June 24, 2013: Salad Is Served | June 23 | June 25 | 2013 | FOTD Home |
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=======================================
Salad_is_Served { ; time=0:00:45.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
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
maxiter=2400 inside=0 logmap=79 periodicity=6
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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=========================================