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June 8, 2008 Timberlake,
North Carolina - On June 7, 2008, I
received the following email from a retired
astronomical physicist from the University of
Arizona, now living in Timberlake, North Carolina.
He had been studying the June 1, 2008, formation in
barley at Barbury Castle.
From: mreed@reedev.com
Subject: Barbary Castle Pattern = First
ten digits of Pi 3.141592654
Date: June 5, 2008
To: earthfiles@earthfiles.com
Hello Earthfiles,
On looking at the Barbary Castle pattern the
ratio of the angles of the radial jumps is
apparently the first ten (10) digits of the
mathematical constant Pi ( the ratio of the of
circumference of a circle to the diameter)
The dot after the first radial jump is even
positioned correctly as the decimal point.
Take the pattern and draw radial lines from the
centre of the central depression though each
radial jump. Take the smallest angle sector and
call it one (1), then compare the other ten
sectors contained angle to the smallest and pick
the closest single digit for the ratio. They
come out as 3.141592654.
Note that the last ratio digit has even been
rounded up to four (4) since the the value of Pi
out to twelve digits is 3.14159265358 and the
tenth digit would normally be rounded up to four
(4) if the number was only given to ten (10)
places.
The significance of the three decreasing
diameter circles at the end may be trying to
convey the the idea that the number goes on
indefinitely.
I would be interested if there have been any
other interpretations.
Cheers,
Mike Reed
Michael A. Reed, President
Reed Development Associates Inc.
Timberlake, NC
Then he sent me a graphic
analysis of his Pi analysis and I called to ask him
about his process of discovery, the fact that the
ratcheted spiral he measured was also contained in
the 1991 Barbury Castle formation and is in some of
the complex diagrams contained in the 2007 leaked
CARET document from the Palo Alto Laboratory about
back engineering of extraterrestrial technology in
the 1980s.
Interview:
Michael A. Reed,
President, Reed Development Associates, Inc., and
former astronomical physicist, University of
Arizona, now retired in Timberlake, North Carolina:
“I was on your Earthfiles website and saw the
Barbury Castle photograph and saw the reference to
Lucy Pringle as being the one who took the
photograph. So, I clicked on the Lucy Pringle
website and there were more detailed photographs and
more from a vertical shot so you could really see
the pattern. Then, at the website of
Cropcircleconnector.com, there was a clear diagram
of the 2008 Barbury Castle pattern by Andreas
Mueller, a German researcher with
Cropcirclescience.org. (See websites below.)
In looking at the pattern, the
thing that struck me was the little dot right near
the beginning of the pattern right outside the
central circle. I thought, ‘That’s an odd thing to
do. Why? There must be some significance to that
dot.
Center of
June 1, 2008, Barbury Castle barley formation in
which the small circle
at the beginning of the ratcheted spiral is the
decimal point for the Pi number encoded
in this crop formation out to ten decimal places:
3.14159265358.
Aerial image © 2008 by Lucy Pringle.
I noticed that the first segment
was longer that the second segment which was much
shorter than the third segment. It just sort of
popped into my mind, ‘3.14.’ I thought, ‘Wait a
minute! I happen to remember Pi to six digits, which
is 3.14159 because I use that all the time in
calculations.
Then I noticed right where the
next segment was, was a short segment again, which
might be equivalent to 1. But Pi is 3.1415, so the
next segment should be longer than the previous long
segment – and it was. I thought, ‘Whoa! This is
really beginning to sound like it matches to Pi.’
So, I took the photograph
initially and started drawing lines through all the
jumps in radii. Well, they start to line up. There
are three of them right where the first dot is. If
you draw a straight line through that first jump, it
goes right through another jump further out and
another jump on the opposite side.
Then I went back and started
doing straight lines through the other jumps and I
started trying to figure out the lengths of the
other arcs before the jump – kind of proportional to
the values that you would see in the digits of Pi.
Greek symbol
for Pi,
meaning perimeter.
[ Editor’s Note:
Wikipedia - Pi (Greek word
for perimeter) is a mathematical constant, which
represents the ratio of any circle's
circumference to its diameter in Euclidian
geometry, which is the same as the ratio of a
circle's area to the square of its radius. It is
approximately equal to 3.14159, but Pi is an
“irrational number” in which the decimal
expansion never ends and does not repeat. For
instance, carried out 50 decimal places Pi
equals:
3.14159 26535 89793 23846 26433 83279 50288
41971 69399 37510.
While the value of pi has
been computed to more than a trillion digits,
elementary applications, such as calculating the
circumference of a circle, will rarely require
more than a dozen decimal places. For example, a
value truncated to 11 decimal places is accurate
enough to calculate the circumference of the
earth with a precision of a millimeter, and one
truncated to 39 decimal places is sufficient to
compute the circumference of any circle that
fits in the observable universe to a precision
comparable to the size of a hydrogen atom.
