http://www.earthfiles.com/news.php?ID=1713&category=Environment

Be well. David

**Part 1: “Greatest Equation Ever” in Binary Codein Wiltshire Oilseed Rape**

© 2010 by Linda Moulton Howe

*“Y**ou see the windmill and see the circle and they seem connected.And then to see Euler’s equation relating to the circular ideajust fitted in beautifully with it! So, I was mightily impressed with the wholedesign!”* - Richard Andrews, U. K. Web Designer

Far right red circle marks the Wilton Windmill in Wilton, Wiltshire, England,

a few miles southeast of the ancient double stone circles of Avebury (upper left red circle).

Since the late 1980s, Avebury, Silbury Hill and the Vale of Pewsey south of Avebury

have been the focus of most U. K. crop formations .

300-foot-diameter formation in 5-foot-tall oilseed rape near the Wilton Windmill

in Wiltshire, England, first reported around noon on Saturday, May 22, 2010.

Aerial photograph © 2010 by** Lucy Pringle.**

Images and information by: **Cropcircleconnector.com**

** Guildford, Surrey, England ** - Richard Andrews was staring at Lucy Pringle's aerial photograph (above) on his computer screen after midnight on Sunday, May 23, 2010. Richard is a freelance web designer and administrator who was born 46 years ago in Henley-on-Thames in Oxfordshire county about thirty miles west of London. After high school in 1982, Richard first worked for a year on a degree in environmental psychology at the University of Surrey. Then he went to Africa to work on a game reserve. By 1994, he had earned a Diploma in Heritage Interpretation from the University of London's Birkbeck College. He's currently writing a book entitled *The Temple of the Grail*, which he plans to publish in the

near future. Richard is also an administrator for DailyGrail.com owned by Greg Taylor, a website that explores the edges of science and history, including the worldwide phenomenon of crop formations.

So as Richard Andrews stared at the aerial of the May 22, 2010, pattern of twelve evenly divided sections with straight spokes radiating from a central circle marked by arcs going either left or right off the spokes, he thought of negatives and plusses - and binary code.

Interview:

**Richard Andrews, freelance web designer and administrator, Guildford, Surrey, England:** “And I thought, ‘Oh, I would like to have a go at decoding that. So, I sort of tabulated what I saw. I noticed there were 12 spokes and each spoke had like 8 sections of an arc coming off it, either going in a clockwise direction or an anti-clockwise direction. That just kind of screamed out to me 8-bit binary code. Once I made that connection, I recalled the alien face formation from 2002 (Crabwood alien holding disc of binary code) that also had binary encoded ASCII characters to deliver a message. [ See Archive: 081702Earthfiles. ]

On August 15, 2002, the alien head next to disc of binary code

reported in a wheat field at the Vale Farm next to Crabwood copse in the village

of Pitt near Winchester, Hampshire, England. Aerial © 2002 by Lucy Pringle.

Images and information by: Cropcircleconnector.com Archive.

Cropcircleconnector.com in its August 2002 Archive included this binary code analysis of the Crabwood disc by J. Torben Staehr from Sweden.

Torben Staehr: “Below I have highlighted the eleven digit sequence of:

EELIE1366E =01000101 01000101 01001100 01001001 01000101 10101010110 01000101 00101110To interpret a binary number into a decimal number you can use this converter. (You just have to copy and paste.):

http://www.mathsisfun.com/binary-decimal-hexadecimal-converter.html

Binary translation to text =‘There is GOOD out there.We oPpose DECEPTION.COnduit CLOSING.’

Below I have highlighted other anomalies:

"There is GOOD out there.We oPpose DECEPTION.COnduit CLOSING,"=

01010100 01101000 01100101 01110010 01100101 00100000 01101001 01110011 00100000 01000111 01001111 01001111 01000100 00100000 01101111 01110101 01110100 00100000 01110100 01101000 01100101 01110010 01100101 00101110 01010111 01100101 00100000 01101111 01010000 01110000 01101111 01110011 01100101 00100000 01000100 01000101 01000011 01000101 01010000 01010100 01001001 01001111 01001110 00101110 01000011 01001111 01101110 01100100 01110101 01101001 01110100 00100000 01000011 01001100 01001111 01010011 01001001 01001110 01000111 00101100

If you are careful you should yourself compare the whole of this digital code with the picture, -as I have done.

