July 20, 2014: It's in the Parent | July 15 | July 21 | 2014 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is named "It's in the Parent", which is an obvious
truism. The name also refers to the parent fractal, which
consists of two large Mandelbrot sets symmetrically situated with
respect to the X-axis and connected by an unusually long and broad
'canal'. Today's scene is located on the western side of this
canal, very near the X-axis.
I chose to investigate the shore line of the canal because I assumed
that this is where the most unusual minibrots would be found.
A
quick check had shown me that the minibrots in the two M-sets hold
mostly standard M-set stuff.
Both the art and math aspects of the image rate a 7 -- above average
but not worth the proverbial cigar.
The calculation time however is shockingly fast, finishing on almost
any machine in under one minute. The only thing more
convenient
would be to find the image already calculated. And by a
stroke of
luck, the finished image may be found on the web sites.
A mix of clouds and sun, and a temperature of 79F 26C, kept today in
the comfort zone here at Fractal Central. The fractal cats
took
it as easy as possible, while the fractal humans spent the afternoon
trying to forget the troubles in progress around the world.
The next FOTD will be posted in the not-too-distant future. I
realize that the FOTD's are not appearing as frequently as in the past,
but this is mostly due to a lack of time to write the discussions, not
a lack of enthusiasm for fractals. So until whenever, take
care,
and the other day I heard a young man say that he runs so many apps on
his phone because when he is not online, his mind starts working and he
starts thinking about his real problems. I guess I'm just a
cranky old-fashioned codger, but I assumed this is why we have
intelligent minds.
Jim Muth
jimmuth@earthlink.net
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frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
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z=k*((a*(z^b))+(d*(z^f)))+c,
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END PARAMETER FILE=========================================