[Fractint] FOTD 21-12-10 (Test Pattern [6])

21 Dec 2010

      FOTD -- December 21, 2010 (Rating 6)

Fractal visionaries and enthusiasts:

Today's image shows a minibrot of order 1.1.  For some reason I 
continue to search for interesting minibrots down in this range, 
even though I rarely find anything worthwhile.  (Today's image 
shows a rare exception.)

The parent fractal of today's image came about when I calculated 
the formula Z^(1.1)+C at a level 11 turns up the logarithmic 
hyper-spiral with no function applied.  This parent is shaped 
like a cut-off parabola with a few areas of chaos along its 
edges.  Not surprisingly, today's image is found in one of these 
chaotic areas.

I named the image "Test Pattern" because of the flat, highly 
colored, sharp-edged shapes filling it, which might be only a 
test of what might lie deeper in the parent.  The rating of a 
humble 6 indicates that I do not consider it one of the better 
FOTD images.

With a calculation time of a mere one-minute however, the image 
is worth the effort despite its modest achievements.

Calculation may be totally avoided by viewing the finished image 
on the currently active FOTD web site at:

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

The classic FOTD web site at:

<http://www.Nahee.com/FOTD/>

might not be up to date, but it is worth a quick check.

A mix of sun and clouds, with a high temperature of 34F +2C, 
made Monday pretty close to normal here at Fractal Central.  The 
fractal cats spent their time alternating between the shelf over 
the heat and the shelf by the window, which is also pretty close 
to normal.  The rest of the activity at FC was totally routine.

The next FOTD will be posted in 24 hours.  Until then, take 
care, and maybe we're all serfs, laboring on the lands of our 
overlords, the big corporations.

Jim Muth
jamth@mindspring.com

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

Test_Pattern       { ; time=0:01:04.05-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-2.447903993/+2.790388926/4195/1/75/0
  params=1.1/0/11/0 float=y maxiter=10000 inside=0
  logmap=87 periodicity=6
  colors=000C4FB4E93C83A628527415213101_OEOKCBHA9D86\
  A6464232zuTmpQclOUhMKzzAln9Xc8TU6OK5KA4G83C6284142\
  HZ`FVXDSUCPQzz09JK0m06CD49A366133zcyG_zaWlCSfAO`9K\
  V7GO5CI38C146q5gm4ci4`e3Ya3VY3SU2PR2MN2IJ1FF1CB197\
  06303wA5r94m84i73d63_63W52R42N31I31D219104001UZ0PT\
  0KN0FH0AB055pHfjFadDXZBST9NN7JUGQUIPVKOVMMVOLWQKWS\
  JWUIVVLVVOVVRUWTUWWUWZUW`TXcTXfTXiSYkSYnSYqSYsVVgX\
  TW_RKaP8jGNr8`z0zu4zq7zmBziEzdHz`LzXOzTSzOczKczGcz\
  Ccz8czAczCczEczFczHczJczKczMczOczPczQczQmzQmzQmzRm\
  zRmzRmzRmzRmzOmz6mzMmzJmzHmzEmzCmz9mz7mz4mz2mzFmzA\
  mz5mzWmzGmzkmzemz`mzWmzQmzLmzGmzAmz5zzzzzuzzqzzmzz\
  izzezz`zzXzzTzzPzzLzzGzzCzz8zz4zzIzzDzz9zz4zz8zz6z\
  z4zz3zz1zzrzz_zzIzz1zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\
  zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zzqzzRzzWzzOzzGzz8zz\
  MzzIzzEzzBzz7zz3zzTzzPzzMzzJzzGzzCzz9zz6zz3zzJzzCz\
  z6zzMzzKzzJzzHzzGzzFzzDzz }

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