My guess considering the EELIE1366E is that either there is a hidden crypto within the code, or it is a typing mistake, or it is meant to be used as a mantra or a spell.

The other abnormalities, though, could be caused by tampering with the crop circle.

There is no ‘bell sound’ in the end of the message. I have no idea whatsoever why some people say that.

J. Torben Staehr

Sweden”

**Richard Andrews:** “So I went ahead to decode Wilton Windmill into ASCII characters after having transcribed all the ones and zeros. I had to figure out in what order they were in and I decided I would start from the point of orientation toward the Wilton Windmill. So it’s the one immediately clockwise from the avenue that points toward the windmill.

The green arrow points from Wilton Windmill to avenue, or spoke, in formation

that is pointing at the windmill. Follow that spoke to the central circle and there

is a small arc extending left, which would be anti-clockwise or zero. An anti-clockwise

zero starts each of the twelve spokes near the central circle.

Aerial image © 2010 by Lucy Pringle.

I noticed that each arc was either on one side of the spoke or on the other side – never on both sides. And there was never a gap where there was nothing at all. There were always a total of eight arcs per wedge section going either one side or the other. For me that meant left or right, anti-clockwise or clockwise, or zeros and ones in binary code.

IN YOUR ANALYSIS, THE CLOCKWISE WAS A ONE AND THE ANTI-CLOCKWISE WAS A ZERO?

That’s correct. And I moved in a clockwise direction working on each spoke from the inside out. The first digit in each case is to the left, a zero, so that indicated that was kind of a redundant character. I started from each zero and worked outward from there on each spoke. I derived twelve sets of eight zeros and ones by starting from the spoke immediately clockwise from the Wilton Windmill. You do that same thing for each of the 12 spokes. Then you end up with 12 lines of 8-bit binary code, so presumably encoding 12 ASCII characters.

Twelve sets of 8 ones and zeros, or 8-bit binary code.

Each of those 12 sets encodes one letter of the alphabet or other keyboard

character such as an **=** sign, or a **[** bracket symbol. Binary overlay

of Lucy Pringle's aerial image by Richard Andrews.

Online Translator of Binary Code

to ASCII Characters

HOW DO YOU MAKE THAT TRANSLATION BETWEEN THE ZEROS AND ONES AND LETTERS AND OTHER KEYBOARD NOTATIONS?

What I did was go to an online translator. It’s like one of those things where you put in one currency and it will give you the equivalent other currency. You just type in the ones and zeros and it will tell you the character that encodes.

This is the 8-bit binary converter that I used to convert each set of

8 binary digits to an ASCII character.http://www.cs.princeton.edu/courses/archive/fall07/cos109/bc.html

I went through each of those twelve sets of 8 zeros and ones, putting each set of eight into the online computer conversion utility that converts the binary notation into keyboard characters. The result I got out was:

**E ** and then **^** and then opening bracket **(** and then **h** and then **i** and then closing bracket **)** and then **p** and then **i **another closing bracket **)****1** and then the equals sign **=** and then **0.** That was the twelve characters, each made up of the 8 bits, or zeros and ones. In the graphic below, the first zero for each binary number was eliminated for redundancy. and then

**E ^ ( h i ) p i ) 1 = 0**

DID YOU KNOW WHAT THOSE ASCII CHARACTERS SIGNIFIED?

Well, I saw the equal sign and I thought, ‘That’s an equation. That’s quite exciting!’ (laughs) In fact, I was not sure where to start and end the message, but when I saw the equal sign, I thought, ‘The number on the one side of the equal sign is the result of the equation'. So I figured out where the message/equation started and discovered that it started from the point of orientation toward the Wilton Windmill.

And then I put the string of ASCII characters into Google and I found it corresponded closely with something in Google!

