[Fractint] FOTD 06-01-13 (Stuck Baghorn [7])

6 Jan 2013

      FOTD -- January 06, 2013 (Rating 7)

Fractal visionaries and enthusiasts:

Today's image is named "Stuck Baghorn".  The name has only a 
little to do with the actual image, which appears as a pentagon 
with rudimentary staghorns (velvet antlers) jutting from its 
edges.  But these baby antlers reminded me of an old Canadian 
funny-animals show starring a character named 'Buck Staghorn', 
who was always stuck in his camper out in some wilderness, 
observing the antics of the local wild animals and sending 
messages back to Beatrice at Staghorn Central.  And yes, 
Staghorn Central was the inspiration for Fractal Central, which 
is equally as real.

And as for today's image, it is only half real also, as are all 
fractals.  For a (minor) change, I have switched from the 
expression Z^(-4.01) to (-Z)^(-5.01).  Iterating negative Z 
instead of positive Z rotates the fractal so that one of the 
sharp points of the Mandeloid falls on the real positive X-axis 
rather than in complex territory, where, with two coordinates to 
adjust, searching for Julia sets is far more troublesome.  The 
SliceJulibrot5 formula might be a new one for the list.  I'm not 
sure.

The image itself rates a 7, at least IMO.  A bit more detail 
might have raised the rating to an 8, and I'm certain that 
better Julia images do exist in this area, but laziness has once 
again won out, and I made no effort to improve on the scene.  
(Tomorrow is another day however.)

The calculation time of a mere 10 seconds is no typo.  The image 
really does finish almost before it starts.  And in addition, 
the web sites are available to remove even the chore of running 
the parameter file.

The finished image is posted online at:

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

with augmented variations at:

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

Thousands of back images may be accessed at:

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

Clouds were plentiful here at Fractal Central today, but the 
lack of wind and temperature of 41F +5C kept things relatively 
pleasant for January.  With the temperature so far above 
freezing, the forecast of light snow this evening will probably 
prove to be a bust however.  The fractal cat passed most of the 
day stretched by the heat, except when he used up excess energy 
playing with his cat cubes.  The humans, (at least we were human 
the last time we checked), passed the day doing as little as 
possible.

The next FOTD will be posted before long.  Until then, take 
care, and what are fractals but a temporary break from pondering 
the deeper problems of life?

Jim Muth
jimmuth@earthlink.net

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

Stuck_Baghorn      { ; time=0:00:10.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=0.0670723/\
  0.206427/0.2693157/1/18/0 params=90/0/90/0/\
  1.528410596/0/0/0/-5.01/3550 float=y maxiter=1500
  inside=0 periodicity=0 periodicity=0
  colors=000FKYzA8GC8GE8GG8Ec8CG8Ac88z88hzmGC8Gz8GG8\
  EG8CG8AGBBGCBGDBGFBGGBGGBFGBDGBCGBBGCBGDBGFBGGBFGB\
  000CABBzBBzzBGDBcFBGGBFGBczcccUKUF00zz000000000000\
  000000e0e00eeUAKe0eeL0eeeLLLLLzLzLLzzzLLzLz000zzz0\
  00555888BcBEEEHHHKKKOOOhccWWW___ccchhhmmmssszzz00z\
  G0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0HFHVz0Gz00z00z\
  G0zV0zj0zz0jz0VzmrzVVzbVzjVzrVzzVzzVrzVjzVbzVVzbVz\
  jVzrVzzVrzVjzVbzVVzVVzbVzjVzrKKKVrzVjzVbzhhzlhzqhz\
  uhzzhzzhuzzzzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhzlhzqhz\
  uhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70SE0SL0S\
  S0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLESOESSES\
  SEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLESOESSEO\
  SELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKSSKQSKO\
  SKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0GG0CG08\
  G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0CG08G04\
  G88GA8GC8GE8GG8GG8EG8CG8A }

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