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June 24, 2013: Salad Is Served June 23 June 25 2013 FOTD Home
  Rating A-7, M-7

salad is served

Fractal visionaries and enthusiasts: 

The parent fractal of today's image is a Mandelbrot set corrupted in its depths by cubic energies.  The image is located between the two East Valleys of a larger minibrot that lies in an elephant trunk on the south shore line of the single East Valley of the parent Mandelbrot set.

The name "Salad is Served" came about when I was reminded of one of the light feminine salads FL always orders when we eat out.  Of course, since I am not a rabbit, I do not eat leafy weeds.  I order masculine foods heavy in meat and starch such as meat loaf and sweet potatoes.

Today's image rates a slightly above average 7 for both the artistic and mathematical aspects.  I have already explained the art part -- the image looks like a salad.  But the math part is a bit more subtle.  The six strawberry clusters surrounding the cubic minibrot at the center are arranged in three groups of two -- a perfect blending of the quadratic and cubic elements.  And the strawberry rings increase in complexity as they approach the minibrot.

The calculation takes 45 seconds to complete on the average SOTA desktop machine, and far longer if it will run at all on a 'smart phone', 'tablet' or 'I-pad'.  Regardless, the finished image is available for instant viewing on the FOTD web sites.

Typical sultry midsummer weather prevailed here at Fractal Central today with partly cloudy skies, a temperature of 90F 31C, and rumblings of thunder in the area.  Only a few drops of rain fell at FC however.  The fractal cat spent the afternoon sleeping in a laundry basket, while the humans did the real work.

The next FOTD will be posted soon.  Until soon arrives, take care, and sometimes we may fool others quite easily.  It is not always so easy to fool ourselves however.

Jim Muth
jimmuth@earthlink.net


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

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  formulaname=FinDivBrot-2 function=recip
  center-mag=+0.3319162826083197/-0.0407134040528868\
  /1.885573e+011/1/113.75/0 params=3/300/0/0 float=y
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  h_5nX5tZ7p`9maBjcDghEHfFI }

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