What Google actually did – you know how if you spell something wrong, you’ll get a reply from Google that says, ‘Did you mean …?’ And that’s what Google did. It gave me an almost identical equation in which the only difference was that the *h* was missing in Google's.

GOOGLE: Did you mean:

E ^ ( i ) p i ) 1 = 0

Top 2 results shown:

Euler's Identity - Wikipedia, the free encyclopedia

Euler Formula - from Wolfram MathWorld

Apr. 30, 2010 ... an equation connecting the fundamental numbers i, pi, e, 1, and 0 (zero), the fundamental operations + , × , and exponentiation, the most ...

mathworld.wolfram.com › ... › Complex Numbers - Cached - Similar

Results for:E ^ ( h i ) p i ) 1 = 0

THE *h* IN THE WILTON WINDMILL PATTERN MEANS WHAT?

Well, I wasn’t sure at this stage what the * h* meant. But when Google said, ‘Did you mean …’ this other equation quite similar to the one I had decoded, the top result for identifying that equation was Euler’s Identity [ Pronounced OIL-ers ], a mathematical equation.

So at that point, I was thinking: Why the difference? I was a bit confused about that. I'm still not sure why the ** h** is in the crop formation when it's not in Euler's Identity formula. I think it's

probably an error and is meant to be an opening bracket, but I read a comment on Facebook that suggested the

**could refer to Planck's Constant. I thought this was quite funny. Had the designer made a pun on the word ‘plank’ - like a ‘plank’ was metaphorically left in the middle of the equation instead of the oilseed rape formation! (laughs). So, I put that pun idea in flash animation I produced about my binary discovery process to help people understand how I worked it all out.**

*p*See flash animation by Richard Andrews of his binary solution process:

http://logosmythos.net/wilton_windmill_crop_circle_may_2010.html

HAD YOU EVER HEARD ABOUT EULER’S IDENTITY BEFORE THAT WIKIPEDIA PAGE?

No, I had not. The Wikipedia page said this was ‘the most beautiful theorem in mathematics.’ So I thought that was kind of appropriate for a crop circle because they often feature mathematics that are interesting and aesthetically beautiful, so that’s obviously the one to look out for, a beautiful equation!’ (laughs) I just thought, ‘Wow, that’s some interesting math!’ The thing that struck me is that it uses all the basic mathematical operations and fundamental constants all in one equation.

The Greatest Equations Ever

*Physics World* journal conducted a 2004 poll “to find the greatest equations of all time. ...Topping the poll replies were James Maxwell's equations of electromagnetism and the Euler equation, also known s Euler's Identity. ...One of the most frequently mentioned equations was Euler's equation,

Respondents called it ‘the most profound mathematical statement ever written’; ‘uncanny and sublime’; ‘filled with cosmic beauty’; and ‘mind-blowing.’ Another asked: ‘What could be more mystical than an imaginary number interacting with real numbers to produce nothing?’ The equation contains nine basic concepts of mathematics -- once and only once -- in a single expression. These are:**e** (the base of natural logarithms);** i ** the exponent operation;

**π**which is pi, the ratio of the circumference of a circle to its diameter (multiplication; imaginary numbers)

**+ or -**(plus or minus, depending on how you write it);

**=**equals

**0**zero.

__What is the Euler Equation and Who Was Euler? __

Leonhard Euler [ pronounced OIL-er] was born in Basel, Switzerland, on April 15, 1707, and died September 18, 1783, in St. Petersburg, Russia. Euler's mathematical ability attracted the attention of Jean Bernoulli, one of the great mathematicians in Europe at that time. Bernoulli, famous for his Bernoulli equation about the motion of air over wing shapes that give airplanes lift, got the brilliant Swiss mathematician to move to the St. Petersburg Academy of Sciences to be an associate of Bernoulli and his mathematical sons, Daniel and Nicolas. Eventually by 1733, Euler succeeded Daniel Bernoulli to the chair of mathematics in the academy. Leonhard Euler's mathematical works were so prolific that some estimate all of them together would fill 60 good-sized volumes. His subjects were geometry, calculus, mechanics, number theory, solving problems in observational astronomy and useful applications of mathematics in technology and public affairs.

