;     Date: Sun, 07 Nov 2010 10:14:39 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 07-11-10 (Home of the Spiral [No Rating])
;       Id: <1.5.4.16.20101107101445.1427c548@pop.mindspring.com>
; ---------
; 
; FOTD -- November 07, 2010 (No Rating)
; 
; Fractal visionaries and enthusiasts:
; 
; The lateness of today's image is due to a not-so-surprise 
; antiquing expedition that arose not-so-unexpectedly on Saturday. 
; But better late than never.
; 
; Today's FOTD is the parent fractal of yesterday's 'Almighty 
; Spiral' fractal.  The actual spiral that filled yesterday's 
; image lies humbly at the right edge of today's scene.
; 
; Many other spirals fill the upper half of the image, which lies 
; on the bud side of the Mandelbrot valley that is visible as the 
; two brilliant wedges jutting across the center of the outer 
; shape.  The lower half of the image, which is the main-bay side, 
; has no spirals at all.
; 
; Today's image is not a Julia set, but it comes very close.  It 
; is double-rotated 0.04 and 0.04 degrees from the actual Julia 
; orientation.  (Double rotation is a mathematical abstraction 
; most difficult to comprehend.  Nothing at all like it exists in 
; three-dimensional space.)  But the orientation of today's image 
; produces many Julia characteristics and also shows the position 
; of the hairline spirals in relation to the Mandelbrot aspect of 
; the area.
; 
; With today's image being a near-repeat of yesterday's, I could 
; give it no rating.  The name "Home of the Spiral" needs no expla-
; nation however.
; 
; The calculation time of almost 10 minutes will need to be 
; endured in nail-biting impatience.  I hear that Paul Lee has 
; been in the hospital for over a week, and has been unable to 
; update the FOTD web site.  Fortunately, he appears to be on the 
; road to recovery.
; 
; But a trip to the FOTD web site that he has maintained for over 
; 13 years and that holds the past FOTD images is always a lot of 
; fun.  The web site may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Heavy scudding clouds, blustery north winds and a temperature of 
; 43F +6C made Saturday quite brisk here at Fractal Central.  The 
; fractal cats had enough heat inside that they never noticed the 
; outside chill.
; 
; When the antiquing was over and done, my day was reasonably 
; settled.  The next FOTD will be posted in 24 hours.  Until then, 
; take care, and the answer may lie where least expected.
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE=======================================

Home_of_the_Spiral { ; time=0:09:52.49-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=1
  center-mag=0/0/0.8503401/1/126/0 periodicity=6
  params=89.96/0/89.96/0/0.3272613/0.0561252/0/0
  float=y maxiter=150000 inside=0 logmap=yes
  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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