Fractal of the Day
by Jim Muth

Elephant Transition ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- July 10, 2009   (No Rating)

Fractal visionaries and enthusiasts:

Elephants, elephants, elephants!   We certainly have seen enough elephants so far this month.   But today's image will be the last one to feature these over-familiar fractal elephants.

The image shows a normal elephant morphing into a pair of alien pop-eyes.   The normal elephant is at the lower left corner of the frame.   Extending upward and to the right from the normal elephant lies a series of steps between a normal elephant and the tiny set of 'Greetings Earthlings' alien pop-eyes at the upper right edge.   It can be seen that the spiral elephant trunk becomes one eye, while the deep basin on the elephant's rump becomes the other eye.   The very minor mystery has been solved and we can move onward to more artistic things in the days to come.

The name "Elephant Transition" refers to the transition from elephant to alien eyes.   Of course, I could give no rating to an image that I find pretty boring myself.   But all is not lost, for the parameter file runs in a blazing 50 seconds.

Those who do not like blazes may access the finished image on the FOTD web site at:
An absolutely perfect day passed unappreciated by the fractal cats here at Fractal Central on Thursday.   The kodachrome (digitally intensified) blue skies and temperature of 81F 27C kept the humans happy, but the cats were more concerned with an unwanted stray tomcat that spent half the afternoon yelling somewhere nearby.   When the stray wandered on, he left his aromatic calling card, and this further disturbed the fractal duo.

My day was perfectly average, which means perfectly boring, and what's wrong with that.   The work was finished on time and FL offered no (accidental?) philosophical bait to get me pondering.   The next FOTD, from an East Valley but with a guarantee of no elephants, will be posted in 24 hours, or maybe not for 36 hours if a certain rush job comes in.   Until whenever, take care, and they say we live on the surface of a multidimensional ocean.


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

ElephantTransition  { ; time=0:00:50.51-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=SliceJulibrot4 float=y inside=0 logmap=54
  params=89.9/0/89.9/90/0.252/0/0/0/2/0 periodicity=10
  center-mag=-0.127123/-0.601833/9.67109/1/99.4/0
  maxiter=4200
  colors=000ZczZdzZex_fw`gvahubitcjsdkrelqfmrgoqgpqf\
  orforeoremrdlrdkrcjrchsbhsbhsahsags`gs`gs`gsS_fKSV\
  CKI4C66B97BC9AFAAIB9JD9LE8NG8PH7RI7TK6WL6ZN5aO5dP4\
  fR4iS3lU2oV2rW2tU4rS5pR6nP7lN9kMAiKBgICeHEdFFbDG`C\
  HZAJY8KX7LW5MV4NV5PY5RZ5T_5V`6Xa6Zb6`c6bd7de7ff7hg\
  7jh8li8nj8pk8rl8tmArkCpjEnhFlgHjeJidLgbMeaOc_QaZS_\
  XTZWS_VS`UR`URaTRbSQbSQcRPdQPdQPePOfOOfOOgNNhMNhMM\
  iLMjKQjKUkJZlIclIhiQmcXrZdvVkzQszMzzSnzaUze8zi9zmA\
  zqBzlFzhJzdMz`QvXTrSXnO`jKcjGgjCjgEcdGYaIR_KL`NIaQ\
  GaTEbWCbZAca8cc6ab9`bBZaDYaFWaHV`JT`Lc`Nc_Pc_RcZTc\
  ZVcZYcYbcYhccmdcrhcvmczmczmczmczmczmczmczmczmYzmYz\
  mZzh_zh_wh`uh`sh`rg`pf`oeamdalcajHahHagHbeHbdHbbHb\
  aHb_HcYHcXYZ`TaYOdVJgTMeSOcRQbQS`PU_OWYNYXM_VLaTKc\
  SJeQIgPHiNGkMFmKEoIDqHCsFBuEAwC9yB9wDAvEAuGBtHBsJC\
  qKCpMDoNDnOEmQElRFjTFiUGhWGgXHfYHe_Ic`IbbJacJ`eK_f\
  KZgKYdQYbWX_aXYgWVmWTszzz }

frm:SliceJulibrot4   {; draws most 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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(p5)+c
  |z| <= 9 }

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

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