Fractal visionaries and enthusiasts:

Today's tortured image is another aspect of the little Mandelbrot minibrot that appeared two days ago as the FOTD of October 10.  That image was unmistakably a Mandelbrot-plane scene, but today's image is sliced in the Rectangular direction, which leaves little but the same colors to recognize.

I wanted to do something more with the original image.  My first impulse was to check the same scene in the Julia direction.  The resulting circular hole was not very interesting however.  So I tried the Rectangular direction, and look at what happened.

To begin, the calculation time increased nearly 100 times to 45 minutes, which shows the efficiency of the type=mandel formula of Fractint.  The original 2-lobed basin has been twisted and stretched to a point where it is almost painful to look at.  The central minibrot is stretched into a slit so narrow that it has virtually vanished.

I did tweak the colors a bit, though not enough to give myself extra points.  The name "Z Squared Plus C" implies that the generating formula is the same; only the orientation has been changed.  The rating of a 6 seems about right.

The calculation time of 45 minutes will definitely not pass in a flash.

Monday began well enough here at Fractal Central, with lots of sun and a temperature of 79F 26C, but at 4pm the sky clouded over and a minor thundershower moved in, dropping the temperature to 64F 18C.  The fractal cats took all this in stride, more concerned about food than the weather.

My day was about average.  Most likely tomorrow will be the same.  The next FOTD will be posted in 24 hours.  Until then, take care, and where did we go wrong?

Jim Muth
jamth@mindspring.com


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

Z_Squared_Plus_C   { ; time=0:45:08.14-SF5 on P4-2000
  reset=2004 type=formula formulafile=slices.frm
  formulaname=Rectangular center-mag=+0.000000000001\
  01005/-0.00000000000148829/2.16213e+011/0.04251/\
  -114.506625219024372/-84.326593494906632
  params=-1.779820675627452/3.6884410169988e-011/-1.\
  779820675627452/3.6884410169988e-011 float=y
  maxiter=40000 inside=255 logmap=-9114 periodicity=6
  mathtolerance=0.05/1
  colors=000QVtQUsPTsOSrORrNQqNPqMOpLMpLLoKKoJJoJInI\
  GnIFmHEmGDlGClFAkE9kE8jD7jD6jC5hC5gB5eB5dB5cA4aA4`\
  94Z94Y94X84V83U83T73R73Q63O63N62M52K52J42H42G41F31\
  D20231C31B219218106105104002001000zzwyzwxwwutprqjo\
  pgmodknbim`gl_ekZcjYaiX_hWYgVXeUWcUVbTUaST`RS_QRYP\
  QWOPUNOSMNRLMQLLQLKQLJPLIPLHPLGPKENICKGAIE9GC8EA7D\
  96B85A7496385274153042031020FUHESGDRFDQFCPECODBNDA\
  LCAKB9JB9IA8H98G97F86D76C75B65A5495484363253242131\
  121010KZBIWAHU9GS8FQ8DO7CL6BJ6AH58F47D46A358236224\
  1120x9ut8rq8on7lk7ih6fe6cb5`_5YX4VU4TR4QO3NL3KI2HF\
  2EC1B918605302z6ez5dz5cz5bz5bz5az5`z5`z5_z5Zz5Zz4Y\
  z4Xz4Xz4WzUVzUVzUUzUTzUTzUSzURzURzUQzUPzUPzUOzUNzc\
  NzcMzcLzcLzcKzcJzcIzcIzcHzcGzcGzcFzcEzcEzcDzcCzcCz\
  cBzcAzcAzc9zc8zc8zm7zm6zm6zm5zm4zm4zm3zm2zm2zm1zm0\
  zz8zz7zz7zz7zz7zz7zz7zz6zz6zm6zm6zm6zm6zm6zm5zm5zm\
  5zm5zm5zm5zm4zm4zm4zm4zzz }

frm:Rectangular {; Jim Muth  imag(z),imag(c)
z=flip(real(pixel))+p1,
c=flip(imag(pixel))+p2:
z=sqr(z)+c,
|z| <= 16 }

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