"mother of all pictograms"
(photo (c) Steve Alexander)
A Geometry Analysis
|On the left you see a diagram of perhaps the most famous Crop Circle formation of all times. This pictogram appeared on 16th June 1991at Barbury Castle, Wiltshire, England. It's attraction hasn't diminished though many as or more complicated pictograms have appeared since.
I have recreated the shape with the aid of photos and a diagram in Michael Hesemann's book "The Cosmic Connection". The main purpose of my diagram is to show the circular and linear "blueprints" that (in my opinion) lie invisibly behind the final shape and to point out interesting ratios between different parts of the pattern.
|As I present in my hypothesis, I believe that magnetic barriers set the borders and electric plasma balls then lay down the crop in segments defined by these borders. My estimation would be that at least some 10 phases were needed to complete this formation. This could mean a single plasma Brushes "applied" ten times or ten of them applied simultaneously or (more likely) something in between.
The measurement units are computer pixels, thus they are only relative. The radii are measured approximately to the middle of the rings, since the rings have a thickness.The figures display the relations between different parts of the pattern. As you can see, the dominant circle is that with the radius of 51. This appears in all of the three circles in the corners of the triangle and in the middle of the triangle as well.
Of course the corner circles's positions can't be random either: the distance from the edge of the larger central ring to the centers of the outer rings is 51! One thing that is not visible in the diagram is the distance between the central 51 radius circle and the outer circles: 34...
In the top circle part, the typical set of 7 circles is used: 6 circles with the same radius positioned on the ring of a seventh circle, again with the same radius. Here the circles are applied as rings, and segments are painted so that the result is a cartwheel type pattern. In the bottom-right part also 7 circles - or actually 6 rings and one circle - are used; six to make the sectors of the "stepped spiral" and a small one to make the central circle.
I found out that the factor 1.5 seems to be important in this formation as a multiplier: when you multiply the radius of the smallest circle with 1.5, you get the radius of the second smallest circle etc. When you go beyond the visible circles, larger circles matching this pattern can be found from the distances between different perimeters of the pattern - all the way to the circle that defines the longest distance between two extreme points! (sorry, my "mathematical" English is not all that good)