Crop Circles and More

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Squaring the Sun and the Moon

  So far I have analyzed and reconstructed dozens of crop circles and found many times ‘squaring the circle’ encoded in them. Since it is impossible to construct 100% perfect ‘squaring the circle’ just by using a compasses and a straight edge, what I found in crop circles were very, very accurate approximations of squaring the circle, but never 100% perfect. This fact has never bothered me, until, after many years, I suddenly woke up in shock! I realized that I was perhaps asking the wrong question.


More accurate: Perhaps I had always chosen the wrong starting point. I should not start with a crop circle and try to find the hidden squaring the circle in it, but instead I should start with perfected Squaring the Circle and try to construct an existing crop circle from it. So I tried and I was amazed. Already my very first attempt proved to be successful.

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996

 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996


The diagram above on the left shows perfect, 100% accurate, Squaring the Circle.
The diagram above on the right shows the first element I have added.
 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996

 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996


The diagram above on the left speaks for itself. The diagram above on the right needs some explanation.
I first drew the diagonal of the square. I then took the first elements I have added (see previous diagrams) and placed them on the diagonal as shown in the diagram above on the right.
 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996

 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996


An additional two circles are added, with their centres at the points indicated by the red arrows. See the left diagram above. The diagram above on the right shows two more circles that have been added.
 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996

 

Squaring the Circle in the Sun and Moon crop circle at Liddington Castle 1996


With this we have all the lines and circles we need. It is now just a matter of picking the right lines, circles and surfaces and you will get the diagram on the right above.
It is the silhouette of the crop circle that came down on 2 August 1996 next to Liddington Castle. The formation was for obvious reasons immediately nicknamed: the Sun and Moon.
The heart of the diagram is formed by 100% accurate Squaring the Circle. Wow. Finally. It is a perfect diagram, but … it is not a totally perfect representation of the crop circle and at the same time it is still perfect. Let me explain...

 

It turned out that the crop circle itself had a geometrical flaw. This flaw had no influence on the heart of the formation, the 100% perfect squaring the circle, but the crop circle was nevertheless imperfect. Part of the inside was slightly skewed. Again, this skewing did not effect the 100% accurate squaring the circle. So the formation contained perfect squaring the circle, but at the same time the formation itself was not geometrical perfect.

Wow. I had found a crop circle with perfect squaring the circle encoded in it, but now the crop circle itself was not perfect. Part of the formation was clearly skewed. The part did not influence the perfect squaring the circle I found, but it still bothered me. There had to be a ‘flawless’ crop circle, with perfect squaring the circle as foundation build into it. But where was this crop circle?
 
After a long hunt, I finally found it!
Read on with: Squaring Perfection
 
© Bert Janssen, 2010.