[Fractint] FOTD 20-02-11 (Out of Order [5])

19 Feb 2011

      FOTD -- February 20, 2011 (Rating 5)

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 discontinui-
ties.

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 unevent-
ful.  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\
  76D4482243tP2lL2eI1ZF1SC1L90E6073NfhIY_DPR9HI489z3\
  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=========================================