[Fractint] FOTD 18-06-12 (Shield of the Woods [8])

18 Jun 2012

      FOTD -- June 18, 2012 (Rating 8)

Fractal visionaries and enthusiasts:

The parent fractal of today's image is a Mandelbrot set rather 
heavily infested with Z^(1.5) energies.  The infestation has 
caused the main spike to be largely swallowed up into a higher 
dimension and the large minibrot to squeeze down into a kind of 
'pac-man' shape.  Today's image is a Julia set of the blunt 
valley that serves as pac-man's throat.

I named the image "Shield of the Woods" because of the forest of 
trees that appears to surround the central shield.  The rating 
of an 8 includes a half point coloring bonus, which might or 
might not have been earned.

The tree-like features in today's image are quite common in the 
Julia sets of certain types of valleys in Mandeloids of 
fractional values.  For a brief time I considered subtracting a 
point from the rating because of the familiarity of these 
fractal trees, but then I decided the image was attractive 
enough to honestly rate the 8.

There is no debate however about the calculation time.  At a 
brief 40 seconds, the time will pass before impatience can even 
be thought about.

See the finished image on the FOTD web site at:

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

A high-definition version is online at:

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

All the images are at:

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

An early morning shower ended by 9am but left heavy clouds 
overhead for the rest of the day.  The clouds held the 
temperature to a chilly 70F 21C and depressed the fractal cats, 
who slept through a good part of the day, taking a break only to 
explore the latest arrangement of their cubes.

The humans had a typical day, except for a minor squabble over a 
negative political ad.  The next FOTD will be posted soon; 
nothing more definite is promised.  Until whenever, take care, 
and I'm still waiting for the candidates to explain why they 
should be elected instead of why the other guys should not.

Jim Muth
jimmuth@earthlink.net

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

Shield_of_theWoods { ; time=0:00:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip
  center-mag=0/0/8 params=1.5/400/90/0/90/0/-1.7571/\
  0/0/0 float=y maxiter=15000 inside=0 periodicity=6
  colors=00002F00C0080050020000000000000000200400740\
  850C70F82IA7LDDPFIUHNYIUaK`cFebAaa5WY2PU2MO2KM2KJ0\
  IH0HF0GD0FC0DA0C80B50940820700500400400200lezlHzhz\
  liugipciiZkdVkYRkSMlLIlFDl78l04m48m7DmAIoDMoHRoKVo\
  MZpPcpSgpVkpYoqaqsdttguuixwmyxpzyszzuzzyzzzzzzzzzz\
  zzzwzzszxpyslxmhuhetcaqYYpSVoMRlHMkAKi4Mk5Pk7Rk8Ul\
  8VlAYlC`mDamDdmFeoHhoIkoIlpKopLppLslKthKudKx`IyWIz\
  SIzOIzKHzFHzAHz7HzFKuMMoUPhZSaeVVlYOs`Hxc8ze0zh0zk\
  4zmCzoKupRosYhtdaugZthZsiYskXqlWpoWppZoqWmsVmtUlwS\
  kxPkyNizMhzKhzKhzKizIizNizNkzMkzMlzKlzPmzPmzOozOoz\
  OozMpzMpzMqzKqzPszPszPssPtrKtrFuqEuo8wm5wo0wq0up0t\
  n0sk0qi0ph0of0md0mc0l`0kZ0iY0hW0gW0eV0dU0dS0cR0aP0\
  `O0ZM0YL0WK0VI0VH0UF0SD0RD0PC0OC0MC0LC0LC0KC0IC0HC\
  0FC0DC0CC0AA0A808807705504402200000000000000000000\
  000000000pzMozLmyLmyLlxKlwKkwKkuKitIitIhsIhsIgqHgp\
  HepHeoHdmF08V07R05O04L04I }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*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),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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