;     Date: Thu, 04 Nov 2010 22:06:55 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 05-11-10 (Order-Three Nonsense [No Rating])
;       Id: <1.5.4.16.20101104210657.12c7053a@pop.mindspring.com>
; ---------
; 
; FOTD -- November 05, 2010 (No Rating)
; 
; Fractal visionaries and enthusiasts:
; 
; I rather enjoyed the half-and-half view of Seahorse Valley that 
; I posted as the FOTD for yesterday.  Today I decided to take it 
; one step further and see what would happen if I calculated the 
; same type of view of North Valley.  The result is today's image.
; 
; The image closely resembles yesterday's, with the outer shape 
; being the familiar Julia set of the area, with the bloated 
; Mandelbrot-valley aspect filling the inside.
; 
; At first glance, today's image appears to have origin symmetry.  
; A second glance however reveals that it has no symmetry.
; 
; An even greater change is in the periodicity.  In yesterday's 
; image the blunt spirals had two arms; in today's image there 
; are three arms in each spiral.
; 
; I re-used the same color palette to bring out the similarities 
; in the images.  But this makes today's image too much of a 
; repeat for an honest rating.  I let it go with no rating.
; 
; The name "Order-Three Nonsense" refers to the periodicity of the 
; area of the Julibrot pictured in the image.
; 
; The calculation time of 46 seconds is just about what the image 
; is worth.
; 
; The most convenient way to view the Julia-Mandelbrot nonsense is 
; to view the finished image on the FOTD web site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Heavy clouds, steady rain, and a temperature of 46F +8C spoiled 
; outdoor plans here at Fractal Central on Thursday.  Luckily, 
; with no outdoor plans, the fractal cats were satisfied indoors, 
; lying by the heat.
; 
; My day was tranquil enough, which means enough work to keep my 
; thoughts reasonably free of politics, philosophy and personal 
; opinions in general.
; 
; Now that gardening season has ended, FL found herself with more 
; spare time than she knew what to do with, but a latin soap-opera 
; soon filled the empty time.  (I wish I understood Spanish.)
; 
; The next FOTD, even higher-order nonsense, will be posted in 24 
; hours.  Until then, take care, and will there ever come a day 
; when someone discovers the last fractal?
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE=======================================

OrderThreeNonsense { ; time=0:00:46.52-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 passes=1 symmetry=none
  center-mag=-0.0201592/-0.0270368/0.9861933/1/58.5/0
  params=87/0/87/58.7/-0.125/0.66/0/0 float=y
  maxiter=2700 inside=0 logmap=yes periodicity=6
  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 all 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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