February 14, 2012: Expansion | Feb. 13 | Feb. 15 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image shows
an order-11 minibrot in the 'star' of a tiny period-26 radical on the
northwest shore line of its parent Mandelbrot set.
I rated the image at an 8 because it shows what can be done with the
higher order minibrots when they are inserted into the overall 2-way
symmetry patterns of the Mandelbrot set.
By itself, the formula Z^11+C produces warped minibrots with
surrounding patterns squeezed so close that they tend to all look the
same. But when mixed with Z^2 stuff, as was done in today's
image, the order-11 minibrots develop surrounding patterns that expand
until they are almost as large and varied as the patterns surrounding
the Z^2 minibrots.
The name "Expansion" refers to this pattern xpansion.
The calculation time of 2-3/4 minutes is a little slow, but the FOTD wb
sites are always ready to come to the rescue.
Some sun, some clouds, and a temperature of 45F +7C made the day a
pleasant though uneventful one here at Fractal Central. Light
snow that was forecast failed to appear. The two fractal cats
approved of things, though they would have preferred more sun.
The local humans, FL and I, after a mild debate about liberal and
conservative politics, had a routine uneventful day. The next
FOTD will be posted in 24 hours. Until then, take care, and
the
end could be near, so learn to be satisfied with less.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Expansion
{ ;
time=0:02:45.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MultiExp function=recip passes=1
center-mag=-47.35787920839996/+35.10364552060459/\
4.904754e+008/1/-90/0 params=11/80 float=y
maxiter=1800 inside=0 logmap=192 periodicity=6
colors=000DLcFJdGHfHFgIEhJCjKAkL8mM6nN5nN6oP7oR9oT\
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c5tc6uc6vc6wc6xc7yc7zc7zc7zm8zm8zm8zm8zm9zm9zm9zm9\
zo8zq9zr9zs9zuAzwAzzAzzBz }
frm:MultiExp { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }
END PARAMETER FILE=========================================