[Fractint] FOTD 18-05-08 (Flight of Fancy [6])

18 May 2008

      FOTD -- May 18, 2008 (Rating 6)

Fractal visionaries and enthusiasts:

We're already 10 or 12 hours late with today's FOTD, so I'll 
keep the discussion short.

Today's image is named "Flight of Fancy".  It's an appropriate 
name.  After all, are not all fractals flights of fancy?

But we have seen many such squashed-pancake images over the 
history of the FOTD, making it difficult to rate today's image 
higher than a 6.

Perhaps the main feature of the image is its celestial blue 
colors.  The colors might be celestial, but fractals need more 
than just fancy colors to gain a superior rating.

The parent fractal came about when I iterated the formula 
Z^(1.57)+C at a level 0.57 units up the logarithmic ladder, 
while applying no function.  This parent reminds me of a sopping 
wet dish cloth slung over the edge of a shelf, but it has a 
curious something just off to the west of its main bay, with a 
trail of debris leading to this odd thing.  Today's image is 
located where the debris joins the oddity.

The calculation time of 4-2/3 minutes is barely within reason, 
so waste no time in setting up the included parameter file and 
running it.  The image may also be seen on the FOTD web site at:

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

Due to the odd hour of my posting, give Paul a chance to run the 
parameter file and post the finished image there.

Saturday began sunny but unusually chilly here at Fractal 
Central.  Dark clouds moved in during the afternoon, with several 
light showers passing over.  The high temperature of 57F 14C was 
most un-springlike.  The fractal cats ignored the weather, and 
spent the afternoon chasing each other up and down the hallway.

In my section, things were rather busy, and will probably remain 
so for several weeks.  The next FOTD will appear in around 12 
hours.  Until then, take care, and move forward.

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

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

Flight_of_Fancy    { ; time=0:04:40.14-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=-1.114717333522346/-0.1301401672941029/\
  3.823849e+009/1/-90/0 params=1.57/0/0.57/0 float=y
  maxiter=3600 inside=0 periodicity=10
  colors=0008rX8rX7o_7ma6kd6if6gi5ek5cn5ap4_s4Yu4WwC\
  _vJcvQgvXjvcnujruqvuxyuvwrtuorslqqioofmmdkkajiZhgW\
  feTdcQcaOfeNhiMjmLlpLhmRdkX`haXfgTclParM_wNXrNUnNR\
  jNOfOLbOJZOGUODQPAMP7IP4EP2AS6FVAJYDN`HRcLVfO_iScl\
  WgoZkrbotespctlbtiate`ub_uZZuWYvSXvPWvLVwIWwEVzBWz\
  7Rz4OxCPnJOeQNXYMNdLEkL5lO6mR6nU6oX7p_7rb7td8ug8vj\
  8wm9xp9ys9zu9zwJzzSdiaZejTasX`n__ibZeeY`iYXlXSoWOr\
  VJuVFrUHpUJnULlUNjTPhTRfTTdTUbSW`SYZS_XSaVRcTReRRg\
  PRhROgSLgTJgVGgWDgXBgVEcTG`SIYQKVPNSNQPMTMKWJJZGHX\
  IFUJDRLBOM9L07I05F03D05G06J07LP9OOARNBTNDWMEZLF`KH\
  cJIfIJhINbTQXcTRnWLxZLkaL_dLOgLCiL0cK1YJ2SI3NI3HH4\
  BG56G5IiFKdGL`GMXGNSHPOHQKHRFISBIT7IR6MP6QN5TM5XK5\
  _I4cH4gF3jD3nC3qE4rF5rH7rI8sK9sLAsMCtODtPEuRFuSHuU\
  IvVJvWKvTHrRFoPDkNBhL9dJ7aH5YF3VD1SH5PL8MPBKTEHWHE\
  _KCcN9gQ6jT4dX4__4Vc4Qf4Li4Gm4Bp46s4DqBJpHQoNWnTal\
  Zhkdnjjtipmdlf_i_Vf8sY8sY }

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