;     Date: Mon, 12 Aug 2002 10:24:22 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 12-08-02 (The Richest Fractal [7])
;       Id: <1.5.4.16.20020812102509.2a0759c0@pop.mindspring.com>
; ---------
; FOTD -- August 12, 2002 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's fractal image, which rates a 7, is named "The Richest 
; Fractal".  Yes, I realize that the Mandelbrot set is in all 
; likelihood the overall richest fractal, but in the M-set (and 
; the Julia sets) it is not possible to illustrate much of the 
; overall variety in a single image.
; 
; However, in today's image, which is a scene in a valley of the 
; Z^1.555+C Mandelbrot fractal, much of the variety does appear in 
; a single picture.  This is possible because the branch cuts have 
; thoroughly scrambled the original fractal into an omelet of 
; which today's image is a small sample.
; 
; As is almost always the case in my FOTD fractals, there is a 
; midget at the center.  And there are midgets also lurking near 
; the top and bottom of the image.  This abundance of midgets is 
; quite unusual in this exponent range, and, combined with the 
; overall variety, makes the image one of the richest of all time. 
; The rating of 7 might be a bit liberal, but a liberal view makes 
; one feel better, so a rating of 7 it is.
; 
; Enjoy the fractal scene!
; 
; The render time on my tired old P200 machine is 9 minutes.  On a 
; state-of-the-art screamer it will be notably less, but not 
; 1/10th the time.  Apparently, the screaming machines with 10 
; times the cycles per second do less fractal calculation on each 
; cycle.  The wait-to-see can be reduced even further by visiting 
; the web site of Paul at:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; or of Scott at:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; and downloading the completed GIF image from there.  But allow a 
; few minutes for the image to be posted before visiting.
; 
; The fractal weather Sunday here at Fractal Central was typical 
; summer fare, with hazy sunshine, a temperature of 93F 34C, and 
; moderately high humidity.  The dynamic fractal duo passed the 
; day alternating between the cool indoors and the rather 
; uncomfortable (for humans) outdoors.
; 
; As for this human, he's about ready to pass the day changing the 
; work to be done into work done.  The task will take about 6 
; hours, so until next time, which will be on the 14th, take care, 
; and keep searching.
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE================================

TheRichestFractal { ; time=0:09:15.03--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=floor passes=1
  center-mag=+0.66148150361188480/+0.368251074896650\
  90/798.3305/1/107.5/2.71022093656370089e-012
  params=1.555/0/-4.64/0 float=y maxiter=8000
  inside=0 logmap=110 periodicity=10
  colors=000wMUtLTqKToKSlJSjJRgIRdIQbHQ`DNaHQbLSbPUd\
  SXeWZg_`ibckfeljgnmjoqlqunrxpstnsplsljshhsdgs`esXc\
  tUatQ_tMZtIXtEVtATt6Ru2Rt3Qs3Pr3Or3Oq3Np3Mo4Lo4Ln4\
  Km4JlGIoIDlKIiMMfOQcQVbSZcUadWeeYhf_kganhcqietjgwi\
  fugdsfcqdboc`ma_k`Zh_XfYWdXVbVT`USZSRXRPVQOSONQNLO\
  LKMKJKIHIHGGGFEKIKOKPRMUVPZZRdaTieWniYshGyl_xtwyps\
  wmpujmtgjrdfpacoZ`mWYkTVjQRhNOfKLeHIcCDcEFbGGbHHbJ\
  IaLKaMLaOM`QN`RP`TQ`VR_WS_YU__VZ`WZbXZdZYe_Yg`Ymc_\
  haYc_WZYVUWTQUSLSQGQPBON7RM9UUAa`8leBhgDehFbiHZjJW\
  kLTmNPnPMgRJeUFhTGqSGqRHrRHrQIsPItPJtOJtNKuNKuMLvL\
  LvLMwKMwJNxHMzJNxKOwLPvMQuNQtORrPSqQTpRUoSUnTVmUWk\
  VXjWXiXYhYZgZ_f_`d``caabbbacc`dc_edZeeZffZggYhgYih\
  XjiXkjXlkWmlWnmVonVnoWonVonUonTonSonRpnRpnQpnPpnOp\
  nNqnNqnMqnLqnKqnJrmJrmIrmHrmGrmFsmFsmEsmDsmCsmBtmB\
  tmAtm9tm8tm7tm7sl9rlBqlDpkFpkHokJnjLmjNljPliRkiTji\
  VihXhhZggahh`hi`hj`ik_il_ }

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==================================
; 
;