[Fractint] FOTD 08-08-08 (Railyard Symphony [8])

7 Aug 2008

      FOTD -- August 08, 2008 (Rating 8)

Fractal visionaries and enthusiasts:

There can be no debate about the correct format of today's date. 
Any way one arranges the numbers, it's correct.  And in honor of 
the occasion, as if it needed honoring, we have a fractal.

Today's fractal combines elements of Z^2+C and Z^2.5+C, and ends 
up looking quite like an oversized version of a Julia set of the 
Z^2.003 Mandeloid.  In fact, today's scene is a Julia set of the 
East Valley of the large minibrot on the main spike of its corr-
esponding Mandeloid.  It closely resembles one of the Julia sets 
of the same area of the Z^2.003 Mandeloid, the Julia set that 
holds the curious rectangle where I occasionally return in 
search of a FOTD.  I have not yet found any rectangles in 
today's Julia set however, but then I have hardly started to 
search.

I named today's image "Railyard Symphony" because the tangle of 
filaments reminds me of the well-known (at least to rail buffs) 
Enola Railyards, about 65 miles down the river from F.C.

I rated the image at an 8, leaving it to the individual 
fractalist to decide whether it's worth this rating.

One thing that can not be exceeded is the brevity of the calcu-
lation time, which at a faster-than-light 19 seconds, actually 
threatens to go backward in time.  Those who would rather avoid 
the risk of becoming a child again, may find the image, already 
calculated, on the FOTD web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

A near perfect day here at Fractal Central was compromised by a 
brief but heavy thunder-shower in the afternoon, which dropped 
the temperature from an already pleasant 81F 27C to an almost 
chilly 68F 20C.  The fractal cats ignored the weather and spent 
most of the day playing hide-and-seek in the nooks and crannies 
of the bookshelves in the long hallway of FC.

My day was pleasant enough, and with any luck at all, tomorrow 
will be the same.  The next FOTD is due to be posted in 24 
hours.  Condidering the regularity of the FOTD postings, I feel 
it will appear on schedule.  Until then, take care, walk lightly 
and carry a big fractal.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Railyard_Symphony  { ; time=0:00:19.01-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=DivideJulibrot
  center-mag=0/0/0.3133196/1/-90/
  params=90/0/90/0/-43.762/0/0/0/2.5/25 float=y
  maxiter=1500 inside=0 periodicity=10
  colors=000U71U81U94UA7UBAVCDWDHXEKYFNUGQWHTYIX_J_a\
  KbbLecMhcMkeNifNhhOgiOfjPelPcmQbnQapR`qR_sSYtSXuTW\
  wTVxUUyUTuTPqTMnTIjTFgTBcT8`T5aV4bX4bZ4c`3cb3dd3df\
  3eh2ej2gm2kp2ps1vv1zy1vv1pp2ej2Xc2OY3JT3EP39M3BK8D\
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  qz1tz5so8skBshEsdIs`LsYOsURrQUrMYrJ`rFcrBfr8ir9fsA\
  dtBauC_uDXuEVuFSuGQuHNuILuJIuKGuLDuMBuN8uN6uNBuNGu\
  NLuNQuNVuN_uNcuLauK_uIYuHWuGUuESuDQuCPuJNuPLuVKu`I\
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  huKduJ_uHWuGSuEOuDJuBFuABu87u73u7Xu7zuIouTeucVunLu\
  gJu`HuWmuVmuOhuHduA`u4Xu5Yu6Yu7Yu8Zu9ZuAZuAZuDXuFW\
  uHUuJTuLSuSUuYWucXuiZu_7u }

frm:DivideJulibrot   {; draws 4-D slices of DivideBrot Julibrots
  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),
  aa=real(p5)-2, bb=imag(p5)+0.00000000000000000001,
  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)/(z^(-aa)+bb)+c
  |z|< 1000000 }

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