;     Date: Mon, 26 Aug 2002 10:59:29 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 26-08-02 (The Web of Terror [7])
;       Id: <1.5.4.16.20020826110024.0d974d3a@pop.mindspring.com>
; ---------
; FOTD -- August 26, 2002 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; The midget at the center of today's image is located on the 
; X-axis of its parent fractal, which has X-axis symmetry.  This 
; is demonstrated not only by the coordinates in the parameter 
; file but by the straightness of the arms radiating from the 
; midget.  The 180 degree rotation of the image does not change 
; the east-west orientation of the X-axis, so why do 2 out-zooms 
; reveal a north-south oriented axis?  The mystery is not very 
; deep, a few more out-zooms reveal the true situation -- the 
; X-axis is not continuous.
; 
; Actually, only one out-zoom reveals an interesting scene -- a 
; near-perfect array of square figures that almost made it as 
; FOTD.  The choice between the squares in the out-zoom and the 
; octagons in today's image was a toss-up.  The squares lost only 
; because one of the two images had to lose.
; 
; The generating formula subtracts 0.2 part of Z^(-3) from Z^(-2) 
; before adding 1/C.  If I had added the 0.2 part of Z^(-3) rather 
; than subtract it, the resulting parent fractal would still have 
; had X-axis symmetry, but its overall shape would have been 
; totally different, and of course, today's image would not have 
; existed.  (More accurately, it still would have existed but it 
; would never have been found.)
; 
; I used the MandelbrotMix2 formula to find today's image.  This 
; formula works the same as the overworked MandelbrotMix4 formula, 
; except that it includes the capability to change the starting 
; point of Z.  This capability is not used in today's image.
; 
; The name of the image, "The Web of Terror", which sounds like 
; the title of a horror movie, has no connection whatever to the 
; appearance.  I might have had a fleeting impression of a 
; spider's web, but if so, I can no longer see the resemblance.  
; The rating of 7 seems fairly accurate, and those who spend the 
; 3 minutes to run the parameter file will not be disappointed.  
; Those who download the completed GIF image from:
; 
;           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; or from:
; 
;           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
; 
; will not be disappointed either.
; 
; The Sunday weather here at Fractal Central was perfect for most 
; anything, with blue skies, puffy white clouds, gentle breezes, 
; low humidity, and a temperature of 86F 30C.  The fractal duo 
; were happy all day, which is a rare event for them.
; 
; My happiness however depends on finishing the work I now find 
; before me.  If I start now, I can be finished by 3pm.  If I wait 
; an hour, I will not finish before 4pm.  If I put off some of the 
; work until tomorrow, I can be finished by noon.  Most likely, 
; I'll choose the first option.  Until next FOTD, which will 
; arrive in all its glory within 48 hours, take care, and beware 
; of fractals lurking in dark corners.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE================================

The_Web_of_Terror { ; time=0:03:13.01--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix2 function=recip passes=1
  center-mag=+7.662161881652889/0/1.171407e+011/1/180
  params=1/-2/-0.2/-3/0/0/0/0 float=y maxiter=500
  inside=0 outside=tdis periodicity=10
  colors=000z8z89S8AR9AP9BOACMADLADK9CJ9BI8AI89H78G7\
  8G77F66E65E54D53C53CB7EGBFLEHRIIWLJ`PLeSMkWNqZPwbQ\
  zeRxcSrbSn`Sk_SgYScXS_VSXUSTSSPRSLPSIOSEMSALS6JS3I\
  S4KQ5LP6MO6NM7OL8QK9RI9SHATGBUECWDCXCDYAEZ9F_8F`7I\
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  RQROMVMIYKKVILSHMQFONDPLCQIARG8TD7UB5V84W6KdKZlXYj\
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  bRWdPXfOYhMZjLZkKWeOT_RQUUNOYKI`ICcJH_KMXKQUJSWJTX\
  JVZJW_IX`IZbI_cI`dIbfHcgHdhHfjHgkHhlPilWilcjljjlqj\
  leZgUObIDY62TEFPMRL8tF9qKAoOBmSBkWCi_DfdDdhEblF`pF\
  ZtH`sIarJcqKdpMeoNgnOhmPilQkkSljTmiUohVpgWqfVpcVpa\
  Vo_VoYVoWUnUUnSUnQUmNUmLTlJTlHTlFTkDTkBTk9ShASeARb\
  BR`BRYCQVCQTDPQDPNEPLETJDWHD_FCbDCfBBi9Bm7Ap5As3Ap\
  6Cm9DjCFgEGdHHaKJZNKXPL_OIbNFeNDXMrYNsmL5lQAkVEj_J\
  idNhiSgnWgq_eoaclcbhe`egZaiYZkWVmVSnWRpXQqYPsZOtZN\
  uSWsMdrGmpAvoe1hO4b66X77V }

frm:MandelbrotMix2 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

; END PARAMETER FILE==================================
; 
;