;     Date: Fri, 18 Jan 2013 18:16:19 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 18-01-13 (High-Order Hijinks [Rating 6])
;       Id: <1.5.4.16.20130118181432.38bfdb98@earthlink.net>
; ---------
; 
; FOTD --  January 18, 2013(Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image is another 'almost' Julia set.  The parent 
; Julibrot was created by iterating the expression 
; (-Z)^(1.618034)+C.  The area of the image lies deep in the west 
; branch of the valley enclosing the large bud on the northeast 
; shore line of the main bay of the associated Mandeloid.
; 
; The image very clearly illustrates the hairline spirals that lie 
; in the Julia sets of the areas just inside Mandelbrot valleys.  
; The name "Broken Julia Spirals" refers to the spirals on the top 
; side of the grossly enlarged Mandelbrot valley fragment cutting 
; diagonally across the inside of the open area in the image.
; 
; These spirals are broken because of the limited resolution of 
; the image, which causes many pixels to totally miss the very 
; narrow body of the spirals and print it as an open area.  This 
; breakup can be eliminated by the process of anti-aliasing, which 
; calculates the image at a higher resolution, slightly blurs the 
; result then shrinks it down.  Unfortunately, the process can be 
; quite time consuming.
; 
; The rating of a 7 is FOTD average.  If such images had not been 
; posted so frequently lately, I might have rated the scene as 
; high as an 8.
; 
; The calculation time of 7 minutes is a bit excessive.  To save 
; time, I recommend checking one of the FOTD web sites.
; 
; The finished image is online at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A sample of what anti-aliasing can do for hairline spirals is 
; posted at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The FOTD back images are at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Today brought lots of sun to Fractal Central, but the 
; temperature never rose above 30C -1C.  The fractal cat basked in 
; the sun all afternoon, having the best day so far this winter.  
; The humans passed the very bright day getting organized.
; 
; The next FOTD will not be posted before January 20, since I'm 
; going back to Old Fractal Central tomorrow to finish a few 
; things that need to be done.  Until whenever, take care, and 
; since everyone claims to do what is right, why does so much 
; wrong exist in the world?
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

BrokenJuliaSpirals { ; time=0:07:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 passes=1 periodicity=6
  center-mag=0.10596/0.159292/0.8912656/1/46.75/0
  params=89.8/0/89.8/0/0.3125/0.5702/0/0/1.618034/0
  float=y maxiter=5000 inside=0 logmap=yes
  colors=000B36701812923A33B34C44D55E66F66G77G87H98I\
  98JA9KBALCAMCBNDBOECNFBOECOECPECPEDQEDQEDREEREEREE\
  SEFSEFTEGTEHUEISEJQGKOILMKMKMNIOOGQPFSQEURDWSCXTBY\
  TCbWDgZElaGjcHieIggJfiLdkMcmNaoO`pSYkWWg_UccR_gPWk\
  NSqKNoLOmMOlNOjOPiPPgQPfRPdSQcTQaUQ`VQZVRYWRWXRVYR\
  TZSS_SQ`SPaSNbTMcTKdTJdTLcVNbWPaXR`ZT`_V_`XZbZYc`Y\
  dbXfdWgfVhhUjjUklTlnSnpRorRptQrvPsxOtyOuwNsuNrsNpq\
  NooNnmNlkNkiMigMheMgdMebMd`McZMaXL`VLZTLYRLXPLYNLZ\
  LK_JK`HKaFKaDKbDKbDKbEKcGKdHKeIJeKIeLHeMIeOJePJeRK\
  eSKeTLeVMeWMeXNeZNe_Ob`O``OeUViNamGhq9ou7rw2vyCtqM\
  riVpadnUloHmmMnlQnjUoiYphapfeqeiphoqdmralrZjsWisSg\
  tPfuMduJcvFavC`w9Zz4Xw6Yt7Yr9YoAYlBYjDYgEYdFYbHY_I\
  YYJYZLWZMV_OT_PS`QR`SP`TOaUNaWLbXKbYJb_Hc`GcaFdcDd\
  dCfd9deBbeCaeD_eEZfFXfGWfHUfITfJRgLPgMOgNMgOLhPJhQ\
  IhRGhSGjSFhTFfTFeUFcUEbVE`VEZVEYWEWWDVXDTXDSYDQYDO\
  YCNZCLZCK_CK`CKaCKbCKcCKc }

frm:SliceJulibrot5   {; 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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