2012/8/3 Jim Muth <jimmuth@earthlink.net>

FOTD -- August 03, 2012 (Rating ?)

Fractal visionaries and enthusiasts:

There were no FOTD's for August 1 or 2. The reason is that
things were too busy here at FC. Today is a different story
however.

Today's image takes us back to the MandNewt series of formulas,
which combine the features of Mandelbrot and Newton's method
fractals.

To try something different, I chose to investigate the
MandNewt07 formula. It's an old formula, probably over 10 years
old, and I have long since forgotten what it was intended to do,
but as today's fractal shows, it is still capable of producing
some interesting images.

The unlikely values of the parameters shows that they were
determined accidentally by the Fractint 'evolver' feature.
Sometimes, especially when the original purpose of the formula
is forgotten, trusting to blind luck to set the parameter values
results in the finest images.

Most of the background of today's image is inside stuff brought
to life by the 'bof60' feature. The name "Dabbling in Fractals"
describes how I spend perhaps too much time. The rating of a
question mark leaves it up to the individual viewer to decide
the image's worth.

The calculation time of 3 minutes borders on slowness, but here
is where the web sites charge to the rescue.

The finished image is posted at:

<http://www.crosscanpuzzles.com/Archives.html>

A high-definition rendering is posted at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The FOTD back images are at:

<http://www.Nahee.com/FOTD/>

Very typical midsummer weather prevailed here at Fractal Central
today, with a mix of sun and clouds, high humidity, and a
temperature of 90F 32C. The fractal cats spent the afternoon
lounging in their cat cube complex, while the humans made it
through the day uneventfully. The next FOTD will probably be
posted in 24 hours, but do not be surprised if is late. Until
whenever, take care, and what ever happened to the ship with a
cargo of yoyos that sailed into the Bermuda Triangle and sank 27
times?

Jim Muth
jimmuth@earthlink.net

START PARAMETER FILE=======================================

DabblingInFractals { ; time=0:03:00.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=mandnewt.frm
formulaname=MandNewt07 passes=1
center-mag=-36.0987/17.4552/0.1432514/1/124.999/0
params=-4.7737/-0.2798/-4.0249/0.5538/1.9384/0.164
float=y maxiter=300 inside=bof60 periodicity=6
colors=000101300903F06L09R0CW1F`3Ie6Li7OlAPnCQpFXr\
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zpzzlzzizzdzzazz_zzVzzSzzPzzLzzIzzFzvLzoQziXzX`zLd\
zu`zzdzzizx`zmSzdLzVCzM4z }

frm:MandNewt07 {; Jim Muth
z=c=(pixel*p1):
a=z^3+(c-p2)*z-c
b=3*z^2+c-1
z=z-p3*a/b
0.000000000000000000000000000001 <= |a| }

END PARAMETER FILE=========================================

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