;     Date: Tue, 27 Sep 2005 10:16:57 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 27-09-05 (Square Root of 2-5 [7])
;       Id: <1.5.4.16.20050927101927.0d2ff470@pop.mindspring.com>
; ---------
; 
; FOTD -- September 27, 2005 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's discussion is terse, not because I was busy, but because 
; I spent several hours writing a rather lengthy reply to a letter 
; about dreams that was posted recently to the philofractal list.  
; The reply will appear later today on that list.
; 
; Well, I finally found a midget worth a rating of 7 in the +4321 
; version of the Z^(sqrt(2))+C fractal.  I found it on the long, 
; meandering filament that extends south and east from what passes 
; for a large south bud.  It lies in the East Valley of a much 
; larger midget on the filament.  True, much of the worth of 
; today's image is due to my coloring effort, but what's wrong 
; with the human element in the world of fractals?
; 
; Tomorrow, we'll move on to another interesting version of the 
; Z^(sqrt(2))+C fractal to see what goodies we can find there.
; 
; BTW, it's too bad that the classic Mandelbrot set comes in only 
; one version.  I guess this makes it kind of the god of fractals.
; 
; I gave today's image only a catalog listing.  Maybe I'm starting 
; to run out of names.  But a worthwhile visual artist really 
; should not need to give names to his works.  The works should 
; speak for themselves.  (Not in words of course.)
; 
; In my opinion, the 8-minute render time of today's image is 
; worth the effort.  But my opinion is not universal, so the 
; already-completed image is posted to the FOTD web site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; from where it may quickly and effortlessly be downloaded.
; 
; Mostly cloudy skies in the early afternoon turned into light 
; rain by the late afternoon here at Fractal Central on Monday.  
; The high temperature of 82F 28C was not too bad, but the high 
; humidity made things feel muggy, especially for the fractal 
; cats, who cut short their outdoor adventure even before the rain 
; set in.  The evening tuna treat eased their troubles.  Today is 
; starting breezy, with sun and cooler temperatures.  I expect a 
; better day is coming.
; 
; The next FOTD will be coming also -- in 24 hours that is -- so 
; don't miss the excitement.  Until then, take care, and see the 
; fractal sights.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Square_Root_of_2-5 { ; time=0:08:02.19--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=+0.87374438186114160/-1.340159768589525\
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  ezzezzezzezzfzzfzzfzzfzzc }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(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=========================================
; 
;