Fractal visionaries and enthusiasts:  

Today's image is titled "Rectangle Break-up" because that's exactly what it is.  Like the previous image, it shows one of the strange rectangles in the Julia aspect of the Z^(2.003)+C Julibrot in a state of partial disintegration.

The art rates a 6, the math, a 7.  The calculation time of one measly minute will cause no impatience.  And as always, the web sites can eliminate calculation completely.

I'll continue exploring different aspects of the rectangle in the next few FOTD's.  Then we'll move on to new and hopefully greater fractal things.

Near perfect weather prevailed here at Fractal Central today, with a mix of sun and clouds, low humidity, refreshing breezes and a temperature of 77F 25C.  Both the cats and the humans enjoyed the fine day.

The next FOTD will be posted in a day or two.  Until then, take care, and people will never learn to get along together until they are willing to hear and understand the views and problems of the other side.

Jim Muth
jimmuth@earthlink.net


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

Rectangle_Break-Up { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=branchcutgenjul passes=1 float=y
  center-mag=+0.00005839296655972/+0.073886902604897\
  41/267/1/4.25/0 params=2.003/6e-005/-1.7435/0.00024
  maxiter=4200 inside=255 logmap=80 periodicity=6
  colors=000potqlx<2>ncrmapm`n<7>hO`gMZfKY<3>dER<3>`\
  BY_A_ZAaY9cY9d<3>k5Pn4Lq3Ht2D<3>h56f54c63<2>V70T80\
  Q70<3>F40G30H20<3>J00J00K00L00L00M01M02<3>P66P77Q8\
  8<2>RBBRCCQDD<3>PHHPJIo`z<3>sWztVztUz<3>razrczqez<\
  2>pkzpzz<2>ozzzzz<21>zzz<4>zzz000<126>000 }

frm:BranchCutGenJul     { ; Jim Muth
Z=Pixel, C=p2:
Z=log(Z),
Z=exp(real(p1)*(Z+flip(imag(p1))))+C,
|Z|<100 }

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