Pi is also a “transcendental
number,” which means that no finite sequence of
algebraic operations on powers, roots, sums
could ever produce it.
Circumference = π ×
diameter
Area of the circle = π
× area of the shaded square
10 “Ratchet Jumps” in 2008
Barbury Castle
Barbury
Castle barley crop formation near Wroughton,
Wiltshire, U. K.,
reported June 1, 2008, 300 feet in diameter. Aerial
image © 2008 by
Lucy Pringle.
There are a total of 10 jumps (in
2008 Barbury Castle barley formation). So, I had to
look up the value of Pi up to twelve digits, which
is 3.14159265358. The ratchet jumps and Pi numbers
looked like they began to match, so I sent you a
message at Earthfiles to say I thought there was
something here.
Then I went back and took the
diagram from Andreas Mueller (CropcircleScience.org)
and I drew lines through all of the jumps, all the
way out past the end of the crop pattern. Then I
started looking at the arcs in the jumps. The first
segment equals three of those sections.
Diagram of
2008 Barbury Castle formation © 2008 by
Andreas Mueller.
What happened was that when I
divided the formation up into ten of the jump
sections, you get four lines cutting through the
circle. So, there is only one line missing. So, I
drew a line equi-distant from the other lines. In
other words, I divided the circle up into a total of
10 sectors. Therefore, each sector is 36 degrees
(360 degrees = circle).
Michael
Reed: “This is an update to my previous email
earlier today.
I have drawn the sequence of arcs that indicate the
value of Pi on a diagram prepared
by Andreas Muller. It is attached as a PDF file. It
clearly shows the progression of digits, which
make up the first ten (10) digits of the value of
Pi. I wonder if any of the previous patterns, which
use the same method of communication have been
analyzed using the same approach?”
Spiral ratchet analysis that determines Pi to ten
decimals © 2008 by Michael Reed.
You look at the first sector and
it’s three sectors long.
Then there is a decimal point with that little
circle.
The next segment is one sector long.
Then the next segment is four sectors long.
The next segment is one sector long.
The next segment is 5 sectors long. At that point,
it was amazing
and I just started following them out. That’s when I
made up this diagram to send you.
It’s clear as a bell that the
crop pattern traces out basically as the first 10
digits of Pi, including the decimal point.
The other interesting part was
that if Pi carried out 12 numbers is: 3.141592653.
Three is the tenth digit. If you’re going to publish
that long number version of Pi, normally you would
round it up, taking into account what the next digit
was. The next digit in Pi is 5, so rounding would
normally increase the last digit by one. The Mueller
diagram shows that the 3 has been rounded up in the
ratchet pattern to four, which I thought was very
interesting.
But certainly the ratchet design
as a way of communicating – for example, you could
have taken the circle and divided it up into 50
segments. As a way of communicating numbers, the
ratchet design is a pretty powerful method.
This crop pattern happens to be
very simple and very obvious in what the circle
makers have done. But if that were more tightly
packed and had more equivalent segments in it, you
could pack a lot of information into that.
Comparing Spiral Ratchet in
2008 Barbury Castle to 1991 Barbury Castle
July 17,
1991, Barbury Castle, 300-foot-diameter in wheat.
Spiral ratchet in foreground.
Several people reported seeing mysterious lights
over the field the night before.
Photograph © 1991 by George Wingfield.
DID YOU COMPARE THE 2008 BARBURY
CASTLE TO THE 1991 BARBURY CASTLE THAT ALSO HAS A
RATCHET DESIGN AS ONE OF ITS APPENDAGES OFF THE
TRIANGLE?
Yes, I noticed that the ratchets
in the 1991 Barbury Castle were all 90-degree
angles. The ratchets divided that circle into four
segments and each segment is of equal arc length –
not of equal radius. Very little information in that
design, whereas the current 2008 Barbury Castle
pattern is quite informative in that it has clearly
coded the first 10 digits of Pi.
The interesting thing about this
one (2008 Barbury Castle) is there is NO possibility
of misinterpreting this. This is Pi to 10 digits,
period.
WHY WOULD SOMEBODY DO THIS?
Good question. The fact that the
Pi decimal point is included (in the 2008 Barbury
Castle barley pattern) and there is rounding up to
10 decimal places is to me a little mind boggling!
Three Circles Descending in Size
Barbury
Castle barley crop formation near Wroughton,
Wiltshire, U. K.,
reported June 1, 2008, 300 feet in diameter. Aerial
image © 2008 by
Lucy Pringle.
The three circles in 2008 Barbury
is a very simple relationship, but the whole pattern
seems to have been done to be very clear about a
simple communication mode in getting the point
across that humans have a decimal arithmetic system
and this clearly indicates whoever made the pattern
understands that and those three circles might
simply be a way of telling us they also understand
the concept of multiplying simple numbers.
AS RATIOS IN AREAS OF CIRCLES.
Exactly.
