CROP CIRCLE ELEMENTS:
size, placing and diatonic ratio's.
In the video "Crop Circles - The Research" it is shown that different elements within a crop circle are in size and placing far from random. These elements follow strict geometrical rules. The rules of geometrical constructions. For those who haven't seen this video I will briefly repeat what is being discussed in the documentary.
A few more steps lead to diagram four and finally to diagram five.
What can be learned from the reconstruction of the 1996 Winterbourne Basset formation? First of all, like I envisaged already, we could see that the different elements in the final design are in size and placing all determined by previous steps, determined by strict geometrical rules. Secondly, and this is at least of equal importance, we can see that several constructed elements can no longer be found when we reach the final design. These elements were strictly necessary for the ensuing steps but were then 'rubbed out'. A good example is the large circle that was necessary to determine the placing of the three outer circles. This large circle cannot be found in the final stage of the design! This is something that can be accomplished easily on paper, but is impossible to perform in standing crop. You cannot make downed crop stand again! I also ask you to notice that since the big triangle determines the size of the three outer circles, it is obvious that these three circles have a special ratio to the overall circle. A diatonic ratio. In this case an octave. This is not something special or coincidental. It is an element of the logic of geometry.
The first diagram shows the situation after a few construction steps. The smaller triangle and the larger triangle form once more a diatonic ratio. In this case 16, which is the 5th octave. Let me emphasize again that this is not a coincidence. It is the logical result of the geometrical construction. The next step is very important. Construct a circle with its centre in the left corner of the large triangle and with it's perimeter just touching the side of the small triangle. Now do the reverse! Construct a circle with its centre in the left corner of the small triangle and with it's perimeter just touching the large triangle. The two circles overlap and form a crescent. This crescent is exactly at the same place and of the same size and shape as could be found in the Barbury Castle formation of 1999. Because of the way it is constructed, because of the way it follows those strict geometrical rules, it is logical that the crescent has a diatonic ratio in it. The ratio is 9/4. The note D in the second octave.
Here again we see that necessary elements in its construction, cannot be found back in the final design. The two triangles were absolutely necessary to construct the crescents, but the triangles don't show up in the final design. They disappeared, were rubbed out. You can do that on paper, but not in crop!