Fractal visionaries and enthusiasts:  

Today's image lies on the main spike of the same parent fractal that held yesterday's FOTD image.  I named it "Three-Cornered Fractal" because at its magnitude of over 2*(10^11) it is of a totally cubic nature.

The maxiter of 2750 is too low to fully resolve the minibrot at the center.  A maxiter of around 3600 would be needed to bring full resolution, but it would also change the coloring, so I let the image keep its too-low maxiter of 2750.

With nothing really spectacular in the image and no new math involved, I could only give it an art rating of an acceptable 6 and a math rating of an average 5.

The calculation time of 2 minutes will cause little impatience.  It's about the same time required to view the image on the web sites.

Today turned out to be too cloudy and chilly for the middle of May here at Fractal Central.  The fractal cats checked the afternoon temperature, and when they found it to be only 61F 16C, decided to ask for food.  The humans took it easy while they continued to wonder why so many trivial events become big un-exciting news.

The next FOTD will be posted in the proper time.  Until then, take care, and I heard on a recent TV show about the Higgs boson that a fractal structure might lie behind the so-called *elementary* particles, such as quarks and electrons, which of course are not *particles* at all.

Jim Muth
jimmuth@earthlink.net


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

3-Cornered_Fractal { ; time=0:02:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip logmap=620
  center-mag=-1.706936322542472/0/2.388209e+011/1/180
  params=3/3/0/0 float=y maxiter=2750 inside=0
  symmetry=xaxis periodicity=6 mathtolerance=0.05/1
  colors=000AAWAAV9AU8AT7AS69R58Q47P36O25N14M03L02J0\
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  3z0Bz0Iz0Qz3Zz8gzDpzIwzLizUWwbIpj5it0bz3jzDrz9ly8i\
  t6en5`i3Xc2UZ0QU0LO0IJ0EE0B90650300000000200605909\
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  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzezzezzezzzzzzzzezzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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