



On 11 June 2020, only one day after I had finished episode 14, I received an email from a man in Sweden in response to an article I had written about the Piformation back in 2011 (Barbury 2008 Mystery Solved). I had not received a response to this article for years, and now just one day after I finished my episode in which the Piformation is a central element (and nearly a month before it was published), I received this email. I thought this to be a curious coincidence, which made me smile, because my book “the Organizing Principle” has as subtitle “There are No Coincidences”. Just 3 days later, on 14 June 2020, a crop circle appears at Barbury Castle in exactly the same field as where the Piformation had been, and only some 100 metres away from that location. The second curious coincidence in a short time involving the Piformation. 

Photo by 'Crop Circles from Above' 

Since the episode with the Piformation was number 14 and the new formation had appeared on 14 June 2020, which is 12 years after the Piformation, while the new circle was based on 12fold geometry, I felt the urge, because of these numerical coincidences, to have a look at the 2020 crop circle. Episode 14, in which Pi plays a central role, is all about imperfect and perfect Squaring the Circle and my inner voice pointed out that there was likely a connection between the 2020 crop circle and perfect squaring the circle. My curiosity was triggerd. I sat myself to work, and although I expected to come across a correlation of some sort, I was still shocked by what I found. The entire crop circle is based on Squaring the Circle. There are 3 sets of ((squaring the circle based on equal perimeter and circumference) plus (squaring the circle based on equal surface areas)). And an additional set in the centre of the formation. Every element of the crop circle was defined by these 4 (3+1) sets of perfect squaring the circle. The diagrams below show the amazing beauty and elegance of the crop circle that appeared on 14 June 2020 at Barbury Castle, Wiltshire, England. 



The diagram on the left shows perfect ‘squaring the circle’ based on equal perimeter (square) and circumference (circle).
The diagram on the right shows the same with ‘squaring the circle’ based on equal surface areas added to it.
The surface area of the green square is equal to the surface area of the circle.




The diagram on the left shows how the squares have been copied and rotated to the left under an angle of 30 degrees. The diagram on the right shows how the same squares have been copied, but now rotated to the right under an angle of 30 degrees. We have now created 12fold geometry using 3 sets of ((squaring the circle based on equal perimeter and circumference) plus (squaring the circle based on equal surface areas)). 



The diagram on the left shows how an inscribing circle is added. The right diagram shows how a circle is constructed with its centre on the blue square, while its perimeter runs through the intersection points of the green squares (see arrows). So, for the size and position of this circle both ‘squaring the circle’ based on equal perimeter and circumference (blue square) as well as ‘squaring the circle’ based on equal surface areas (green squares) are used. 



The left diagram shows how the circle of the previous diagram can be constructed 12 times, leading to the diagram on the right. 



Next 2 circles are constructed using the green squares ('squaring the circle' based on equal surface areas). 



Another 2 circles are constructed now using the blue squares ('squaring the circle' based on equal perimeter and circumference). 



One set of ((squaring the circle based on equal perimeter and circumference) plus (squaring the circle based on equal surface areas)) is added to the centre, making it a total of 4 sets being 3+1. See left diagram. This finishes the diagram of the 2020 Barbury Castle crop circle. Please, do realize that 'squaring the circle' can be made by for instance using a computer as I have done, but it cannot be constructed just using compass and straightedge. The two photos below show how the diagram fits exactly the crop circle present in the field. Photo by Stonehenge Dronescapes. 



For those who are interested: Carl Gustav Jung saw the importance in the number 4 as being 3+1 (see text above). And also Plato refers to this when he says in ‘Timaeus’: “One, two, three ... but where, my dear Socrates, is the fourth?” The Organizing Principle at work. And yes, there are no coincidences. © Bert Janssen, 2020 

Please join me on my and lets investigate! 