;     Date: Mon, 26 Dec 2011 17:46:30 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 26-12-11 (Seasonal Fantasy [7])
;       Id: <1.5.4.16.20111226174821.3897acd8@earthlink.net>
; ---------
; 
; FOTD -- December 26, 2011 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; The Christmas activity here at FC yesterday left me with too 
; little time to create a proper FOTD.  But today, we're back up 
; and running with a remarkable scene in the 4-dimensional Z^2+C 
; Julibrot.
; 
; The scene is located in the Scepter Valley area at an angle 
; oriented halfway between the Mandelbrot and Oblate planes.  (The 
; Mandelbrot orientation is determined by the real(c) and imag(c) 
; axes; the Oblate, by the imag(c) and real(z) axes.)
; 
; At first glance, the image bears little resemblance to either a 
; Mandelbrot scene or a Julia scene.  This is because it is a 
; hybrid scene, half Julia and half Mandelbrot.
; 
; Much of the unexpected appearance was created by the outside 
; fill of 'bof61', which is responsible for most of the smoothly 
; colored areas.
; 
; The original name I gave to the image was 'Christmas Fantasy'.  
; I changed it to "Seasonal Fantasy" to avoid offending the 
; secular community.
; 
; The calculation time of 2 minutes is a fair price for the image.
; 
; To avoid the calculation, check the finished image on the 
; official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; And be sure to check the image in the full splendor of high-
; definition at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original classic FOTD web site with all the FOTD images and 
; discussions since April 1997, and also pictures of the fractal 
; cats as well as the fractalist himself, may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; The weather today was uneventful and rather pleasant for late 
; December, with partly cloudy skies and a temperature of 45F +7C. 
; As for the fractal cats, after a day of getting into trouble 
; with the tree and the wrappings, they had no energy to worry 
; about the outside weather.  They took it easy most all day.  
; Their big excitement came when an orange tomcat we have named 
; Marmalade passed by, marking the territory as he went.
; 
; The humans spent the day recovering from the day before.  The 
; next FOTD will be posted in 24 hours.  Until then, take care, 
; and in the seventh grade, when I asked Sister Mary Thomas why 
; heaven is invisible, she replied that if we could see heaven, 
; there would be no need for faith.  When I tried to say more, she 
; told me to sit down and shut up.  Her reply made no sense to me 
; then.  Today, after a half century, it makes even less sense.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Seasonal_Fantasy { ; time=0:02:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.742221/0/\
  16.848/1/-90/0 params=0/0/45/0/-0.75/0/-0.503/0/2/0
  passes=t float=y maxiter=1000 inside=bof61
  logmap=37 periodicity=0
  colors=00030S0E_0E_0E_32R0E_1E_2E_33Q4G_5G_6GY34P8\
  KY9KY8KY35N6OY6PY5QY35M7Xi5We5Wb15L4SY3QW2PR25L1LO\
  1JL1HK05K0GK0FK0EK05K0DK0CK0BK05K09K08K08K04K06K06\
  K05K03J04I03H02G02F02E02D02C02B02A02B02C02702E0250\
  2402301201101001001201401602803A04C05E15G05I05K16N\
  48Q27T59W6AY8E_BHbDJbGMeIPgLTiNWkR_nWcqXerajwdnzel\
  zktzqyzvzzizzszzszzqzzqzzpwzpwznwznwznwznwzjtqjtqj\
  tqhtphtogqngqmeqkeqkeqkeqkbohbohbog`of`oe_le_ldZlc\
  ZlbZlbZlaWi_Wi_Wi_UiYUiXUgXUgWSgUSgUSgUSgTPeRPeQPe\
  QOePOePMbOMbOLbLLbLLbLLeKLbLLbLK_LJ_KIYKIYLHYKGWKG\
  WKETIETJERJCRJCRJCPIAPJAOIAOJ8LI8LI8LI6KH6KI6II5II\
  5IK5IK5IL5HL5HL4HO4HO5HP4GP4GP4GR3GR4GT4GT3ET3FW3F\
  W3EY3EY3DY2E_2D_3Db2Db2Cb2De2Ce2Cg2Bg1Cg2Ci2Bi2Bl2\
  Al2Al29o29o08q18o19o29o2Al2Al3Bl4Dl4Di5Ei6Fi7Gi8Hg\
  9IgKIgKJeKKeKMeUOeUMbUPbUPbcRacQ_cSYcTWcVUcVSmWQmZ\
  OmcMmhKzmIzrGzvEzzCzzAzz8 }

frm:SliceJulibrot4   {; 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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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