Fractal visionaries and enthusiasts: 

As the name implies, today's rectangle is the ultimate, at least of the current string of images if not of quality.  It lies in the Elliptic orientation, which is determined by the real(c),imag(z) axes, and is located in the interior of the original Julia rectangle.  In my opinion however, it *is* the best of the current rectangle lot, well worth the rating of an 8.

To bring the rectangle to recognizable proportions, I stretched and skewed the image about as far as possible.  At this degree of distortion, (the skewing is over 89.9), strange things sometimes start to happen with the program, though so far I have noticed none in today's scene.

The coloring is a bit quirky, but this merely adds to the overall effect.

The calculation time of 1-3/4 minutes is fast enough to keep boredom at bay, but there is still the minor chore of setting up and running the included parameter file.

Near perfect conditions continued today here at Fractal Central, with low humidity and a temperature of 79F 26C.  The only flaw was an increase in clouds.  The fractal cats spent the day looking for trouble they might get into.  Cassie finally found it when she got herself locked in a closet, where she stayed over an hour before she was found and released.  She rarely cries when locked somewhere.  Nicholas' problem is his tendency to eat strange stuff such as plastic, but he was well behaved, at least for today.

The humans had another typical day, agreeing on some things, disagreeing on others.  The next FOTD will be posted in about two days.  It will be something other than a rectangle.  Until then, take care, and why does religion, which preaches goodness, bring about so much evil?

Jim Muth
jimmuth@earthlink.net


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

Ultimate_Rectangle { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=+0.000484087\
  85092349/+0.00218988416650909/8.820301e+010/0.0070\
  22/-70.7667429766036236/89.9210014763847312
  params=90/90/0/0/-1.7435/0/0.000175/0.073883/2.003\
  /0 float=y maxiter=15000 inside=0 logmap=226
  periodicity=6 mathtolerance=0.05/1
  colors=000E9EEADDBDCCDBD9BF8DGAGHDJIDLJGOKJQMNSORU\
  RVWTZYWa__dacgcfmyGUoFMgBFbA7XA0RB2UB4YC6aC8eC9`B7\
  WB6RB5MB4HB3CB27B13B0DL5NVAWdEenJnwNltLqeSihYbkcVn\
  jUnBUsAUwAcuCcvDcwFcxGmyImzJmzLmzMzzOzzPzzRzzSzzUz\
  zVzzXzzYzzZzzZzzZzzZzz_zz_zz_zz_zz_zzRzzIzz9zz0Y`o\
  Z`oZ`oZ`o_`o_`o__o`_n`_n`_na_na_na_nbZnbZncZncZncZ\
  ndZndZndZneYneYneYnfYnfYmfYmgYmgXmhXmhXmhXmiXmiXmi\
  XmjXmjWmjWmkWmkWmkWmlWmlWmmXnlWmlWmkWlkVljVkjVkiUj\
  iUjhUihTigThgThfSgfSgfSgeRfeRfdRedQecQdcQdbPcbPcaP\
  baOb`Oa`Oa_N`_N`_N`ZN_ZM_YMZYMZXLYXLYWLXWKXVKWVKWU\
  JVUJVTJUTIUTIUSITSHTRHSRHSQGRQGRPGQPFQOFPOFPNEONEO\
  MENMDNMDNLDMLDMKCLKCLJCKJBKIBJIBJHAcHAcGAcG9cF9cF9\
  cF8cE8cE8cD7cD7cC7cC6cB6cB6cA5cA5U95U94U84U84U73U8\
  4U84U84U94U95U95U95UA5UA5UA6UA6KB6KB6KB7KB7KC7KC7K\
  C7KD8KD8KD8KD8KE8KE9KE9KE9KF9AFAAFAAFAAGAAGAAGBAHB\
  AHBAHBAHBAICAICAICAICAJDA }

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=========================================