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April 14, 2011: Fireworks Explosion April 13 April 15 2011 FOTD Home
 Rating 6

fireworks

Fractal visionaries and enthusiasts:

Today's image resembles an explosion in a fireworks factory.  At least, that's what it reminds me of.  I named it "Fireworks Explosion" to make things perfectly clear.

Actually, the image is part of a Julia set of the (-Z)^2.003+C Mandeloid.  The corresponding point in the Mandeloid lies in the East Valley of the split-apart large minibrot on the fractalized stem of the parent.  The image is a close relative of the 'mysterious rectangle' fractal, but the sign of iterated Z has been switched.

The rating of a 6 might have been higher, but a certain amount of muddiness spoils the colors and keeps a cap on things.

To view the image, run the included parameter file and watch the action.

To avoid running the parameter file, take a trip to my new FOTD
web site at:

http://www.crosscanpuzzles.com/Archives.html

where the finished image is posted.  The site is still in its baby stages, but will grow rapidly as we continue working on it.

The image may also be seen on Hal's web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

where he is posting hi-def renderings of the FOTD images.

The original FOTD web site is at:

http://www.Nahee.com/FOTD/

but I haven't checked in some time to see how it is doing.

Wednesday began with a chilly rain here at Fractal Central, which continued all morning.  And then, occasional showers spoiled the afternoon.  The sky showed no signs of clearing until sunset, but by then the day was over.  The temperature of 48F +9C added to the fractal cats' ill tempers.  Only an extra treat of tuna and cheddar kept trouble from breaking out among them.

The humans had a typically busy day.  But this was not so bad.  After all, if we had not been busy, we might have had time to watch one of the TV news channels and hear that the world is about to end.  (Come to think of it, the end of the world would not be so bad either.)  Assuming that the world does not end, the next FOTD will be posted in 24 hours.  Until then, take care, and pass the time with fractals while waiting for the simmering Yellowstone volcano to erupt.

Jim Muth
jamth@mindspring.com
jimmuth@earthlink.net


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

FireworksExplosion { ; time=0:00:40.80-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=SliceJulibrot5 center-mag=-0.000139571\
  /0.000418933/29.9 params=90/90/90/90/-1.74713/0/0/\
  -0.0945085/2.003/0 float=y maxiter=500 inside=255
  logmap=yes symmetry=none periodicity=6
  colors=0007A58A59A5AA5BA5CA5DA5EA5FA5FA5FA5FA5FA5F\
  A6FA8000110220330440552664776888A8AC8BE8CG9CI9BN9B\
  S9BWAB_AAcA9gA8kA7mA6oA5qA4sA3uA2wA1yB0xC0xD0xD0xE\
  0xE2xF4xF6xG8xGAwHCwHEwIGwIIwJKwJMwKOwKOwLPwLPuQOt\
  UNrYNqbMofMnjLloLksKjwKksIloGlkEmgCmcBn_9nW7oS5oP4\
  mO5kO6iO7gO7eO8cO9aOA_OAYOBWOCVOCTNDRNEPNFNNFLNGJN\
  HHNIFNIDNJBNKANKCLHEJFFIDHGBJE9KD7MB5O93P81S94UA6W\
  A8ZBA`CCbCFeDHgEJiELlFNnGQpGSsHUuIWwIYqLZkO_eQ__T`\
  UV`OYaI_aLabNcbPecSgcUidWkdZme`oebqecpdcoccncdnbdm\
  bdlaekaek`ej`fi_fh_fhZggZgfYgeYheXhdXhcWhcWhcXidXi\
  dYjdZjd_zz0zzckeapkfleah`XdVS_PORJJNEEI89J9CMAETCH\
  UDKWEMXFPZGR_HUaJXbKZdLaeMdhKhgMfePedRccTbaV``YZ__\
  YYaWXcVWfTUhRTjQSlOQoNPqLQqLRqKSqKTqKTqJUqJVqJWqIX\
  qIYqIZqI_qH`qHaqHaqGbqGcqGdqFeqFeqFdpGcoGcoGbnGbnH\
  amH`mH`lH_lHZkHZkHYjIYjIziIWzIWhIVzIUgIUgJTfJTfJSe\
  JRdJRdJQcJQcKPbKObKg_jzzz }

frm:SliceJulibrot5   {; 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=========================================