[Fractint] FOTD 27-10-05 (Julia Variation-4 [5)

27 Oct 2005

      FOTD -- October 27, 2005 (Rating 5)

Fractal visionaries and enthusiasts:

Today's image looks somewhat like a nuclear explosion.  It is 
actually a picture of the Julia set of the Z^(1.25)+C Mandeloid 
as it exists only one level up the spiral.  Or perhaps I should 
say 2.14159... levels down the spiral.  The number PI works 
better as a ground level.

The interesting Julia sets that can be created with the JuliaBC 
formula are very easy to find and they are literally endless in 
number.  And, as today's 24-second render time shows, they are 
lightning fast.

I'll post a few more low-order Julia sets before returning to 
the hoard of old, forgotten, mostly useless formulas.  I want to 
check the Julia sets of a few of the square-root-of-two 
Mandeloids.

Since today's fractal basically found itself, I could rate it no 
higher than a 5.  The name merely indicates that it is the 
fourth in the series of similar images.  (The first in the 
series was not an FOTD.)  For the convenience of those with over-
qualified computers, the completed image is available on the 
FOTD web site, which may be accessed at:

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

A chilly blustery day Wednesday produced just enough sun to keep 
the cats in a neutral mood as they lurked in the yard.  With the 
work still caught up, my mood was good.  Today is starting sunny 
but chilly, leading me to expect another marginal day for the 
cats.  The next FOTD will appear in 24 hours.  Until then, take 
care, and be with it.

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

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

Julia_Variation-4  { ; time=0:00:24.06--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC center-mag=-0.0612658/0.043239\
  /0.3908483/1/-90/3.88578058618804789e-016
  params=1.25/0/1/0/0.09428/-0.0025/0/0 float=y
  maxiter=1000 inside=0 outside=real periodicity=10
  colors=000HL8FM8DN7BO79P67Q65R53S51T54U77V89WACXBF\
  YCHZEKaFNcGPfIShJUjKWfNYcQ_`T`YWbUZdRahOcmLfrHivEl\
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  adfchidkkfongrphurbkoYamTSjOIhJ8fNAgQChTEiWGiZIjaK\
  kdMlgOljQmmSnpUnlTkiThfSecSb_R_XRXUQURQROQOMPNKPNI\
  PNHONFOMDOMCNMANM8NL7ML5ML3ML2ML4NO6NR8OUAOWCOZEPa\
  GPdHPfGQbFQ_FRWERTERQDSMCSJCTFBTCBT9EU8GV8IW8LX8NY\
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  Y1NW2RV2UU3YT3`S4dR4gQ5kP5nO6rN6uM6xP7tR7pT7mV7iX7\
  fZ7b`7Zb7Wd7Sf7PhANiDLjGJ }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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