The six
“pi” crop pictures of June of July 2011 in southern England: a
lesson from Archimedes?
ix crop
pictures relating to the geometric constant “pi” have appeared
recently in southern England, over several weeks from June 21 to
July 11, 2011 near Stanton St. Bernard or Alton Barnes. My wife and
I were fortunate enough to witness most of those amazing events
first-hand, and enter most of those pictures on the morning after
they were made. Here I will report on our current findings.
All six
crop pictures were laid out within a few kilometres of one another
in the shape of two overlapping triangles:
For the
sake of brevity, I will call each picture (in order of chronological
appearance) the “circle”, “rings”, “pi code”, “scorpions”, “star” or
“two pi”. At first everyone thought that four might be paranormal:
namely the “circle”, “pi code”, “star” and “two pi”, based on
pristine appearance and a precise lay within the fallen crop. Two
others “rings” or “scorpions” were suspected to be human-made. Yet
now in retrospect, it seems more likely that all six belong to the
same paranormal set.
When we
study carefully the precise arrangement of all six crop pictures
across many kilometers of the Wiltshire landscape, we find an
interesting pattern:
Thus,
all six crop pictures seem to have been drawn in locations which
recapitulate a famous geometrical construction used 2300 years ago,
by which Archimedes estimated the value of pi (see
delphiforfun.org or
itech.fgcu.edu).
Now let
us examine each of those six crop pictures in detail. The most
interesting seems to be their “pi code” picture from July 4, 2011
near Honey Street and the Barge Inn:
There we
can see a clever numerical code for pi, where the addition of seven
numbers in two parts yields (3 + 2 + 9 + 5 + 3) / (6 + 1) = 22 / 7 =
3.1428 which is a good approximation to pi = 3.1416. Two symbols for
“6” or “1” have been drawn as mirror images, to suggest that they
lie in the denominator of that fraction rather than in its
numerator. Furthermore in an open circle at the top of the crop
picture, we can see an overlaid image of “two inscribed hexagons”,
which was a geometrical construction that Archimedes used in 300 BC
to estimate pi (see
ualr.edu).
There
may be a second unsolved code in the long set of numbers 3, 2, 9, 5,
3, 6, 1, since their specification to represent pi = 22 / 7 is not
unique. Yet for now, any further code remains unsolved.
Next let
us study the second crop picture of this set, namely the “scorpions”
which shows three hidden codes. Its primary code is astronomical,
and reminds us that our Moon would overlap with Antares and other
bright stars in the constellation Scorpius on July 11, 2011, which
is a “pi date” in our calendar:
Thus the
date of July 11, 2011 may be written also as 11-7-11, and resembles
(11 + 11) / 7 = 22 / 7 = pi (almost).
The
“tails” of those five “scorpions” describe a second and more subtle
code for pi. Scorpion 5 (the last to be laid down) shows 13
“feathers in its tail”, whereas scorpions 1, 2, 3 or 4 counting
anti-clockwise show 14, 16, 16, or 14. When we read the number of
“feathers in each tail”, counting in either direction from scorpion
5, we therefore find 13-14-16 or (1) 3-14-16 which matches pi =
3.1416.
This
crop picture also contains a very subtle third code for pi, that can
only be seen from the ground, in terms of the direction of
flattening between “feathers” in each “tail”. Scorpions 1 and 4 with
14 “feathers” show a pattern of crop flattening which starts as O-OIOI-O
where “O” is “out” while “I” is “in”. By contrast, scorpions 2 and 3
with 16 “feathers” show a slightly different pattern of flattening
which starts as OIOIOI-O. In other words, scorpions 1 and 4 show
“1-4”, whereas scorpions 2 and 3 show “1-6”. Again these subtle
patterns suggest a numerical resemblance to pi = 3.1416.
Janet
Ossebaard and her group did a “night watch” on July 5, 2011 when
this crop picture was being completed, and saw nothing (no people,
no lights, no noise) from the edge of that field between 2400 of
July 4 and 0500 of July 5. There are only five hours of darkness in
southern England in mid-summer from 2300 to 0400, so their
night-watch covered most of the time during which human fakers would
have had to act using rope and boards.
