have little potential, but being stubborn, I checked its depths anyway.  To my surprise, I found today's scene lurking at a depth of over 7*(10^11).

The muddy, unpleasant colors around the edges are an intentional contrast to the brilliant pink shades inside the spiral circle and its smaller attached spirals.  I feel that I went a bit too far in muddying the outside colors however, which holds the rating to a un-notable 7.

The calculation time of 4-1/4 minutes is admittedly slow, but here is where the FOTD web sites charge to the rescue.

Blue skies dotted with puffy white clouds made today feel like a day in April here at Fractal Central.  The temperature of 54F 12C just added to the spring-like atmosphere.  The fractal cats spent most of the afternoon sleeping peacefully in the sun, but grew a little testy whenever the sun ducked behind one of the small passing clouds.  FL and I avoided political talk and had yet another uneventful day.  The next FOTD will be posted in 24 hours.  Until then, take care, and when you have a problem, take a pill to cure it.

Jim Muth
jimmuth@earthlink.net


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

Barely_There       { ; time=0:04:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+0.0621392864600844/+0.0054473589104924\
  /7.550971e+010/1/-125/0 params=-20/-0.2/-2/-5.2/0/\
  -30/0/0 float=y maxiter=2750 inside=0 outside=tdis
  symmetry=none periodicity=6 mathtolerance=0.05/1
  colors=010GA3G93D93H83K82J82J62G62I62N62L52L52K52K\
  52K52I82I82I82H72H72H72L52P63U63X73Y76_89`8Bc8Ed8H\
  f8Kg8Mj9Pl9Sn9UqAXtB_wBbxBuxSvxSvxSvxSvxevxevxevxe\
  xxexxexxSxxSwxDtxBqxBoxAkxAixAgxAexAbxA_xAXuAUrARo\
  APn9Kl9Ik9Fj9Cj9Ah86h85g87g8Af8Cf8Fd8Id8Kd8Nc8Qc8T\
  b8Vb8Xb8_`8ca8f`9h`9ka9nc8df8Xj9Pl9HoAA`8JOERENc5V\
  n5Zl8`kBdkFfjIjjLmiOqjTtiWxiZxjbxiexjhxijxjixihxhf\
  xgfxfexfcwdatbapb_m`Zj_YgZWdXUaWTZUSVTQSROPPNNOMMN\
  LKNJHLIDLNGPTHUXHXbI`gKdkLhqLkwMoxMrmdxZoxIxxJxxLw\
  xLtxMrwMnrMknNhjNegObcNZ_OVVPSSOPPNNNNLKKKKLMNKMPJ\
  MRIMUGMXFNYEN`CNcBNd8Ng7Nj6Ok5On6Oq6Or_fdxxXxxatxd\
  pxfmxjjxlexm_xoVxqH52C41E51xA7xDZaRgbQhbPh`Ng_Nf_N\
  dYMcXMcXMbWM`UK_UK_TKYRKXQ7VK62J62H62G52G52K52I62I\
  52H72F51F51E71E51C61B89B78975B66E56B57868666466465\
  2333A43A41931921911911911911911711911911A11A11A11C\
  31C41E51E71E81F91BB0HC0ED }

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