FOTD -- July 14, 2016 (Rating A-8,M-9)
Fractal visionaries and enthusiasts:
Today's image is indeed out of order. As can be seen in the X
and Y coordinates, it lies on the west shore line of the
northern branch of Scepter Valley of the classic Mandelbrot Set.
Its exact location is in the center of a minibrot. But the
centers of minibrots are points of infinite iterations, so what
right does today's very non-blank scene have to be located
there?
This is the big mystery, in fact it is the greatest mystery I
have yet discovered in my 25 years or so of fractal exploration.
And what right does today's fractal have to contain an outer
ring of 20 elements and an inner ring of 22? This is certainly
not a 'powers-of-two' series. All I have is questions. I have
no answers.
Do not try to reach a minibrot at the center of today's image.
There is none! The whole scene is already inside a minibrot.
The number of elements continues increasing in steps of two as
we go deeper. There might be something open at the center,
where increasing the maxiter will take us no deeper, but with my
200mhz machine, I am not going to look for it.
The name "Out of Order" refers to the strange series of numbers
of elements around whatever if anything lies at the center of
today's image. The art worth of the image is an 8, while the
math rates a 9. The calculation time of a half-hour is true on
my ancient 200mhz unit. On anything more modern, the image will
finish in a few minutes. Curiously, if the outside is set to
'TDIS' the image will take many times longer to finish.
I still wonder if the unexpected detail that makes up today's
image is a mere artifact of mathematical imprecision, or perhaps
a flaw in the HyperMandelbrot2 formula itself. But whatever,
the images this formula draws can be very unexpected, and in a
week or so I'll probably have another one.
The weather was hot and humid here at Fractal Central today,
with a brief but very heavy shower at noon that dropped 2cm of
rain in 10 minutes but did nothing to cool things down. The
afternoon high reached 93F 34C. FL spent some afternoon time
repairing her garden where an overflowing rain gutter washed out
loose soil. The fractal cats spent most of the day sleeping and
watching for unwanted cats, while I browsed the internet, where
materialists debate idealists over quantum interpretations.
The next FOT-'D' (I have returned to the traditional fot-'D'
name) will appear in a few days more or less. Until that
wonderful time arrives, take care, and I see there is a kind of
undeclared war on the internet between the warriors of reason
who defend the classic Newtonian world view of material reality
and the insurgents who claim that quantum theory has shown that
the objective world of material is an unreal illusion.
I don't know which side is right, maybe both or neither; nor do
I care very much. But the righteous rhetoric is amusing, with
materialistic rationalists vigorously disagreeing with some of
their own scientists who, by following the scientific method,
have come to conclusions that give credence to the philosophy of
idealism.
Actually, the battle could already be settled, since quantum
theory has been preaching metaphysics for 80 or 90 years, and
our hi-tech electronic devices, which have been using quantum
principles for almost as long, are still working as they should.
(In most cases, that is!)
More later . . .
Jim (just an objective observer) Muth
jimmuth(a)earthlink.net
START PARAMETER FILE=======================================
Out_of_Order { ; time=0:31:10.54 SF5 at 200MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=HyperMandelbrot2 passes=1 outside=real
center-mag=-1.250873937262811/+0.02375785984453591\
/7.97e+009/1/-147/0 params=0/0/0/0/0.25/0/1e-100/0
float=y maxiter=3000 inside=0 periodicity=0
colors=000RAFR9DWEL_ITcN_gRgkVngXjcZg``cXb`TdXQfUO\
kUMhQIjNQm`NlXLlUJkQHnNAqS1sY3tW4sV6rT7qS8pRAoPBnO\
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jH`iNchSfgNefJeeFddBdc7dbDfaKg`Kh_KiZKjYKkXKmWKoVK\
qUKsTKtSKuRKvQKwPKxOKyNKz }
frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }
END PARAMETER FILE=========================================
