;     Date: Tue, 09 Nov 2010 20:45:01 -0500
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 10-11-10 (The Mystical Donut [7])
;       Id: <1.5.4.16.20101109204500.145fdb50@pop.mindspring.com>
; ---------
; 
; FOTD -- November 10, 2010 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Like all images in the month of November, today's image lies in 
; an unfamiliar slice of the Z^2+C Julibrot.  I'll not try to 
; describe the location or orientation of the parent-fractal 
; slice, other than reporting that it is centered on Seahorse 
; Valley and is double-rotated halfway between the Mandelbrot and 
; Julia orientations.  This is little help, since in the 4-D 
; Julibrot there are countless orientations halfway between the M 
; and J directions.  Today's scene is located on the rudimentary 
; main stem of the parent slice.
; 
; I named the image "The Mystical Donut".  I know it's a rather 
; silly name.  There is little of a mystical nature in a donut.  
; But I can't help it if I saw a donut in the image.
; 
; Most of the image's detail was created by rendering it with the 
; outside set to 'real'.  The 'imag' and 'summ' options work 
; almost as well.
; 
; The rating of a 7 makes the image worth the minute required to 
; run the parameter file.
; 
; Those with over-qualified machines can hopefully find the eye-
; ball-ready image posted to the FOTD web site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; A mixture of sun and clouds prevailed here at Fractal Central on 
; Tuesday, with the clouds predominating.  The temperature of 55F 
; 13C was just a bit too chilly for maximum comfort, though it was 
; about normal for early November.  The fractal cats enjoyed the 
; sun when it appeared and sought comfort by the heat when it went 
; behind the clouds.
; 
; My day was average.  Isn't that boring?  The next FOTD will be 
; posted in 24 hours.  Until then, take care, and do we exist even 
; when we are unconscious?
; 
; 
; Jim Muth
; jamth@mindspring.com
; 
; 
; START PARAMETER FILE=======================================

The_Mystical_Donut { ; time=0:01:03.50-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 center-mag=-1.41420407/\
  0/724383.1/1.5564/-90/0 params=45/0/-45/0/-0.75/0\
  /0/0 float=y maxiter=1400 inside=0 outside=real
  colors=000JffIeeIddIccIbbIbaIb`Ib_IbZIbYIbXIbWIbVI\
  bUKaTLaSNaROaQQaPSaOTaNVcMXeLYgK_iK`kKdmKhoKmqKrsK\
  vs2zz2zzzzzzzzzzzzvuzrw2my2hz2ZoCUeMPVWKLfGApCAzB8\
  vB6tB4rB3oB3mA4kA4iA5gA6eA6dA7c97b98a98`99_9AZ9AY8\
  BX8BW8CV8CU8DT8DS7ER7EQ7FP7FO7FN7GM7GL7GN7HP7HS7IU\
  7IW6IZ6J`6Jb6Je6Kg6Ki6Ll6Ln6Lp6Ms6Mu6Mw8Nv9OuAPtBP\
  sCQrDRqERpGSoHTnITmJUmKVlLVkMWjOXiPXhQYgRZfSZeT_dU\
  `cV`cSZdQYeOXeMWfJVgHUgFThDRiBQi8Pj6Ok4Nk2Ml0Ll2Nh\
  3Od4Pa5QY6RU7SR8TN9UJAVGBWCCX8DY5BaDAeL9iT8l`AmaBm\
  bDmcEmdGmeHnfJngKnhMniNnjOnkQolRomTonUooWopXpqZpr_\
  psaptbpucpuensflrgkqhipigojfnldlmcknajo_ipZhqXgrWf\
  n_djbcffabi`Zm_VpYRtXOwWNtVMqVLoVKlVJjUIgUHeUGbUF_\
  UEYTDVTCTTBQTAOTCPUDQUERUFSUGTUHUVIVVJWVKXVLYVNZWO\
  _WP`WQaWRbWScXTdXUeXVfXWgXVeUVcSVbQV`OV_MVYKUXIUVG\
  UUEUSCURAUP8UO6SSDQWKP_QNcXMgbKkiJnoKnpKnpKnpKnpKn\
  oKnnKmmKllKkkKjjKiiJhhJgg }

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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