July 5, 2013: Five and One Half | July 4 | July 7 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is a scene in an oversized Mandelbrot set corrupted in
its depths by Z^(5.5) energies. Once again the number of
outer
elements is twice the order number of the inner minibrot.
Also,
the discontinuities are again almost invisible. The most obvious
streaks out from the minibrot toward the northwest, but vanishes before
it interrupts the near-perfect symmetry of the 11 outer elements.
To find today's scene, travel out the main spike of the parent M-set
until you reach the largest minibrot between the set itself and the
main minibrot. Then go to the large minibrot on the west
branch
of the filament extending from the period-3 northern bud of this
main-stem minibrot. This sub-minibrot is well on the way to
becoming an order 5.5 one. Today's scene lies somewhere in
the
area that once was its East Valley.
The name "Five and One-Half" refers to the order of the corruption
infecting the parent M-set.
The art rating of 7 indicates that I consider the art aspect of the
image to be a little better than the math aspect, which is now becoming
a bit stale. Despite the staleness however, I will continue
this
math course until it becomes boring.
The calculation time of 1-5/6 minutes is slow enough to give boredom a
chance to raise its head. The web sites are there to relieve
boredom.
Typical midsummer weather prevailed here at Fractal Central today, as
the temperature reached a high of 91F 33C under a sky filled with
billowing cumulus clouds, and the humidity made things appropriately
uncomfortable. The fractal cat passed the day stretched on
the
bathroom tile floor, while the fractal humans spent the day
working. All in all, the day makes very dull reporting, not
at
all like the days of twelve years ago, when the original fractal cats,
Thomas and Tippy, spent the summer days prowling the area around old
Fractal Central, lurking in the holly thicket, chasing birds, driving
away intruding cats and getting into other assorted mischief.
The next FOTD will be posted when the time is right. Until
whenever, take care, and I have yet to see someone who thinks the world
is real actually prove that it is real.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
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frm:MultiExp { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
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END PARAMETER FILE=========================================