;     Date: Sat, 03 Jan 2009 23:35:43 -0500
; 
;       To: fractint@mailman.xmission.com
; 
;     From: Jim Muth <jamth@mindspring.com>
; Reply-To: Fractint and General Fractals Discussion
; 	  <fractint@mailman.xmission.com>
; 
;  Subject: [Fractint] FOTD 04-01-09 (Filament Abundance [6.5])
; 
;       Id: <1.5.4.16.20090103233728.2b9751ec@pop.mindspring.com>
; ---------
; 
; 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=========================================
; 
; 
; 
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