July 1, 2014: Octagonal Activity | June 29 | July 4 | 2014 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's fractal FOTD image lies in an oversized Mandelbrot set
corrupted even near its surface by Z^8 energies. (The real
p(1)
parameter defines the order of the corruption; the imaginary p(1)
parameter defines the intensity of corruption as well as the size of
the parent fractal. The greater the value of the imaginary
parameter, the deeper the corruption is buried and the less its
intensity.)
Today's scene lies in the large minibrot on the main spike of the
parent M-set. This minibrot has already partially morphed
into an
order-8 minibrot, with an interesting mixture of Z^2 and Z^8
elements. Today's scene lies in some Z^8 stuff that is just
appearing in the area of Seahorse Valley of the main spike minibrot.
The art rates a 6. I did give the colors a bit of extra
effort,
but hardly enough to make the image in any way exceptional.
With
a rating of a 7, the math rates a little better. I still find
higher order minibrots with such unexpected surrounding patterns rather
fascinating.
The image is astoundingly fast, calculating in a fireball 20 seconds or
less. And the web sites are always ready to remove the task
of
calculation entirely.
Lots of heat and humidity prevailed here at Fractal Central
today. A mild thunder shower in the afternoon cooled things
down
from 95F 35C to 79F 26C, but also raised the humidity. The
fractal cats went into full stretch-out mode in the coolest places they
could find, while the humans took the day as easy as we have taken
hundreds of others.
The next FOTD will be posted in a day or two or three. Until
whenever, take care, and science is saying things about the 'real'
world that have even the most devout skeptics shaking their heads in
puzzlement. As for me, I find their frantic and often
contrived
damage control efforts quite amusing.
Jim (It don't worry me none!) Muth
jimmuth@earthlink.net
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frm:MultiExp { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
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z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }
END PARAMETER FILE=========================================