;     Date: Fri, 05 Nov 2010 19:35:35 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 06-11-10 (Almighty Spiral [6])
;       Id: <1.5.4.16.20101105183538.1087b826@pop.mindspring.com>
; ---------
; 
; FOTD -- November 06, 2010 (Rating 6)
; 
; Fractal visionaries and enthusiasts:
; 
; Usually, I put little effort into fractal spirals.  They're very 
; easy to find and nearly everyone does them.  But the spiral in 
; today's image is so unusual that I had to make it a Fractal of 
; the Day.
; 
; I found the spiral when I tried to extend the trick of the two 
; most recent FOTD's to the valley of the period-10 bud on the 
; northeast shore line of the Mandelbrot set.  The trick worked as 
; I thought, producing the anticipated image, but I never expected 
; the image to be filled with such hairline-thin spirals.
; 
; Today's scene is a blow-up of a small part of the full image, 
; which in itself is quite interesting.  (The full image will be 
; the FOTD for tomorrow, November 07.)
; 
; Actually, images with very fine details such as today's and 
; tomorrow's are improved by anti-aliasing, which helps eliminate 
; the awkward breaks in the finer parts.  Because of the fine 
; detail in today's image, I recommend calculating it at the 
; highest resolution available.
; 
; The name "Almighty Spiral" is overblown.  The spiral is not all 
; that great when compared to some that have been found by others, 
; though it is probably the best I have found.
; 
; If spirals were not so commonplace, I might have rated the image 
; higher.  As it is, a rating of a humdrum 6 will have to do.
; 
; The calculation time of 11 minutes is for a resolution of 
; 640x480.  It will be far longer if the image is rendered at a 
; higher resolution than this.  But for the true fractal-spiral 
; fan, the result will be worth the wait.
; 
; The finished image is posted on the FOTD web site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Sprinkles of rain fell during the morning Friday here at Fractal 
; Central.  A few breaks of sun appeared during the afternoon, but 
; not enough to lure the fractal cats to their shelf by the south-
; west window.  The temperature of 52F 11C was about normal for 
; early November.
; 
; The next FOTD will be posted in 24 hours.  Only a surprise 
; antiquing trip could delay it.  Until next time, take care, and 
; expect the unexpected.
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE=======================================

Almighty_Spiral { ; time=0:11:12.40-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=t periodicity=6
  center-mag=-0.448511/-0.894674/9.159484/1/114/0
  params=89.96/0/89.96/0/0.3272613/0.0561252/0/0
  float=y maxiter=15000 inside=0 logmap=-3
  colors=000REQSESUEUWEXYFZ_G`aHbcIeeJigKmiLqkMtmNwk\
  OziPygQxeRwcSvaTu_UtYVqWWnUXkSYiQZfOZcMYaKXZIWWGVU\
  EURCTOASM8RJ6QG4PE5OF5NF5MF5LF5KG5KG5KG5KG6KH6KH6K\
  H6KH6KI6KI6KI6KI8KH9KGALGBNFDQEESEFUDGWDIZCJ`BKbBL\
  dAMfAQbET_IWXMZUQbQTeNXhK`kHdnEgoFfoFepFdpGdqGcqGb\
  rGarHasH`sH_sH_uL`vO`wR`xVayYaz`asaYlaUebRZbNScKLc\
  GEdD7d91d5AdFFdPKeZUeccehmfhlfdiecfdbcca`b`Za_W`ZT\
  _YQZWNYVLXUIWTFVSCUR9TQ7TPEXOL`OSdNZgNcdRMlCOpDMlC\
  LiCMfCNcCO`CPYBQVBSSBUPBWMBYJB_GAaDAcAAc7Ac4Ac1Ac3\
  Cc5Dc6Ec8Fc9HcBIZCJUEKPFMKHNFIOAKP5MR3NS3PT3QU3SW3\
  TX4VY4W`4Yc4Zh4`m4ar4cv4ez4fz5iz5jz5lz5nz5oz5oz5pz\
  5pz5pz3qz5qz6qz8rz9rzBrzCszDszFszGtzItzJtzKuzMuzNu\
  zPvzQvzSvzTwzUwzWwzXwzZwz_wz_wzawzbwzcwzdwzewzfwzh\
  wziwzjwzkwzlwzmwzowzpwzqwzqwzqwzqwzqwzrwzrwzrwzrwz\
  rwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrwzrw\
  zrwzrwzrwzrwzrwzrwzrwzrwz }

frm:SliceJulibrot2   {; draws most slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

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