Fractal visionaries and enthusiasts: 

Today's image is named "Total failure".  The failure was my inability to find another rectangle in the Z^(4.003)+C Julia sets like the one I found many years ago in the Z^(2.003)+C Julia sets.

I started the search with high hopes, but it soon became apparent that no rectangles were to be found.  What I did find were some rather interesting Julia sets, one of which appears as today's FOTD.

The image was calculated with XY-axis symmetry.  This symmetry is not exact but only a very close approximation.  At today's magnitude however, no difference is visible.

I might have stretched things a bit when I rated the art worth at a 7.  But there was no problem rating the math aspect at an everyday 6.

One point not in doubt is that the image is fast.  On one of today's DOS-capable fireball units, if any exist, it will finish in 30 seconds of less.

The mix of clouds and sun, with a high temperature of 37F +3C here at Fractal central today, was just about normal for the end of December in central Pennsylvania.  The fractal cats passed the day tussling until Nico got too rough and Jazzy ducked under the bed.  The humans, glad to have so far survived another holiday season, took things as easy as possible.

The next FOTD will probably not be posted until December 29.  Until whenever, take care, and the greatest sign of an epidemic of obesity is when the magazines on the checkout racks stop carrying articles about how to lose 10 pounds and start carrying articles about how to lose 185 pounds.  (I actually saw this today!)

Jim Muth
jimmuth@earthlink.net


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

Total_Failure      { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=0/0/10
  params=90/90/90/90/-1.22275/0/0/0/4.003/0 float=y
  maxiter=600 inside=0 symmetry=xyaxis periodicity=0
  colors=000AHHAGHAGH9GH9FG9FG8EG8EGynIxmHwmHwlHvlHv\
  lHukHzYG7BK8C`7Ha9Ka9NdAQcATgBWkBZoCasCbuCcwFeuHfs\
  JgqLhpNinPjlUzzmzzzzzzzWzmRzcPzUOz_ZmHMcKLZUKPcJZm\
  HcwGZmFUcEPUDNKCDKAKKBRRCYYDccEjjFqqGwwGrrFmmEihDd\
  cD_ZCWUBRPANLALGXKCsNGrQKqTOpWRoYVo`Zncamfeliikklk\
  ijjghiefiddhbch`ag__fYYfWWeVVeU`cUebTjaTo`RkaQhaOe\
  bNbbLZbKWcITcHQcFNdEJdCGdBDe9Ae87eXE`tLWuI`uGduEhu\
  CmuAqu8unJshTrbcpXmoVfkU_gSTcRM_SEUQFXOFZNF`LGbKGd\
  IGgHGiFHkEHmCHoBHr9It8Iv6Ix5Iz9GyDFyHEyLCxPBxTAxX9\
  x`7wd6wh5wl3vp2vt1vw0vlPXbl8`gD_bHYYLXTPVOUUJYSEaR\
  AeVCgYDhaEjdGkgHmkInnKprLquMsxNtsTonYkibgdgc_l_Zk_\
  ZkZZkZYjZYjZYiYXiYXhYXhYWhXWgXWgXVfXVfXVfWUeWUeWUd\
  WUdVTdVTcVTcVScVSbUSbURaURaUR`TQ`TQ`TQ_TP_SPZSPZSO\
  ZSOYROYRNXRNXRNWQMWQMWQMVQLVPLUPLUPKTPKTOKTOJSOJSO\
  JROIRNIRNIQNHQNHPMHPMGOMGOMGOLFNLFNLFMLEMKELKELKDL\
  KDKJDKJCJJCJJCJIBIIBIIBHI }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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