FOTD -- May 30, 2016 (Rating A-8,M-8)
Fractal visionaries and enthusiasts:
After an adequate 'holiday' week-end here at FC, the fractals
are once again coming to life. Today's emerald gem lies on the
negative X-axis of its parent fractal, which resembles an M-set
with a severe infection of a cubic virus. The parent's main bay
is relatively intact, but the larger buds, especially the main
period-2 bud, are becoming distorted. In fact, this bud already
has a kind of island appearing inside it. Today's scene is
located at the east end of an almost totally cubic minibrot
lying on the main stem just beyond the large minibrot.
The minibrot at the center of today's image is perfectly cubic,
but the number sequence of elements surrounding it is messed up,
with alternating doubling and tripling rather than all tripling.
This irregularly increasing number of elements inspired the name
"Cubic Conundrum".
I rated the art and math both at an 8, which makes the image
well worth the couple minutes required to run the parameter
file. As for the art aspect, the pattern around the cubic
minibrot is one of the most striking I have yet seen. The math
is nothing really new, though even after working with today's
formula for several years, I am still not sure why the iterated
expression, (sqr(z)*recip(z^(a)+b)), does exactly what it does.
But regardless, along with the MandAutoCritInZ formula, it
supplies about half my fractal surprises.
The 'holiday' weekend went well enough here at Fractal Central.
Memorial Day itself turned out partly cloudy with a temperature
of 86F 30C and a passing, garden watering type thunder shower in
the afternoon. I passed a good part of the day reading and
pondering, though I found nothing new to ponder too deeply. The
next FOTX will be posted possibly as soon as tomorrow, the first
day of June. Until whenever, take care, and prepare for better
fractal things to come.
Jim Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Cubic_Conundrum { ; time=0:07:53.89 SF5 at 200MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=-1.924224968577973/0/1.62e+011 params=3\
/-6/0/0 float=y maxiter=2000 inside=0 logmap=248
symmetry=xaxis periodicity=6 mathtolerance=0.05/1
colors=00000JizzjzzzzzmzRzmzozzzmzrzzzlznzzzkqjzsh\
ktNjWLhbJgjHeqFdxLfmRhbXjSblHhn7imDjlIkkNljTmiYnhb\
oggqYWsOKtF8zCEz9JzUOzUTzcYzcIzm3zzZzzfvzdrzbmz`hz\
ZczX`zVYzTWxRUwMStHPqCMm8IhBFcECVH9MJ8IH8GF8MD8RB7\
Y97b77i5Ti4ZRKZ8_cLScXKchCcotwHIwFJwEKwCLRiEXmBap8\
fs5kv3ffMbRdZCwXMpVVjTcdSlZTg`UbaVYbWTcFGIGHMHIPHJ\
SIKVJLYJM`KNcKOfJQiJSkJUmJVoIXrIZtI`vIaxjs3en9`jFW\
fKSbQNZVIV`EReDXbDa_CfXCkUCpRFlTHiUKfVMcWO`X0fRKaU\
cYWwUY`cxTTmLIbE8SKCUPFWUIYZL_cOahRcmUerXfcdiQllCt\
nV`hlIcpOWsTPwYHzbAwJ_t0ycbIRdZEfoN_mVUkbOijIgrCeV\
PO7m77m77m67m67m67e57m57f48m48g38h38i28i28j18k18k1\
9i2KiD9k2Am3mo3Aq4ms4Bu5mw5mz6mz6cz7cz7mz8Uz8Uz9Uz\
9UzAUzAczBczBczCczEczDczDczDczDhzDhzDhzChzCmzCmzCm\
zCmzCmzvmzqmzmmzimzdmz`mzXmzTzzOzzKzzGzzGzzFzzFzzF\
zzEzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================
