Fractal visionaries and enthusiasts:

Today's image shows a few of the curious things that happen when Z^(2) and Z^(-2) interact in a certain way and the resulting fractal is viewed in the Julia direction.  The formula that creates the image is simply a Julia version of the FinDivBrot-2 formula, the FinDivBrot-2J.

The Mandelbrot aspect of the fractal is an E-W string of large bays inside a triangular area of chaos.  Today's image is the Julia set of a point on the southern shore line of one of these bays.

The image consists mostly of 'inside' areas.  The terraced effect was created by rendering the scene with the inside set to 'fmod' and a proximity of 0.3.

The name "Gone to Julia Land" describes the 4-D orientation of the image slice.  The rating of an 8 might be a bit liberal, but it's not a bad image and the terraced 3-D effect is striking.

The calculation time of a mere 8 seconds is one of the briefest ever, and will have passed before the fractalist has time to blink and think.

With a temperature of 61F 16C today was another near perfect day here at Fractal Central.  It was only *near* perfect because of the early-morning fog.  The fractal cats, never satisfied with less than total perfection, took the day in stride.  They spent the morning chasing imaginary bugs and the afternoon sleeping and eating.  The humans, FL and myself, spent the day wrapping up loose ends.

The next FOTD will be posted in 24 hours.  Until then, take care, and when asked if I think mankind will ever reach the stars, I usually reply that I have bad news and good news.  The bad news is that, due to financial difficulties and lack of resources, we will probably never even reach the other planets of our own solar system, much less the stars.  The good news is that by the time all the feel-good techno-talk is finished and it has become obvious that humanity will never venture into deep space, no hopeful astronaut now alive will still be around to be disappointed.

Jim Muth
jamth@mindspring.com


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

Gone_to_Julia_Land { ; time=0:00:08.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2J function=recip
  center-mag=0/0/0.02958801 params=-2/25/16/0/-2.552\
  41736198004/-0.498336741233558 float=y maxiter=3600
  inside=fmod proximity=0.3 logmap=yes
  symmetry=origin periodicity=6
  colors=000rzzVjYamNgqCzt1kq5jo9irChjGggJfejecQceSo\
  fT`gm_hWYiYXjZWkWVlUUlSTmQSmORnMRnJQoHPoFOpDNpBMq9\
  Mq7V_OcIdl0ui4qf7mcBj`EfYHbVL_SOWPSSMVPJYLGaHDdEAh\
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  bqFcsDctAdu8dvFimLmeRrXXvPXvOXvNXwMYwLYxKYxJYyIYyH\
  ZzFZqFZgFZYFZOFZEF_4EKNV4fk6fk8glAhmChnEioGjpIjqLk\
  rNlsPltRmuTnvVnwXox_pyYqqWriTt`RuTPvLMxCMxHMxNNwTN\
  wZNwdOvjPndReYSYRUPLVHEX87TBAPFELJHHNLDQO9US5YV1aZ\
  5ZZAWZFTZKQZONZTKZYHZbE_`E`ZEbXDdVDfTDhRCiPCkNCmLB\
  oJBqGAsIApLBmNCiQCfTDbVE_YEW`FTbGQeGMgHUjIZmIcoJmr\
  KzuLmkJcaHURFKHAD307GCHUHObTZn_YiNZc9_cB`bDabFbn0C\
  o5Fp9HpDKqHMqLOrPRrTTsXWs`Ytd_thbuldupfpnbkmZgkVbj\
  RZiNUgJPfFLdBGc7Cb3Ea2Fa2G`2H`2I`2J_2K_1L_1MZ1JSCF\
  KOBC_74kD4gJ4cP3_W3Wa2Sg2On1Ko1Kp1Lq2Lr2Ms2Mt3NaDN\
  IOMIQMISLHUKHWJHYJG_IGaHFdGFfGFhFEjEElDEnDDpCDrBCu\
  ACtCDrEEpGEnJFlLGkNGiQHgS }

frm:FinDivBrot-2J   { ; Jim Muth
z=pixel, c=(p3), a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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