FOTD -- June 02, 2005 (Rating 7)
Fractal visionaries and enthusiasts:
Yes, I know the July 4th holiday is still one month away, but
today's fractal reminds me so much of a fireworks display that I
could not resist naming it "Fourth of July".
The parent fractal is the Z^4.000001+C almost-quartic Mandeloid.
The scene is located in the east valley of the large midget on
the negative real axis. Just as in the Z^2.000001+C almost-
Mandelbrot set, the area resembles an explosion in a railroad
switching yard.
The rating of a 7 seems justified, at least to me. The render
time is short enough to make the task almost a pleasure. But
there are some machines out there that dislike the Fractint
program and its crusty old video modes. Those with such new-
fangled machines may download the completed image from the FOTD
web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
The near-perfect weather conditions here at Fractal Central on
Wednesday delighted the fractal cats, who spent the entire
afternoon lounging in the shade of the holly trees. The trees
have lost a lot of their leaves since last year at this time,
when they were covered with 17-year cicadas who love to deposit
their twig-killing eggs in holly trees, but they still give
enough shade to keep the cats cool on 79F 26C days such as
Wednesday. This morning, the clouds in advance of the next rain
system are moving in, but the rain is expected to hold off until
sunset. It will probably be a good day for the cats.
For me, it will likely be another reasonable day. The next
fractal will appear in 24 hours. Until then, take care, and
search for the reason.
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
Fourth_of_July { ; time=0:02:23.63--SF5 on a P200
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotN passes=1
center-mag=-1.21883450232609400/+0.000001179804919\
48/5.071115e+010/1/152.5/-5.20667307325056727e-006
params=4.000001/0/0/0/0/0 float=y maxiter=15000
inside=0 logmap=81 periodicity=10
colors=000NBKMCKLDKKEKJFKIGKHHKGIKFJKFJLEKMDKNCLOB\
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EZBHa6Kb9LcBLcEMdGMeJNeLN }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
FOTD -- June 01, 2005 (Rating 5)
Fractal visionaries and enthusiasts:
We start June with an enigma of the fractal variety.
The thing at the center of today's image is a puzzle. It shows
all signs of being a hexic object, if that's the proper name for
equations of the 6th degree. But the parent fractal was created
by a combination of Z^3 and Z^5. Its formula contains not a
hint of Z^6. I guess that's how fractals are -- always doing
the unexpected.
Even more unexpected are the much smaller and near-perfect
quadratic, cubic and quintic midgets scattered invisibly through
the scene. I will check further into this situation later
today. When the suspected unexpected is found to exist, can the
unsuspected unexpected be far behind.
All this talk of mysterious things does not make a great fractal
however. Despite its mystery, today's image rates only an
average 5. I named the image "Hexa-Something" because, despite
the numerical confusion, there is something 6-ish about it.
The render time of 2-3/4 minutes is true on the 10-year-old
computer with the balky fan, which I have dedicated to fractals.
On a more modern unit, the image will render in less than a
minute. But regardless of the speed of your computer, if you
can get onto the internet, you can download the completed image
from the FOTD web site at:
<http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
With a high temperature of 77F 25C and full sun, Tuesday turned
out to be one of the all time best days for the fractal cat duo.
They went out before noon and stayed out until after 8pm. As
far as I know, nothing disturbed their peaceful day in the holly
thicket. Today is starting with a few more clouds and a bit
cooler. After yesterday, the cats can't complain.
For me it's work before play. The next FOTD fractal will appear
in 24 hours. Until then, take care, and do we place too little
or too much faith in the scientific method?
Jim Muth
jamth(a)mindspring.com
jimmuth(a)aol.com
START PARAMETER FILE=======================================
Hexa-Something { ; time=0:02:45.16--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-0.73359310668167350/+0.000008397796090\
92/1462787/1/-72.5/4.36410307197432346e-009
params=1/3/-0.2/5/-0.15/0 float=y maxiter=5000
inside=0 logmap=29 periodicity=10
colors=000URzSUzPXzM_zJbzHezKgzMizOkzQmzTozVqzXszZ\
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zkzzhzzfzzYzz`zzczzfzzizzlzznzzmzzmzzlzzlzzmzznzzo\
zzpzzqzzqzzrzzrzzszzszztzztzzuzzuzzuzzrzzozzlzzizz\
gzzdzzazzZzzWzzUzzYzzCzzE }
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=========================================
Just an addendum to this. I tried altering the real(p2) parameter on the
parent fractal of the May 8th FTOD Scene from a Fractal.
http://home.att.net/~Fractals_3/FotD_05-05-08.html
I found if I made minor adjustments in the 10th's place, incrementing by .1
the parent fractal did indeed seem to rotate. That is, while changing shape
slightly but it appears there is a sort of spiral. Might make an
interesting movie with a more interesting parent fractal.
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