Fractal visionaries and enthusiasts: 

Today's image combines Z^3 with 0.333 parts of Z^5 before adding straight C on each iteration.  This expression produces a parent fractal that begins as the main bay of a Mandelbrot set that has been rotated 90 degrees so that its normally west end faces north.  I say it begins as an M-set because only the main bay is close to appearing normal.

This main bay, at the southern extremity of the parent, is reasonably normal, but starting with the main period-2 bud, the fractal loses its M-set characteristics and an ever larger series of bays takes over, becoming ever stranger the farther north we go.  Today's scene lies at the entrance to a minor cove on the northeast shore line of the farthest north bay, which is the largest and strangest of all.

The image is most notable for its coloring, which is almost totally of my own design and earns me, (at least IMO), a bonus of 1.5 points, raising the total rating to a quite honorable 8.5  The math however is a straightforward combination of two simple exponents of Z, which holds its rating to an average 5.

The name "Anti-Credulity" is a synonym for skepticism.  It is what I would have felt if someone had told me of fractals in the 1960's, when I was very much alive, cranky and complaining about the world's situation.  And now that I'm a septuagenarian, with all the implied benefits, I have become even crankier.

Fortunately, the calculation time of only 1-1/4 minutes will keep my grouchiness from spreading, and if a bit of it does leak out, the web sites will make quick work of it.

Mostly cloudy, blustery but not too chilly conditions prevailed here at Fractal Central most all day, with a temperature of 52F 11C.  The fractal cats had an active day, chasing each other up and down the hallway until Nico grew bored and told Jasmine to slow down.  The humans, meanwhile, had an average day.

The next FOTD will be posted in 24 hours.  Until then, take care, and the most dependable sign of the truth of an offensive opinion is when it becomes politically incorrect to speak it in public.

Jim Muth
jimmuth@earthlink.net


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

Anti-Credulity     { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=t
  center-mag=+0.4507420885190281/+0.3803351141657886/\
  1.52e+008/1/-15/0 params=1/3/0.333/5/0/0/0/0 float=y
  maxiter=1500 inside=0 logmap=78 periodicity=6
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  7Ez6Dz5Bz49z47z35z23z11z0 }

frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================