[Fractint] FOTD 04-01-09 (Filament Abundance [6.5])

3 Jan 2009

      FOTD -- January 04, 2009 (Rating 6.5)

Fractal visionaries and enthusiasts:

Today's quickly-found image returns us to the MandelbrotBC3 
formula and the fractal that is formed when the expression 
Z^(1.5)+C is iterated 22.15 levels up the logarithmic hyper-
ladder with no function applied.

This parent fractal doesn't look like much at first glance, but 
it has an interesting area near the southeast shore line of its 
main bay.  Today's image is located on a filament extending from 
a larger minibrot in this area.

I rated the image at a 6-1/2, with the extra half-point added by 
my modest coloring efforts.  The name "Filament Abundance" gives 
away the appearance of the image even before it is calculated.

The calculation time of 8-1/4 minutes borders on slowness.  To 
avoid all chance of impatience, I recommend surfing out to the 
FOTD web site at:

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

and viewing the already-calculated image there.

Near full sun and a temperature of 37F 3C kept the fractal cats 
on their best behavior here at Fractal Central on Saturday.  I 
am almost always on my best behavior, so nothing more need be 
said.  The next FOTD will in all likelihood be posted in 24 
hours.  Until then, take care, and keep taking care until there 
is no more care to be taken.

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

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

Filament_Abundance { ; time=0:08:15.24-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.778594649890781/+0.04565415904501465\
  /3.0825e+009/1/-27.5/0 params=1.5/0/22.15/0 float=y
  maxiter=6000 inside=0 logmap=825 periodicity=10
  colors=000KKcKKcKKcKKcKKcKKcKKcKKcKLcKMbKNbKObKPbL\
  QbMRbRKhTKhVKhXKhVKhUKhWKhYKjZHlXKjWPgUPeSPcRPaPPf\
  NJjLRnKQrJPwIOvHNuHMuGKtFItFHtEGtDJtDMtCPtBStBVtAY\
  t9`t9ct8ft7it5rx7lt8gp9alAXiCSeDMaEHYEDXFCWFCVFCUG\
  CTGCSGBRHBQHBPHBOIBMIAKIAIJAEJAAJAAL9AJAAIAAGBAFBA\
  DCACCABCA9DA8DA6EA5EA3FA2FA0DA1FA2GA3HA4IA5JA6KB7L\
  C8MD9NEAOFAPGESFIVFMXFQ_FUbFYdFahFemFirFmvFzzFzzFz\
  zGzvFztFzrFzpFznFzkFziFzgFzeFvcFr`FmZFhXFfVFeTFpfo\
  menjemgeledlbdk_djXcjVciSchPbhMbgKbfHafEaeBad5ig9a\
  dCVbFN_JHWIGYIG_IG`HGbHFcHFeGFfGFhGEjFEkFEmFEnEDpE\
  DqEDsF9sEDtEGuDLvDOwDRxCWyCZzBczBfzBjzAnzArzAuzZkf\
  zgSzcTz`UvXVrUWmPThRWcSYZT`UUbQVeRWgTXiVYlXZnZ_q``\
  sbcxaaza_z`Yz`Wz_Uz_SzZQzcSzaPzcNzeLzgIziGzkGNmEOo\
  DOqCPsAPu9zw8zz6zz5zzczzczzczzczzzzzczzczzVJzzJzUK\
  zUKzUzzUKzzLzULzUzzTMzzLzRLzQLzzLzOKzNzzMKzzKzKJzJ\
  zzzJzHJzFzzLLzzMzXOzaPzzR }

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