Cley Hill, Warminster, Wiltshire, 30 th May 2020.
The Geometry of the 2020 Cley Hill Crop Circle
This was a complex little circle to draw because there is an inherent difference in the two sides of the
formation in the outer standing ring. This lead to a decision having to be made out how it is drawn. Sometimes, an accurate reproduction is possible on paper, if the formation is symmetrical, however deviations from symmetry can be problematic.
I worked on this formation with Peter van den Burg and we came to a compromise that satisfied us both as to
intent and flavour of the circle. In the end this was a personal decision, based on the geometry of the circle as it was in the field and our combined experience drawing the crop circles. You will see my pencil-line drawing in the gallery below, but the underlying geometry is best seen in Peter's graphics also in the gallery.
In my initial thoughts about this circle at the top of this section were that this circle almost certainly
squared the circle and may have a hidden pentagonal proportion - both these intuitions bore fruit. There is a squaring of the circle that occurs when a circle is drawn that tangents the inner perimeters of the four circles on the outer ring and a square drawn that connects the geomantic centres of those four circles. This is nice, because both the square and the circle are proportioned with both intersection and tangents of the same four circles.
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