Fractal visionaries and enthusiasts:

An antiquing expedition did happen on Saturday, and it left very little time for a proper fractal search.  However, I did manage to find an acceptable image, (rated a 5), in the parent fractal that results when the formula Z^(1.99)+C is iterated just one level up the complex logarithmic hyper-spiral and no function is applied.

On its surface, this parent appears to be a normal everyday Mandelbrot set that has been rotated so that its main spike faces northeast instead of west.  But problems arise on the negative X-axis, which in today's parent cuts through what is normally the southeast shore line of the main bay.  Today's image lies in the mess of discontinuities in this small area.  As would be expected, the image consists mostly of discontinuities.

The name "Out of Order" refers to the fact that it is not normal for the negative X-axis to cut through the southeast shore line of the main bay of the M-set.

The calculation time of 3-1/2 minutes may be cut to 2-1/2 minutes by resetting the passes to 'g', but doing so will cause some of the finer detail to be missed.

Both speed and accuracy may be achieved by viewing the finished image on the current FOTD web site at:

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

The original web site with all the past FOTD images may be accessed at:

      http://www.Nahee.com/FOTD/

Lots of clouds, a strong northwest wind and a steadily falling temperature made Saturday anything but enjoyable here at Fractal Central.  When the temperature dropped below freezing late in the afternoon, the fractal cats took to their shelf over the heat, where they enjoyed a comfortable evening.

FL and I spent most of the day on an antiquing expedition.  With the work just about caught up, the rest of the day was uneventful.  The next FOTD will be posted in 24 hours.  Until then, take care, and be satisfied with less than everything.

Jim Muth
jamth@mindspring.com


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

Out_of_Order       { ; time=0:03:33.75-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-0.58310178265/+0.00224032835/223521/1\
  /-105/0 float=y params=1.99/0/1/0
  logmap=107 maxiter=1750 inside=0
  colors=000EJK9DD466I6mF5fD4`B3V93P62I41C206oUYiQUc\
  NQYKMSGINDFHABB67533VTuSQpQOlNMgLKcJHZGFVEDQBBM98H\
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  ku2gq2dm2ai2Ze2W`1SX1PT1MP1JL1GG0CC09806403uvdqram\
  nZjjXfgUbcS__PWXNTTKPPHLMFIICEEAAB7775332`7nB3lLpl\
  JlhIheGebFaZEZWCVTBSQ9OM8LJ7HG5ED4A9276133FDnA8Y54\
  H`P3YN2WL2TK2RI2OG2MF1JD1HB1EA1C81960750430210x8Ts\
  7Qn6Oi6Me5K`4HW4FS3DN3BI28E1691440264X53U43R42O32L\
  32I21F21C1191060038vk6lc5bW4TO2JGdAN`BJYBFRAMLATEA\
  _8AeNPlacrorxjntfkpbhlYehUbdQ_aItsKmnLfiM_eOT`PMWQ\
  FS865D7EirpU_ZFIHry9nt8jp7gl7ch6_d6X`5TX4PS4MO3IK3\
  EG2BC1781340guSZiMQYGHNB8B55ld4g`4cY3_U3WR2SN2OK2K\
  H1GD1CA086043kVD_N9OF6C73gsoXebMZQBcDdhXZmSTrNNvIH\
  zEBz95z4SzdQzaOzZMzWKzUIzRGzOzzLzzJzzGzzDzzAzz8zz5\
  zz2zzzzzzzzQzzzzzTzzzzz0zzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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