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.

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