June 12, 2012: Trey and a Half | June 11 | June 13 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
I
have frequently
found scenes in Mandelbrot sets corrupted in their depths by
higher-order energies. But until today the corruption has
always
been of a whole number.
Today we have a parent fractal with fractional 3.5 corruption in its
depths. In fact, the corruption is not confined to the
depths. It is very obvious even on the surface of the parent,
where it has changed the Mandelbrot shape into the old Pac-Man shape,
which resembles a pie with a slice cut from it. Today's scene
lies in some leftover debris in the large north bud of the Pac-Man
parent.
The minibrot at the center is totally of order 3.5, while the elements
in the surrounding pattern are a mixture of order 3.5 and 2.
The
entire scene lies in an area of anti-bifurcation, though little of it
is apparent in the image.
The rating of a 7.5 includes only a small bonus for the coloring, most
of which was created by the program. The name "Trey and a
Half"
refers to the degree of corruption, which is 3-1/2. The
calculation time of 30 seconds makes the image a real
bargain.
The time will pass in a flash.
Heavy clouds, steady rain and a temperature of 70F 21C spoiled the
entire day here at Fractal Central. The fractal cats kept
occupied exploring the latest cat cube complex, discovering that the
cubes do not work when stacked on top of one another. The
humans
had their fun watching the cats make the discovery. The next
FOTD
will be posted in the very foreseeable future. Until that
glorious time arrives, take care, and it appears the country needs to
be saved. Would the next savior please step forward.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Trey_and_a_Half { ; time=0:00:30.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=-1.7590701344475/+0.0129579945248/\
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5Gd3Dc1Bb05Of5Lg5Ih5Fj5Ck }
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=========================================