FACTS & THEORIES

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The geometrical perfection of the crop circles was approached and studied in a totally different way by Dutch crop circle researcher Bert Janssen. In 1997 he decided to try and construct crop circles on a piece of paper, starting form scratch and only using a drawer and a pair of compasses. Up till now, other geometrists had only examined the external geometry of crop formations, using aerial photographs and adding lines and pentagrams in order to see what they could tell us about the formations. Bert Janssen however focused on the internal geometry of crop circles. He examined which geometrical steps were needed in order to reconstruct a certain formation starting with nothing at all. In other words, he studied the internal, hidden geometry. And he discovered some bizarre things...

First of all, each and every one of the formations he examined turned out to be built around the same basic figure.


This pattern turned out to be the heart of each formation, so to speak. However, when you look at the formations you cannot find this basic pattern; it's hidden.

I will give you an example of an analysis carried out by Bert: the Winterbourne Bassett formation of 1997:


By following several geometrical steps, the Winterbourne Bassett formation can be constructed by working with the basic pattern. Let's construct an equilateral triangle in the basic pattern on the spots where Bert put the arrows.


Now we can construct this circle:


Let's now draw a circle that fits precisely into the equilateral triangle. This circle is important, because we'll need it to finish the rest of the construction. However, as we will see later on, this crucial circle will not be visible anymore in the end result...