And his Euler's Identity equation:

Engineer Larry Phillips at BrightStarTutors writes: “This feeling that that the Euler identity is beautiful and elegant comes from the fact that it combines in a simple form the five most important numbers in mathematics: **e,** the base of natural logarithms, **i,** the square root of -1, π, **1**, and **0**. Looking at it closer, most people would wonder about the exponent : what does it mean to raise a number to an imaginary power?

“Euler's identity also says there is an intimate connection between the number e and the sines and cosines of trigonometry, even though e was known only from problems that did not involve geometry or triangles. Besides its elegance and strangeness however, it would be hard to overstate the importance of this formula in the mathematics developed since its discovery. It appears everywhere, and a recent book, *Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills* © 2006 by P. J. Nahin, is some 400 pages long and devoted entirely to describing some of the Euler formula’s applications.”

*D**r. Euler's Fabulous Formula: Cures Many Mathematical Ills* © 2006 by P. J. Nahin.

Click for

**Amazon.com.**

**R****ichard Andrews:** “By then, it was 1 AM and my brain was getting tired, but I was quite

impressed. Before I went to sleep, I thought I had to get this out there on the internet. I tapped out messages on Twitter and Facebook that I thought I had solved this crop circle and put a few details down. I also contacted Lucy Pringle by her website and updated my blog on DailyGrail.com [ See websites below], and then went to bed.

WHO IS GRAILSEEKER.COM?

That’s my Twitter name (@grailseeker) and also the name I use on Facebook.

THAT EXPLAINS HOW RED COLLIE, THE SCIENTIST IN AUSTRALIA, AND AN ASTRONOMER IN NORTH CAROLINA, NOW RETIRED, BEGAN TALKING ABOUT THE GRAILSEEKER.COM CRACKING THE CODE. [ See More Information below.]

Right. I haven’t been using my real name online – that is something I have learned from this whole experience - to sort out my online identity!

WHEN YOUR BINARY GRID PENCILLED ON AN ENVELOPE ENDED UP AT EULER'S IDENTITY, WHAT WAS YOUR FIRST REACTION?

I guess I felt elation. I had sort of matched the circlemakers on an intellectual level, even though I don’t understand what Euler’s equation is all about. I had at least gotten that far.

WHAT ABOUT THE IDEA THAT EULER'S IDENTITY HAS TO DO WITH OSCILLATING SINES AND COSINES?

I saw that as relating to the idea of the circle with 12 spokes on it that speaks to me of cycles – the zodiac and so on.

A WINDMILL IS THE EMBODIMENT OF SOMETHING GOING AROUND IN WAVEFORMS.

Sure, I thought if you take every third sector, it looks like a windmill spinning around. That’s a direct visual thing – you see the windmill and see the circle and they seem connected. And then to see Euler’s equation relating to the circular idea just fitted in beautifully with it! So, I was mightily impressed with the whole design!”

Graphic assembly © 2010 by Red Collie, CMM Research.

Saturday, May 22, 2010, 5 PM, inside the 5-foot-tall oilseed rape formation

with Wilton Windmill in background only a few hours after first noon report of discovery

in Wiltshire County, England. Image © 2010 by Andrew Pyrka.

Continued in **Part 2**- Inside the Wilton Windmill oilseed rape formation.

**More Information:**

Red Collie CMM Research Comments

”A second hidden code at Wilton Windmill: 3-2-1-(0) or three years left until the end of 2012.

Since its initial decoding by “Grail Seeker” one week ago (see psychedelicadventure or logosmythos.net), a new crop picture at Wilton Windmill on May 22, 2010 has literally astonished the world (see www.telegraph.co.uk or lucypringle.co.uk).

However, one mathematician from University College in London was quoted as saying: “Looking at the crop circle, its link with Euler’s famous identity seems to make perfect sense. Yet the way in which the formula has been executed is partly incorrect. One of its discrepancies is that part of the formula translates as ‘hi’ rather than ‘i’, which could be somebody’s idea of a joke” (see independent.co.uk). Thus the academic classes on Earth today still do not believe what is right in front of their faces.