Ratio of Area of 3 circle calculations by
Michael Reed:
Big circle to middle circle = 2:1
Middle Circle to Smaller circle = 3:1
Smaller circle to larger circle = 6:1
Ratchet Pattern
Also in CARET Document
About Back-Engineering Extraterrestrial Technology
At Palo Alto, California Lab in 1980s
“I’ve looked at the CARET
documents and the things are so complex,
they are a little mind boggling!”
- Michael Reed
Above and below: Ratchet
pattern to Palo Alto
CARET
(Commercial Applications Research
for Extraterrestrial Technology) Q4-86
Research Report, Laboratory Linguistic
Analysis Primer, Figure 14.15, Page 123.
THE RATCHET DESIGN HAS COME UP IN
THE CARAT DOCUMENT BY ISAAC, BASED ON HIS WORK AS A
SCIENTIST AT THE PALO ALTO LABORATORY IN WHICH THE
DOCUMENT TITLE IS ABOUT BACK-ENGINEERING
EXTRATERRESTRIAL TECHNOLOGY THAT RELATES TO
INVISIBILITY AND PROJECTING 3-DIMENSIONAL HOLOGRMS,
IS THERE ANYTHING IN THAT CONCEPT THAT ISAAC HAS
DEFINED AS A TECHNOLOGY IN WHICH PATTERNS THEMSELVES
IF DESIGNED PRECISELY CAN BECOME THEIR OWN
SELF-FUNCTIONING SOFTWARE WITHOUT HARDWARE?
Certainly CARET is using the same
90-degree segments as in the 1991 Barbury Castle
formation. The difference in the CARET document has
different thickness in the arcs, where there are
jumps in radius. And the CARET arcs are a different
thickness in 90-degree sectors.
PERHAPS SUGGESTING MORE
MATHEMATICAL INFORMATION EMBEDDED IN THE CARET
DOCUMENT DIAGRAMS?
Certainly, you could code. There
is definitely more information in the varying arc
thicknesses than just jumping radius segments. I’ve
looked at the CARET documents and the things are so
complex, they are a little mind boggling! But
certainly there is the similarity of using jumps in
radius on an increasing diameter spiral to perhaps
communicate information.
COULD CROP FORMATIONS AROUND THE WORLD FOR THE
PAST 20 YEARS BE SOME SORT OF SELF-ACTIVATING
SOFTWARE?
The concept of self-activating
software compared to what we’re used to is a totally
advanced concept. I don’t feel comfortable
commenting because I have no expertise in such a
concept. It’s way beyond where we are at this point.
WHAT INTELLIGENCE WOULD BE TRYING
TO IMPLANT SELF-ACTIVATING SOFTWARE IN THE CEREAL
CROPS OF THIS PLANET AND TO WHAT END?
The whole concept of
self-activating software in a graphic form is
certainly an unusual concept.
BUT YOU ARE PROVOKED BY THE DISCOVERY IN A 2008
BARLEY FORMATION AT BARBURY CASTLE THAT YOU HAVE
FOUND A GRAPHIC WAY OF DEPICTING PI?
Yes. And it’s not a close
approximation. It’s absolute. It’s very, very clear
when you look at the drawing of the sectors that
these are digits. These are individual digits with
very little error possibility, so the number that
comes out are the first ten digits of Pi.
WOULD IT BE FAIR TO SAY THAT SOME
INTELLIGENCE MIGHT BE TRYING TO GIVE US A ROSETTA
STONE FOR A MATHEMATICAL LANGUAGE THAT HAS BEEN
ENCODED IN CROP FORMATIONS OVER THE PAST QUARTER
CENTURY?
If the idea of using the
ratcheted spiral radius changes has in fact had
previous such information in other crop formations
and those have never been interpreted, this 2008
Barbury Castle pattern is so essentially simple that
it’s probably time to go back and ask, ‘Is there
some other way of interpreting previous crop
formations?’ The ratchet design is certainly an
interesting way to communicate information, which is
certainly clear in this 2008 Barbury formation.
THE RATCHET DESIGN WHICH CAME UP
IN BARBURY 1991 AND BARBURY 2008 AND IN THE CARET
DOCUMENT, THEY ARE ALL THE SAME RATCHET DESIGN.
Yes, the CARET document is
identical to the 1991, other than the fact that the
radial arcs in Barbury 1991 are not thicker and
thinner as in the CARET document. The use of smaller
sectors in angle to communicate a base 10 number set
is what is really unique to the current Barbury
Castle pattern.
The complexity of the CARET
document is so high that it’s very hard to relate –
there are so many other symbols relative to the
ratchet spiral that there is an awful lot more
information there. What it means - who knows?
I think I just happen to be the
guy thinking about the number ratios because I
happen to use the value of Pi a lot in my electronic
calculations. So, I have it memorized and as you
look at those sectors, it started to ring a bell and
got me going on the analysis. It’s going to be an
interesting summer for sure!” |
