FOTD 30-10-14 (A New Near-Julia-Set [A-8,M-8])

31 Oct 2014

      FOTD -- October 31, 2014 (Rating A-8,M-8)

Fractal visionaries and enthusiasts:

Today's image is an 'almost' Julia set located in a different 
part of the same parent fractal that produced yesterday's image. 
Though the outer edge of the prominent object in today's image 
is shaped roughly the same as the outer edge of the object in 
yesterday's, the inner part is totally different.  Yesterday's 
midget was filled with curving, spiralling arms surrounded by 
empty 'inside' areas, while today's is filled solidly, with only 
a few open dots in the lower right corner.

The name "A New Near-Julia-Set" simply describes the nature of 
the image.

The art and math both rate an 8.  I put almost a half hour of 
heavy work into the coloring, and the 'almost' Julia sets are 
rather unique, something one does not read about in books about 
fractals.

The calculation time of a fireball 30 seconds is fast by any 
standards.  The brief time is mostly due to the rather low 
magnitude of a humble 222.  Those who would rather not humble 
themselves, can catch the image on the web sites.

The image has already been calculated and posted at:

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

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

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

  <http://user.xmission.com/~legalize/fractals/fotd/about.html>

Mostly cloudy skies and a temperature of 54F 12C made things 
feel just right for Halloween here at Fractal Central today.  
And when the trick-or-treaters showed up, the two black cats in 
the window gave them a scare they will long remember.  The 
fractal humans simply had a scary but otherwise uneventful day.

The next FOTD will probably be delayed two days until November 
3.  Until then, take care, and everyone knows that ghosts are 
only a figment of the imagination, but what of those who have 
never heard about the imagination?

Jim Muth
jimmuth@earthlink.net

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

New_Near-Julia-Set { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=+0.31328812/\
  -0.50311013/222/1/-120/0 params=89.99/0/89.99/0/\
  -1.4221/0.2244/0/0/2.5/0 float=y maxiter=1500
  inside=255 logmap=11 periodicity=0
  colors=00070L80N90OA0PB0QD0SF0TH0UJ0VL0XN0ZP0`R0bV\
  0dY5jaAp_KocPogUoiZojcnjfmgilelUcpCfsDivEjwEmwFrwF\
  twGzxHzwHzwIuwIpvLmrNjmQghSdcVaZX`U_ZPaYKdXFfWCdWA\
  bWB`VD_VEYVGWUIUUJSULQTNOTONTQLSRJSTHSVFRXDR_BRaAP\
  `9O_8MY8LW7JU7IS6GQ6FO5DM5CK4AI39G39E37B2682451331\
  110K00UBTPDNLFHJEFIDEHCDFBCEABD9AB89A7896775664553\
  4323212101`NwVJnQGeLDYF9PA6H538OmSiz9_m7R`5IP39C1J\
  E1970f_zYSmPL`HEP87Cuz7mr6fj5_b4TV3LN2EF1770WYGSTE\
  OPCKLAGH8CC6884zXXvVVrSSoPPkMNhKKdHIaGGYEFVDDRBCOA\
  AK89H77D56A446233110kU0aO0SI0JC096U7cS6`Q6ZO5WM5UK\
  4RI4PG3MF3KD3HB2F92C71A517305102XAAU99S88Q88O77M66\
  K66I55G55E44C33c33U22K11F11200FmfEicDf`CcYB`WnYTwz\
  0mf07PL6LI5IG4FD3CA298KKKUUUMOnKMzIKzGIzEGzCEzBCz9\
  Az78m56c34U12KDqIAfE7WA5L72A3leJhbHe_GaXEZUDVRCSOA\
  OL9LI8HF6EC5A947623311MN0KL0JK0IJ0HI0GH0FG0EF0DE0C\
  D0BC0AA099088077CFrCMtUUU }

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=========================================

Jim Muth

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