August 9, 2012: Zexpe All the Way | Aug. 8 | Aug. 10 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image is
named "Zexpe All The Way". The word 'zexpe' stands for 'Z
with an
exponent of epsilon'. Epsilon is the number 2.718..., which
happens to be the exponent of Z in today's image. The parent
fractal is the Zexpe fractal, which is created by the formula Z^(e)+C
and has been studied by Lee Skinner.
This parent fractal appears much as the cubic Mandelbrot set, but with
the two large north and south buds skewed to the west. The
fractal is most interesting along the negative X-axis, on the west side
of the main two-lobed bay, which just happens to be where today's image
lies.
Since the exponent of Z is a fractional number, the image must contain
discontinuities. In today's image however, they are not too
annoying. The most obvious extends from the minibrot to the
right
edge of the frame.
The sequence of elements surrounding the central minibrot in the image
is 2.718...7.388...20.079,... though with the discontinuities breaking
up the count, it is hard to find an easy-to-count example of this
series.
The rating of a 7 is average, since I consider the image to be of about
average quality. The calculation time of 30 seconds is
unusually
fast, taking most of the effort out of the calculation task.
Typical midsummer weather prevailed today here at Fractal Central, with
hazy sunshine, increased humidity and a temperature of 90F
32C.
These conditions pleased the fractal cats, who were unusually lively
until they ran out of steam in the afternoon. The humans
simply
had another routine day. (Actual facts are sometimes
boring.) The next FOTD is scheduled to be posted in 24 hours,
and
for all I know it might make it.
Until whenever, take care, and on a certain science show Wednesday
evening, the topic was "did we invent God?" Since the show
promotes the scientific view, the answer was obviously going to be
"yes" -- men invented God in an attempt to bring meaning to the
apparently random events of their lives.
Actually, I was rather disappointed. Most of the show
featured
various psychological tests showing how man's brain is wired to believe
in the supernatural, though at the end it did throw a bone of
consolation to the believers.
I doubt that the show changed anyone's beliefs however.
Atheists
already know that 'God' is only a comforting superstition, while
believers, who experience God in their lives every day, already know
that He does exist.
My thoughts were concerned with how strange it is that science, which
has almost reached the status of a religion, can with only minor
hesitation accept facts as counter-intuitive as those of relativity and
the quantum world, yet has such difficulty accepting that a field of
consciousness, which some would call God, might pervade the
universe. Of course, if we accepted this, we would then need
to
build a super-ultra-hyper supercollider to find the 'consciousness
particle'.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Zexpe_All_The_Way { ; time=0:00:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotN center-mag=-0.690401003679\
1892/+0.00013911065595364/2.785348e+011/1/45/0
params=2.71828182845905/0/0/0/0/0 float=y inside=0
maxiter=1500 bailout=6 logmap=85 periodicity=10
colors=00000H00C0070020001G77OGDYNJeVOjaVoearhjwlq\
zpxzs_clC0zD0UY1Np3HwYdzzzxhwsTskPhcNZWKORNVOOaJQh\
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zzszzzzzzzzyzzxzz2zzDzzIzzLzzQzzUuzYuzTuzPuzKuzHuz\
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zNRzKWzI_zG`zVazjkzauzUzzNzzVzzazzjzzqzzxszslzofzk\
_zfTzaNzZGzU9zQ7zW5z`3zf1zk0zp0zv0zz0zz0zx3zr7zlCz\
eGz_KzUOzOPzNQzL8zP0zQ0zL }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================