FOTD -- September 07, 2012 (Rating 7.5)

Fractal visionaries and enthusiasts:

Today's image is named "Total Rectangle".  I gave it this name
because every square millimeter of it lies inside a larger
rectangle.  A minor outzoom will reveal the edges and near-
perfect shape of the unseen larger figure.

The image, which is oriented at an angle rotated 2 degrees from
the Julia toward the Oblate direction, has been highly stretched
and skewed to return the elements to recognizable proportions.

The square-spiral shapes filling the frame are quite common
inside Z^(2.003)+C rectangles.  They remind me of something
fractal that I have seen previously, though at the moment I
cannot recall where.

I rated the image at a 7-1/2, mostly for the unusual near-
monochrome coloring, which required almost an hour to work out.

The calculation time of 3-1/2 minutes will simply fly by, at
least for those who live and breathe fractals in the fractal
multiverse in which we exist.

Be free of both calculation worries and excess pontification.
View the finished image on the official FOTD web site at:

      <http://www.crosscanpuzzles.com/Archives.html>

See the image in the crystal clarity of high-definition at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

And check the thousands of back images at:

       <http://www.Nahee.com/FOTD/>

After a noisy thunder-storm and lightning show at midnight last
night, fine warm late summer weather prevailed here at Fractal
Central today, with mostly blue skies, puffy white clouds and a
temperature of 88F 31C.  The fractal cats spent hours gazing at
the outside world that they never get to enjoy.  The humans
spent the day occupied with mostly indoor things.  The next FOTD
will be posted in the proper cosmic time, but until that moment
arrives, take care, and wonder intensely about the things that
are worth being wondered about.  Try to ignore the rest.


Jim Muth
jimmuth@earthlink.net


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

Total_Rectangle    { ; time=0:03:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=slicejulibrot4 passes=1
  center-mag=-0.01026601878632473/+0.001090051691336\
  55/6101232/7.5631/45.6182041810158836/-19.25480371\
  52274709 params=88/0/90/0/-1.7435/0.0001/0.000175/\
  0.073883/2.003/0 float=y maxiter=4800 inside=255
  logmap=438 periodicity=6 mathtolerance=0.05/1
  colors=000wzzwzztzzrzzrwzrwzrwzrtzrtxrturrsrrprrnr\
  pkppirpgrmdrmbrm_rk_rkbrkbrhbrhbrhbrfbrfbrfbrhirfd\
  rfbrf_rfYrfWrfUrfSrdQrdOpdKpdIpdGndFnbDk`BkX9kV8iT\
  6iO4fO2fO0dO0dO0dM0bM0bM0_F0_F0_F0XF0XF0VF0VF0VF0T\
  A0TA0RA0RA0PA0RA0RA0RA0RA0RA0RA0RA0RA0TA0TA0TA0TI0\
  TI0TI0TI0TI0VI0VI0VI0VI0VN0VN0VN0VN0XN0XN0XN0XT0XT\
  0XT0XT0XT0XT0_R0_R0_R0_R0_R0_R0_R0_R2bP2bP3bP3bP4b\
  P4bP6bP6bP8dO8dO9dO9dOBdOBdODdODdOFfPDdOFdOGdMGbMI\
  bMIbKKbKK_KM_IM_IOXIOXHQXHQXHSVFSVFUVFWQDKODKODKOC\
  KMCKMCKMBKMBKKBAK9AK9AI9AI8AI8AI8AG8AG8KG8KG8KE8KE\
  8KE8KC8KC8KC8KC8KA8KA8KA8K88KA8KA8KF8gF8dH8dH8dH8d\
  H8bJ8bJ8bJ9_J9_LB_LC_LCYLDYNFYNFYNHgNIgPIgPKdPMdPM\
  dROdRPbRPbRRbRT_TT_TV_TX_TXYVZYVRiVRiVTgXVgXVgXXdX\
  Zd_Zd_Rd_Tb_TbbVbbX_bX_bZ_d`_d`YdbYddYbhWdfYddYdbY\
  d`_dZ_dX_dVbfbbf`bfZbfZdfXdfddfbgi`giZgiXgiViiTiiR\
  iiRkkPkkOkkMnkKnkInkHnJZQ }

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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