Fractal visionaries and enthusiasts: 

Today's deep toned and rather depressing fractal is a venture into one of the rogue zexpe fractals -- the one that appears when the expression Z^(epsilon)+C is iterated 9999 levels up the complex hyperladder with no function applied.

The parent fractal appears as a fairly conventional zexpe fractal, with the expected two large period-2 buds.  But it is rotated a bit clockwise and surrounded by much smaller minizexpe fractals disconnected from the main body.  Today's scene is located in what appears to be an East Valley of the largest satellite minizexpe, which lies just south of the southwest period-2 bud of the main zexpe.

I named the image "Purple Pancakes", not a very appetizing name but fully appropriate when one attempts to count all the purple blotches scattered about the scene.

The art and math ratings are unexceptional, since the image's tricks have already been done many times in the past.  The image is still totally new however, and well worth the 1-1/2 minutes required to rename and run this letter as a parameter file.  Of course, the nuisance of running the parameter file may be avoided by checking the finished image on one of the web sites.

Typical summer weather prevailed here at Fractal Central today, with a mix of sun and clouds, a temperature of 90F 32C, high humidity and the expected thunder clouds in sight, though not at FC.  The fractal cat made the most of things by sleeping and eating.  The humans, who had their holiday on Friday, kept watch on things.

The next FOTD will be posted in the foreseeable future.  Check at regular intervals, because who knows? the future might be tomorrow.  Until whenever, take care, and when things are going wrong, forget the bright side of things with the associated positive attitude.  It's a lot of unfounded wishful thinking.  Get with reality, forget the feel-good dreams, develop an honest negative attitude, and look for the dark side.

Jim Muth
jimmuth@earthlink.net


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

Purple_Pancakes    { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident float=y
  center-mag=-0.5450986126031908/-0.9537212212288588\
  /2.034e+008/1/55/0 params=2.71828182845905/0/9999/0
  maxiter=2200 inside=0 logmap=166 periodicity=6
  colors=00045A66E89GACKCFOEISGLWIO_MScOWZRZTUeNWjHZ\
  oBat5hw0mx0ty0zz0wy0uu0tr0rp0mo0mn0mm0ml0mk0hj0ci0\
  Zh0Tg0Sf0Se0Rd0Qc0Qb0Pa0O`0O_0NZ0MY0MX0LW0KV0KU0JT\
  0JS0IR1IR0HQ0HP0GO0FN0FM0EL0DK0DJ0CI0BH0BG0AF09E09\
  D08C07B07A0690580mVzlUzkTzjSziQzhOzgMzfKzeIydHvbGt\
  `Fq_FoYElWDjUCgTCeRBbPA`OAYM9WK8TI7RH7OF6MD5JC5HA4\
  E83C62952731410200K00K00K00M60B00KA0T00K00ISFGPDEM\
  CCJAAF89C679556333117KU6KU6KU5KU5KU4KU4KU4KU3KR3KO\
  2IL2FI2DF1AC179056023JGcIFbIFaHF`HE_HE_GEZGDYGDXFD\
  WFCWECVECUEBTDBTDBSDARCAQCAPBAPB9OB9NA9cA8cA8c98`9\
  7Z87X87W86V76U76S75Q65O65M55K54I54G44A439438337327\
  2262252141131131020010000FT0AJ059FBRECQEEQEEPDEPDK\
  UDKUDKUCKUCKUCKZCKZBKZBKZBKZAKZAKcAKcAKc9Kc9Kc9Kc9\
  Kc8Kc8Kc8Pm7Pm7Pm7Pm7Pm6Pz6Pz6Uz6Uz5Uz5Uz5Uz4Uz4Uz\
  4Uz4Uz3Uz3Uz3Uz3Uz2Uz2Uz2Uz1Uz1Uz1Uz1Uz0Uz0Uz0UzCU\
  zAUz9UzAUzAUzAUzAUzAUzAUz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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