Crop Circles and More

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Squaring Perfection

    I recommend to first read Squaring the Sun and the Moon, before reading this Article.
  Over the years I have analyzed the geometry of dozens and dozens of crop circles. I always start with the existing shape and try to find the workings and mechanics of the crop circle’s geometry. Using this method I came many times across near 100% perfect ‘Squaring the Circle’. Since it is impossible the construct (only using compasses and a straight edge for drawing lines) 100% perfect ‘Squaring the Circle’, I only found near perfect instances. My approach would never generate 100% perfect ‘Squaring the Circle’, while at the same time I was convinced that there were crop circles out there that had perfect ‘Squaring the Circle’ hidden in them.


Then one day I woke up in shock. I was asking the wrong question. I was looking at it the wrong way. I should start with 100% perfect ‘Squaring the Circle’ and see if I could from there construct an existing crop circle. So I did. My first attempt generated a crop circle containing 100% perfect Squaring the Circle, but the formation itself was slightly skewed. See: Squaring the Sun and the Moon. My second attempt was a bulls-eye!

Click on the diagrams to see them enlarged!
 

Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005

The diagram above on the left shows perfect, 100% accurate, Squaring the Circle. The diagram above in the middle shows how 4 circles are added. They have their centres on the red circle and just touch the tips of the blue square. See red arrows. Do notice that the little circles do NOT go through the intersection points of the red circle and the blue square, even if the diagram does not clearly show this. See blue arrows.
The diagram on the right shows how two more squares (with little circles) are added, creating 12 fold geometry.
 
Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005


The diagram above on the left shows how a circle fits in the overlapping squares. In the circle a square is constructed and in the square an other circle. On the last circle, eight little circles (of the same size as the previous little circles) can be placed as shown in the diagram in the middle. The diagram above on the right shows how, with the aid of one of the little circles, a new central circle can be constructed.
 

Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005

Four more of the little circles are constructed on the red circle and a final little circle is constructed in the centre. See diagram above on the left. The red central circle itself is copied four times and placed at the identical places as where we started of with the first four little circles. 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.
 
Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005

The diagram above on the left shows the silhouette of the crop circle that came down on 22 June 2005, on Lurkeley Hill near East Kennett. The first crop circle I found that has 100% perfect 'Squaring the Circle' encoded in it. Truly amazing. See middle diagram above. The diagram above on the right shows how the different elements of the crop circle are connected. But the real shock comes when you study the next diagram.
Squaring the Circle in the crop circle at Lurkley Hill 2005

The diagram above shows the shocking reality of the 2005 Lurkeley Hill crop circle. It contains not one, but three times ‘Squaring the Circle’. One of them, the one in the middle, is 100% perfect. The inner one has an accuracy of 99,3% and the outer one an accuracy of 99,4%. This is unbelievable! Three times ‘squaring the circle’ in one and the same formation, and one of the ‘squaring the circles’ is a hundred percent accurate. Do also notice that the formation came down in the night of 21 – 22 June. Following the Summer Solstice! Read about the immense importance of this date in connection with the crop circle and Silbury Hill. See The last Secret of Silbury Hill
 
Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005 Squaring the Circle in the crop circle at Lurkley Hill 2005
 

It had taken me many years before I found this crop circle. Not because the circle was hard to find. No! It took me years because I was looking at it the wrong way. I was asking the wrong question.
Wow! What a great lesson. All the facts were there (after all the crop circle came already down in 2005), but because I was not asking the correct question, it took me years to discover its treasure!

Let this be a lesson for all of us.
Lets never judge before we know 100% sure we have asked the right questions!

© Bert Janssen, 2010.