Here we will resolve that important issue, by reporting on the detailed nature of a second hidden code within the 96-digit binary ASCII message shown at Wilton Windmill. The possibility of a second code at Wilton Windmill seems perfectly obvious, since there were two extra codes buried within the 1386-digit binary ASCII message which appeared at Crabwood in 2002 (see time2007n or time2007o). Some basic mathematical observations are summarized below:

The primary ASCII code shown at Wilton Windmill contained 96 binary digits, as 12 ASCII characters of 8 binary digits each. And it gave a close approximation to Euler’s Identity from advanced mathematics. Yet it also contained nine anomalous binary digits, if we take a precise difference between what we would expect for Euler’s Identity, and what was actually observed!

Those nine anomalous digits equal 011010001 or 011-010-001 in octal base-eight meaning “3-2-1”. The usual way to read unformatted binary is to take a square root of the total number of digits, then read in groups equal to that square root. For example here we have 9 anomalous digits, so we can read in groups of 3; whereas at Crabwood in 2002 we had 25 anomalous digits, so we could read there in groups of 5.

What might this new hidden code from Wilton Windmill mean? Clearly it would appear to represent a countdown of some kind, since Euler’s general formula resembles a “clock” more than anything else in mathematics. Likewise the four vanes of a nearby windmill would seem to suggest “a clock hand turning”. And when the hands of that clock reach an angle equal to 180 degrees, or pi in radians, then Euler’s general formula goes to zero as for Euler’s Identity:

3-2-1-(0)

After some discussion with my colleagues, a general consensus seems to be that we may be approaching the end of an age in late 2012. In other words, those crop artists seem to be reminding us that there are now only three years left until the Mayan Fifth Sun ends in December of 2012, and a new Sixth Sun begins:

2010 (3) - 2011 (2) – 2012 (1) – 0

CMM Research (with thanks to Marina and Mike) May 29, 2010.”

For more information about crop formations, please see my book, *Mysterious Lights & Crop Circles,* in the Earthfiles Shop.

Also see related Earthfiles reports from 1999 to 2010 in the **Earthfiles Archive - **only a few listed below:

• 10/23/2009 — Part 2: Silbury Hill “Quetzlcoatl Headdress” and Mysterious Tall Blonds and Mysterious Tall Blonds

• 10/05/2009 — Part 2 - 2009 Canadian Crop Formations: Stettler, Alberta and Moose Jaw, Saskatchewan

• 09/26/2009 — Part 1 - 2009 Canadian Crop Formations: Wheat Circles in Stettler, Alberta, Canada

• 08/27/2009 — Part 6: Is Time Travel Past and Future Possible?

• 08/18/2009 — Part 3: Silbury Hill “Quetzlcoatl Headdress” First Filmed At Dawn

• 08/17/2009 — Part 2: Windmill Hill and West Overton After Rains

• 08/12/2009 — Part 1: Windmill Hill Pattern Near Ancient Avebury Came in Rain

• 08/05/2009 — Extraordinary Details in New Silbury Hill Formation Destroyed by Farmer

• 07/31/2009 — Silver Disc Videotaped Near Barbury Castle

• 07/31/2009 — Infrared Video of Light Flashes, Moving Darknesses - and Entity?

• 07/30/2009 — Inside the 12-Armed Ogbourne St. George Wheat Formation

• 07/16/2009 — Part 2: Silbury Hill “Quetzlcoatl Headdress” and Mysterious Tall Blonds

• 07/15/2009 — Part 1: Silbury Hill “Quetzlcoatl Headdress” and Mysterious Tall Blonds

• 07/12/2009 — Mysterious Aerial Lights Mimicking Stars in Texas and Oregon

• 07/11/2009 — Update Podcast: Is Sudden Solar Intensity of July 5 - 7 What U.K. Spring Crop Formations Forecast for Oddly Quiet Sun?

