[Fractint] FOTD 15-05-08 (Looping the Loop [No Rating])

15 May 2008

      FOTD -- May 15, 2008 (No Rating)

Fractal visionaries and enthusiasts:

Due to the busy conditions here at Fractal Central, today's FOTD 
is a very hasty one that deserves no rating.

The unusually fast image lies in the fractal that results when 
the formula Z^(1.37)+C is iterated at level 1.37 of the complex 
log ladder when no function is applied.

This parent fractal is shaped something like a garden mole 
pulling itself halfway out of its burrow.  The mole's head 
appears as a large period-2 bud, with a pointed snout.

Today's scene is located on a zigzag filament in a clump of 
debris on the northeast shore of the main bay.  To add a bit of 
interest, the image was rendered with the outside set to 'tdis'.

I named the image "Looping the Loop" for no good reason.

The fireball-fast calculation time of under 23 seconds is made 
possible by the unusually small magnitude of 35.  And as always, 
the finished image is available for immediate viewing on the 
FOTD web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

Wednesday started sunny here at Fractal Central, but by noon the 
sky had clouded over, and by late afternoon light rain had moved 
in. The fractal cats observed all this with disinterest.  In my 
department the day was unusually busy.  Thursday will be another 
busy day, though not as hectic as Wednesday.  If all goes as 
planned the next FOTD, as unimpressive as it might be, will be 
posted in 24 hours.  Until then, take care, and search for good 
fractal fortune.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

Looping_the_Loop   { ; time=0:00:22.81-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=0.802447/0.710266/35.36239/1/77.5/0
  params=1.37/0/1.37/0 float=y maxiter=1500 inside=0
  outside=tdis periodicity=10
  colors=000uzlrzkozklzjizjfzjczi`ziZzibzdez`hzXkzTc\
  zZWzdOzjGzplzjazfSzbIzZ8zWBzSEzPGzLJAIMAFOABNA8LA5\
  FA98AD8AH8AL9AP6GTDIWJKYQM_WObbQdhSfnThocjpnljjief\
  g_ceV_cQXaRYdSYfSYiTZkTZnUZpUZrWXoYWm_Vk`UhbTfdSde\
  RagQ_iPYjOWQagP`dP_aPZZPYWPXTPWRPVOPULPTIPSFPSDMV9\
  JY6G`2Db0JZ8OVGTRPZNXcJehGmgOkfVieagdhecod_m_WkVTi\
  QPgMMeHIcCFa8MZ9SXAZVAdSBkQCqOCoOEmOGkOIiOKgOMeOOc\
  OQdQRdRSdTSdUTdVTeXUeYVe_Ve`WeaWccYbe_`fa_zbZzdXzf\
  WzgVziTzkSzlQznPzpOzqMzsLzuKzvGzpCzk8zezz`zzWzz_zz\
  czzfzzjzzmzzjzzgzzdzzazzZzzWzzTzzQzzNzzKzzHzzEzzBz\
  z8zz5zzIzzVzzfzzczz_zzWzzSzzPzzLzzHzzDzz8zz9zz9zz9\
  zzAzzAzzAzz4zz6zz8zzAzzCzzEzzGzzIczK`zJYzIVzHSzGPz\
  FMzEBzAJzDGzCDzBlzk_zZNzM0zE2zD3zD4zC5zC6zC7zB8zB9\
  zAAzATzbSz`Rz_QzZPzXOzWOzVNzTMzSLzRKzPKzOJzNIzLHzK\
  GzJFzHFzGEzFDzDCzCBzBIz1Hz2Gz3Gz4Fz4Fz5Ez6Dz7Dz7Cz\
  8Cz9BzAYzYWzWUzUOz1Pz0Qz0 }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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