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Sept. 25, 2014: Intricate Web Sept. 22 Sept. 26 2014 FOTD Home
  Rating A-8, M-8

intricate web

Fractal visionaries and enthusiasts:  

While playing with old discarded formulas, I recently stumbled upon today's image, which must be seen to be believed.  The image is a slice through a 'dividebrot' Julibrot at an angle only 0.02,0.02 degrees from the Julia orientation.  The name "Intricate Web" comes close to describing the scene, but the word 'web' does not do full justice to it.  The more delicate parts resemble a spider's web closely enough, while the more solid parts look more like floating blocks of concrete.

To find the best proportions I did stretch the image somewhat in the horizontal direction, though not enough to distort the image or change the overall effect.

The coloring is mostly accidental.  Only a small part of it is my own creation.

The calculation time of 3-1/4 minutes will pass faster than expected once the details become apparent.  Of course, the web sites are always available for even faster satisfaction.

Today began with cloudy skies and light sprinkles here at Fractal Central.  But by afternoon the rain ended and the sun appeared, making the fractal cats and humans quite happy.  The temperature of 70F 21C could not have been better.

The next FOTD will be posted in time.  Until the time arrives, take care, and the U.S. president, Mr. Obama, recently stated in an address to the United Nations that the cause of empire leads to the graveyard.  Since, his country, the United States, has over 500 military bases scattered around the world, I wonder which nation he was talking about.  And I'm a little on the conservative side.

Jim Muth
jimmuth@earthlink.net


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

Intricate_Web      { ; time=0:03:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideJulibrot passes=1
  center-mag=5.51/0/34.5/1.4601/-90/0 params=89.98/0\
  /89.98/0/-0.77/0/0/0/1.05/1.5 float=y maxiter=600
  inside=0 logmap=198 periodicity=6 sound=off
  colors=00033844B66E88HAAKDDNGGQJJSMMUPPWTTYXX_``bg\
  ghmmmmmpmozorzrzzzzzmmmmmmcccUUUPRoMDUBIBJHARH9ZG8\
  c32eA5fG7hNAmR0kS6iTCkQ9mNCmQFmTImWLmZOmaRrdUre_rg\
  bqddpb`q`YrYUtWQwUNzRLzOJzLHzIFzFDzDBzHPzLazOnzHZz\
  AKzF5zF8zKAzQDzWFzaHzgKzmMzmOzmZzmZzmdzmazmZzmXzhL\
  zcKzZKzeKzbJz`IzZHzaOzcVze`zhgzjnzltzfqzanzWkzRhzL\
  ezGbzB`zNkzYvzWizVYzMOzDFvPIr_KmVRZQYcLdZOgUQjPSlK\
  UoMWlNRfON`PIVQEQK9UO5YS1bb0fl0zeDz_PzT`zNlzrzzjwz\
  eszUqzPmzQkzN`zKRzHGuF6pJ9kNCkQEpUHuXJz2oz9izFczFp\
  zFjzFdzFZzFTzFOzJSzMVzPYzT`zWczZfzWezUdzSczQbzObzL\
  dzJez5szBlzHfzN_zTUzZNzcHz`JzYLzVNzSPzhazaYzWVzQRz\
  JOzDKz1Bz7HzDMzJRzPWzVaz`fzfkzf8zkpzgozcnz_mzWlzSk\
  zOjzHlzKjzMhzPfzRdzTbzW`zYZzScz_XzXazVezTjzRnzOMzO\
  PzORzOUzJ1zLCzMMzOWzPezKyzNtzQozTkzWfzZbzaYzYYz`Wz\
  bVzdUztRzoSzjTzfTzaUzXVzTVzOWz70zCBzGMzKWzOfzsBzUv\
  zSpzQjzhqzWhzPdzIazBZz0_z }

frm:DivideJulibrot   {; draws 4-D slices of DivideBrot Julibrots
  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), aa=-(real(p5)-2),
  bb=(imag(p5)+0.00000000000000000000001),
  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=sqr(z)/(z^(aa)+bb)+c
  |z|< 1000000 }

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