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.

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=========================================