FOTD -- May 01, 2006 (No Rating)
Fractal visionaries and enthusiasts:
Today's fractal is certainly not the best of all time, but it is
not the worst either, and it is here on schedule. I gave it no
name and no rating, since I put little effort into it. Fractals
are like that -- they can be good even without excessive human
help, as today's midget with two sattelites shows.
The parent fractal came about when I subtracted 1001 parts of
Z^(1.299) from 1001 parts of (Z^1.301) and added C to create a
figure resembling a small, slightly distorted Mandelbrot set,
which is starting to split apart on its western fringes. But
unlike the Z^(2.02) Mandeloid, where the two main stems spread
farther apart as the leave the main body of the M-set, the two
tiny main stems in today's parent approach each other and merge
together. Today's image is located near the point where the
two stems merge.
The pattern theme in this area resembles a maze of tracks in a
railroad switching yard designed by an abstract artist. This
does not mean I am putting down abstract art, even though I
prefer realism. But it does mean I prefer realism in my
fractals also, and not the overworked over-layered pseudo-frac-
tals so popular among the trendy set.
With a calculation time of under 6 minutes on my tired machine,
today's image should overwork no computer. But for the benefit
of those with over-qualified units, the pre-rendered GIF image
is available on the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
BTW, I don't quite see the reason for all the fuss about
Fractint being incompatible with the vestigial DOS of Windows
XP. I run Fractint under XP constantly, with all the full-
screen super-VGA VESA modes available up to a resolution of
1280x1024x256. The type=mandel runs 20 times as fast as it
does on my old 200mhz unit.
Mostly good weather prevailed here at Old Fractal Central over
the past four days, giving the fractal cats no cause for
complaint. But when cats in the age group of the fractal duo
are not complaining, they are sleeping. The duo spent most of
the time taking it easy in the holly patch.
In my department, the moving preparations are picking up speed
as the time for the big move draws nearer. Luckily, the non-
fractal work is not unusually heavy, but with all that needs to
be done, even the normal amount of work becomes a challenge. If
all goes well, and why shouldn't it, the next FOTD will appear
in 24 hours. Until then, take care, and watch the mystery of
life grow deeper.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
FOTD_for_01-05-06 { ; time=0:05:44.76--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.46313594241773200/+0.000004468476974\
82/6.464602e+009/1/-37.5/5.42260566401692179e-006
params=1/1.301/-1/1.299/1000/0 float=y maxiter=750
inside=0 logmap=110 periodicity=10
colors=0000500810B30E50H60K85N9AQBFTDKWFPZGUaGZdIc\
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DnzFlzIlzJkzMizOizRhzTfzV }
frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
