[Fractint] FOTD 10-01-13 (Something New [7])

10 Jan 2013

      FOTD -- January 10, 2013 (Rating 7)

Fractal visionaries and enthusiasts:

Today's image lies in the fractal that results when the formula 
Z^(1.5)+C is iterated 379.2424085207679 levels up the complex 
hyperladder with no function applied.  The odd number of levels 
indicates that the value was set at random by Fractint's evolver 
feature.  A very similar image could have been found with a far 
simpler value, though I lacked time to search for it.

Actually, the complex logarithm has an infinity of values, but 
this does not mean that an infinite variety of fractals is 
possible.  The fractals change in a circular manner as the value 
of 'k' in the complex log formula is changed, and soon begin 
repeating.

I named today's image "Something New".  I have never before seen 
features quite like the dark blue ones in today's image.  The 
filaments extending from them resemble those extending from 
everyday Mandelbrot buds.  And the filaments in the image have 
identical mini dark blue mini-features lying along them.

The rating of a 7 is average.  The artistic value is not that 
great, nor is the mathematical interest.  Extra coloring effort 
might have raised the rating a half point or so however.

The calculation takes 2-1/2 minutes to finish.  Significant time 
may be saved by viewing the finished image on one of the web 
sites.

The finished image is posted online at:

      <http://www.crosscanpuzzles.com/Archives.html>

High definition variations are or soon will be online at:

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

Back images may be found at:

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

Near total sun with a temperature of 45F +7C made today 
unusually pleasant for the time of year.  The fractal cat 
enjoyed the sun; the humans enjoyed getting the work finished.

The next FOTD will be posted in a day or two.  Until whenever, 
take care, and the surest sign of a dysfunctional group is when 
its members begin fighting among themselves instead of working 
together to solve their common problems.

Jim Muth
jimmuth@earthlink.net

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

Something_New      { ; time=0:02:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident inside=0
  center-mag=+1.52637522907494/+0.5716577695720915/\
  1.263153e+009/1/-90/0 params=1.85/0/379.2424085207\
  679/0 float=y maxiter=3600 logmap=381 periodicity=6
  colors=000E7SF8TG9UHAVIBWJCXKDYLEZMF_NG`OHaPIbQJcR\
  KdSMeVOeZQeaSfeVfiXflZgp`gvYbt`esbgrejpglojopkrolq\
  nlqmlqllqklqklqjlqilqhmqgmqgmqfmqemqdmqcmqclwcmqcm\
  kcnecn`cnVcoPcoJfrGdpFcoEanD`mCZlBYjAWi9Vh8Tg7Vf4S\
  f6Re5Rd5Rc5Rb5Qa5Q`5Q`5Q_5QZ5PY5PX5PW5PV5Ya2PV5GO8\
  WBG7HABJBFKCJLCNMDQNDUOEYPEaQFdRFhSGlTGpUHxJLuPJsV\
  Hq`GofErlDvrBzz8vwAruBnsCkqEloFmlGnjHnhJofKpdLpbMo\
  _IkZHhYGeXFbWF_VEXUDUTDRSCORBLQBIPAFO9CN9AQ89T78V6\
  7Y56_45b34d23g12i06h6AgCDgIHfOKeTOeZRddVcjYcoV`kTY\
  gRVcPT`NQXLNTJLQGIMEFICCEAAB877643420GWBES9CP8BM79\
  J68G56C4493362131iBHeAFb9U_8UW7UT7UQ6UN5UJ4UG3UD3U\
  92K61K30KKTKSEKFNKCJKAFc7Bc57c23cGMm8BmJYmHVzGTzFR\
  zEPzDNzBLzAJz9Hz8Ez7Cz5Az48z36z24z12zIYzGUzEQzCMzA\
  Iz8Fz6Bz47z23zKKzq`zlXzfTzaQzWMzRIzLEzGBzA7z53z1zz\
  0qz0hz0_z0Rz0Iz09zGazEZzDWzCTzBQz9Nz8Kz7Hz6Ez4Bz38\
  z25z12zVrzRlzOgzLazIXzFRz }

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