Nov. 18, 2013: Awesome Chaos | Nov. 17 | Nov. 19 | 2013 | FOTD Home |
Fractal
visionaries
and enthusiasts:
The chaos in today's image is awesome. (I think that's the
currently trendy word to describe something that is very
impressive.) The name "Awesome Chaos" is therefore fully
justified.
The image came about when I calculated the expression Z^(2.0075) at a
level 17.2 steps up the complex logarithmic hyperladder, which would
probably prove to be closer to a hyperspiral if we could comprehend
higher dimensions. All this hyper stuff exists because the
complex log function is multi-valued, which means there are an infinity
of fractals that can result from an expression as simple as Z^(2.5).
The parent fractal appears as a Mandelbrot set rotated 180 degrees so
that the main spike points out to the east along the positive
X-axis. Strange things are happening in this area, but in
today's
image we check the East Valley, which lies on the western negative
X-axis and is broadened into a small wedge. Today's scene
lies
near the southern edge of the wedge blade, in an area where the chaos
is near its maximum.
The chaos here is in the form of herringbone arcs and crescents,
several of which appear in today's image. The total chaos is
so
extreme that it actually detracts from the overall artistic effect, and
holds the art rating to a 7. The math rating remains at a
6. Nothing new appears in the fractal math.
The calculation time of 3-1/4 minutes borders on slowness, so why take
a chance. Check the finished image on the web sites.
Lots of sun, a brisk breeze and a temperature of 57F 14C made for a
rather pleasant autumn day here at Fractal Central. The new
fractal cat Jasmine leaped onto the rim of the tub then lost her grip
and slipped in, She spent a couple hours drying
off. The
old fractal cat Nicholas wondered how any cat could be so
clumsy.
The humans watched the action with amusement.
The next FOTD will be posted in a not-too-long period of
time.
Until whenever, take care, and can something considered awesome also be
considered groovy?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Awesome_Chaos { ;
time=0:03:15.00 SF5 at
2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=-0.253095984594/-0.006795518592/8276542\
/1/-57.5/0 params=2.0075/0/17.2/0 float=y
maxiter=2750 inside=0 logmap=280 periodicity=6
colors=000DaVEbSJdQLdNNfJOgErCzmBrjAlfCfaI_YPWVTTS\
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zvRzuPzzNzzMzzJzzIzzGzzWzzSzzRzzPzzNzzMzzJzzIzzGzz\
UzzUzzUzzUzzUzzUzzUzzUzzU }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|<a }
END PARAMETER FILE=========================================