Two
other aspects of the “scorpions” deserve our attention. First, large
sections from that crop picture were completely flattened in Phase I
on July 4, but later “lifted up” in Phase II on July 5, precisely in
regions which symbolize an overlap between our Moon and the
constellation Scorpius:
The
“lifting up” of previously flattened crop over broad but precise
regions is completely unheard of for any human-made crop picture,
and again supports a paranormal origin. Secondly, a small “pyramid”
shape on one side of that crop picture may symbolize the famous
“Pyramid of the Sun” from ancient central America:
Indeed,
that small “pyramid” was drawn with a slight curve, so as to follow
the path of the Sun from northeast to southeast across the local
horizon after sunrise. The same shape was shown in crops twice
before this summer: once at Sanctuary on May 30, 2011 and again at
Hackpen Hill on May 30, 2011 (from another perspective).
Now let
us move on to study a third crop picture from our set of six, namely
the “two pi” formation at Stanton St. Bernard on July 11, 2011:
Its date
of appearance may be written as 11-7-11, and hence resembles the
approximation used for pi at Honey Street one week earlier as (11 +
11) / 7 = 22 / 7 = pi (almost). Within each arm of the “pi” symbol
as drawn there, we can see complex and intricate lays of fallen
crop, which seem to symbolize several different mathematical
functions involving pi.
None of
the other three crop pictures from our set of six seem to show any
obvious codes for pi, but may instead have astronomical
connotations:
The
“star” appeared in two phases at Milk Hill on July 6 or 8, 2011,
directly next to the field in which a prediction for some new “Aztec
star of 2011” was made two years ago (see
time2011b). Those “spiral rings” at Honey Street on June 26,
2011 likewise resemble three other “ringed spiral” crop pictures
this summer at Charlbury, Windmill Hill or Chaddenwick, and seem to
suggest that another example of the Norway spiral from December 9,
2009 may appear soon (see
www.dailymail.co.uk).
To
conclude, we would like to list briefly some numerological or other
curiosities from the “pi” crop pictures of 2011:
Two of
those six pictures (“scorpions” or “two pi”) refer to a date of July
11, 2011, which may also be written as 11-7-11. When we add (11 +
11) / 7 we arrive at 22 / 7. That was the approximation for pi shown
at Honey Street on July 4. The same number 22 / 7 also implies a
date of July 22 in any solar year. Mathematicians on Earth celebrate
a “pi day”, but it is usually 3-14 or March 14 instead of 22-7 or
July 22!
Lastly,
their “two pi” crop picture resembles the logo for a rock band
called “Calavera Conspiracy”, so much so that it can hardly be an
accident. Are the crop artists reading our Internet, and making a
clever joke by finding a contemporary symbol for pi in modern music?
Appendix. A hidden eight-bit ASCII code for “P” or “pi” at Honey
Street on July 4, 2011
We
showed above how a series of seven numbers from Honey Street
give a close approximation to pi as (3 + 2 + 9 + 5 + 3) / (6 +
1) = 22 / 7 = 3.1428, while pi = 3.1416:
Now
we have found a second hidden code for “P” or “pi” in the same
crop picture. It is based on the pattern of empty versus crossed
boxes obtained, when you overlap the original image shown there
in all four possible orientations. Thus 0101-0000 = capital “P”
in eight-bit ASCII code, which is a standard abbreviation for
“pi”.
This
is essentially the same coding scheme which they used to say
“space” in eight-bit ASCII at Allington on June 28, 2011 (see
comments ), or to say “P” as “phi” the golden ratio at
Pewsey on June 21, 2010 (see
comments).
Red
Collie
(Dr. Horace R. Drew, Caltech 1976-81, MRC LMB Cambridge 1982-87,
CSIRO Australia 1987-2010)
P.S. We
would like to thank all of the excellent photographers who
contributed to this work, as well as the farmer who allowed all but
one of those six “pi” crop pictures to remain uncut in his fields.
