FOTD -- July 14, 2016

14 Jul 2016

      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@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=========================================

Jim Muth

Mike Frazier

Mike Frazier

Mike Frazier

Ram Peloquin

Harold Lane

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participants (4)