• 07/03/2009 — UK “Nazca Hummingbird” - Astronomical and Mayan Counting

• 05/12/2009 — Part 3: Astronomical Information in U.K. 2009 Crop Formations?

• 05/10/2009 — Part 2: 800-Foot-Long Pattern in U. K. Oilseed Rape - A Sigil Someone Wanted Destroyed?

• 05/09/2009 — Part 1: 800-Foot-Long Pattern in U. K. Oilseed Rape - A Sigil Someone Wanted Destroyed?

• 04/30/2009 — Part 1: First 2009 U. K. Crop Formations Counting Down to 2012?

• 04/30/2009 — Part 2: First 2009 U. K. Crop Formations Counting Down to 2012?

• 05/20/2005 — May 2005 Crop Formation Update in Six Countries

• 06/16/2004 — England: 2004 Crop Formations and 2003 Research

• 05/17/2004 — Updated - Crop Formation Reported in Zabno, Poland

• 05/26/2003 — East Sussex, England Has Third 2003 Crop Formation

• 05/20/2003 — More 2003 Crop Formations in Germany

• 05/02/2003 — First 2003 English Crop Formations

• 04/29/2003 — Comparison Between First 2003 and 2002 U. K. Crop Formations

• 04/26/2003 — First 2003 U.K. Crop Formation Near Petersfield, Hampshire

• 07/13/2002 — More Crop Formations in Holland and Germany

• 06/04/2002 — New 2002 Crop Formations in Wiltshire and Sussex, England

• 05/11/2002 — First 2002 Crop Formation In Wiltshire, England

• 05/04/2002 — Two Crop Formations Near Kassel, Germany

• 06/08/2001 — Another Crop Formation Near Kassel, Germany

• 05/31/2001 — More Crop Formations in England

• 05/21/2001 — Part 2 - New Crop Formations in Holland, Germany and England

• 05/19/2001 — Part 1 - New Crop Formations in Holland, Germany and England

• 03/02/2001 — Mysterious Lights and Crop Circles - A Book Excerpt

• 07/16/2000 — Multiple Crop Formations Same Day in Wiltshire and Hampshire, U. K., July 16, 2000

• 05/30/2000 — Crop Formations In Germany, May 2000

• 05/21/2000 — Crop Formation Update as of May 21, 2000 - Part 1

• 05/21/2000 — Crop Formation Update as of May 21, 2000 - Part 2

• 06/07/1999 — 1999 U.K. Crop Circle Update with Photographer Peter Sorensen

**Websites:**

Physics World Greatest Equations: http://physicsworld.com/cws/article/print/20407

Greatest Formula in Mathematics:

http://brightstartutors.com/blog/2010/01/29/the-greatest-formula-in-mathematics/

Euler's Identity Wikipedia: http://en.wikipedia.org/wiki/Euler's_identity

Flash Animation of Wilton Windmill Binary Solution© 2010 by Richard Andrews:

http://logosmythos.net/wilton_windmill_crop_circle_may_2010.html

DailyGrail.com:

http://dailygrail.com/Essays/2010/5/Planck-found-Eulers-Identity-Crop-Circle

Blog by Richard Andrews at DailyGrail.com:

http://www.dailygrail.com/Essays/2010/5/Planck-found-Eulers-Identity-Crop-Circle

Gary King Wilton Windmill Video at CropcircleReporter: http://cropcirclereporter.wordpress.com/

Andrew Pyrka's CropcircleWisdom: http://www.cropcirclewisdom.com/

“Isaac” and CARET Document: http://isaaccaret.fortunecity.com/

English Crop Circles, Current and Archived**:** http://www.cropcircleconnector.com

Lucy Pringle: http://www.lucypringle.co.uk/

American Crop Circles, ICCRA: http://www.cropcirclenews.com/

Andreas Mueller Crop Circle Science**:** http://www.kornkreise-forschung.de/

Canadian Crop Circles, CCCRN: http://www.cccrn.ca/

Dutch Crop Circles, DCCA: http://www.dcca.nl

http://www.temporarytemples.co.uk/

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