Wolfgang Schindler worked with aerial photographs of crop circles. In order to examine the various elements of the formations (circles, rings, pathways, etc.), he used a pencil and a drawer to draw straight lines. To his amazement he noticed that these lines very precisely touched the formation's various elements, thus forming imaginary connections between those elements.
He continued his experiments by drawing pentagrams in and around circles. These pentagrams too touched the formation's elements very precisely. Everything seemed to be connectable by means o tangents, junctures and tangent planes. This implied something very significant: none of the formation's elements had been placed randomly into the field. Their position was no coincidence. For instance, if a loose element (like a tiny circle) had been placed just a little bit to the left, the formation's geometry would have been all wrong. Every element had been positioned very carefully into the field. Everything had been measured out really perfectly, which resulted in perfect geometry.
Well, this may be difficult to follow, but with the aid of a concrete example it will become very clear, I promise. The example will be the Chilcomb Down formation of 1990.
When we draw a circle that has its centre point in the formation's left circle, and that touches the formation's right circle, this newly constructed circle precisely touches two tramlines (tractor tracks), that seemed to have nothing to do with the formation.
In this new, imaginary circle we construct a pentagram.
This pentagram runs straight through the centres of the outer squares and it very precisely touches one of the corners of the inner squares. Furthermore the ring of the formation fits exactly into the pentagram. We can now draw a circle around the formation's right circle.
