;     Date: Sun, 01 Jun 2003 09:29:00 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 01-06-03 (Curlers [5])
;       Id: <1.5.4.16.20030601092833.2aaf1332@pop.mindspring.com>
; ---------
; 
; FOTD -- June 01, 2003 (Rating 5)
; 
; Fractal visionaries and enthusiasts:
; 
; We've been talking about multi-valued functions a lot lately, so 
; here's a formula and an image that takes advantage of multiple 
; values.  It's not a new formula; I have posted many FOTD images 
; created by it in the past.  But it gives an example that good 
; things can sometimes come from fractured fractals.
; 
; The formula being iterated is Z^(1.06)+C, a formula that 
; normally would produce nothing but a tiny featureless dot in the 
; center of the screen.  (Change the real (p2) parameter to pi to 
; see this dot.) But thanks to those multiple values and today's 
; formula, which takes advantage of them, the tiny dot has been 
; transformed into an immense cigar with many fields of chaos 
; around its edges.  Today's scene is a blow-up of the edge of one 
; of those fields of chaos.
; 
; I have named the image "Curlers" because of the many loops that 
; fill it.  Not really impressed with the image, I have rated it 
; at only a 5.
; 
; The render time of 1/2 hour is almost entirely expended on the 
; top inch or so of the image, so don't be concerned when nothing 
; much happens for a while.  Those who prefer not to wait the 1/2 
; hour can download the finished image from:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; or from:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; Rain fell off and on all day Saturday here at Fractal Central, 
; while the temperature reached 73F 23C.  A thunder-shower at 6pm 
; climaxed the day's events as well as the cats' dis-satisfaction. 
; Needless to say, a good treat of tuna was needed.
; 
; Today is starting cloudy, windy and chilly, with occasional 
; bursts of light rain -- not a good sign for fractal cats.  For 
; me, it's a sign I might not be able to trim the grass, but may 
; have to go along on a shopping trip.  Until next time, take 
; care, and don't get broken up over fractured fractals.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

Curlers { ; time=0:38:53.19--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=floor passes=1
  center-mag=-6.07363/12.6745/0.4719481/1/72.5/-1.23\
  3735336114705e-014 params=1.06/0/121.2/3000 float=y
  maxiter=4200 inside=0 symmetry=none periodicity=10
  colors=0007EXCCZHB`M9bR7dW6f`4hd3je7feAceE`eHYfLVf\
  OSfSPfVLfZIgaFgeCgh9gl6go3dl5bi6`f8Zc9W`BUYCSVEQSF\
  NPHLMIJJKHGLFDMHHPJKSLNVMQXOT_QWbRZdTagVdjWglXgmYf\
  mxSuxRvsSsoSpjTmfTjaUhYUeTVbPV_KWXGWVFYQF_ME`IEbDD\
  c9De5Df1Fc5Ga9H_DIXHJVLKTPLRTMOXNM`OKdPHhQFlRDpSBs\
  PAnM9iJ8dH7_E6VB5Q94L63G32B116D3NP5c`7tZ8qY9oXAmWB\
  kVCiUDgTEeSFcRGaQH_PIYOJWNJUPMTQPSSRSTURUWRWZQX`QZ\
  cP_eP`hObjOcmNdoNbmMalL`jKZiJYhIXfHWeGUcFTbESaDR_C\
  PZBOXANW9MV9OXBPZDQ`ERaGScIUeJVgLWhNXjOYlQZmR_kP`i\
  OagNbeMccLdaKd_JeZLeYNfXPfWRgVThUVhTXiSZiR`jQbkPdk\
  OflNhlMj`VqQcxSerUflWgfYi`ZjW`kQbmKdnEeo9`n8Wn7Sn6\
  Nn5In4En39n24n10n09j4Ig8QdCOeAMf9Kg7Ig6Gh5Ei3Cj2Bj\
  1bl6hn9moCrqFwrItnJrkKphKmdLkaLiZMfVNdSNbPO_LOYIPW\
  FQTBQR8RP5RKGPFRNBaL6lJ2wI4wJ6wJ7wK9wKBwKCwLEwLFwL\
  EvNEuOEtPDsRDrSDqTCpVCoWCnXBmZBl_Bk`AjbAicAhdAheDk\
  cGmbJoaMq_PsZSuYVwX4IT2GU }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)-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==================================
;