Barbury Castle SEE DON FLETCHER'S VIDEO OF THE LUMINOSITIES OVER THIS CROP CIRCLE NOTES FROM THE SPOT What a beautiful peace of flattened crop! A temple of dolphins surrounded by a wall and a river of plants flowing in perfect alignment like water. I visited this formation called "The Ninja crescents" or simply "The Dolphins" one early August afternoon with two friends. We had to look for it quite a while, not knowing the exact location. All of us became very sleepy inside the large formation, in a most pleasant way. So we laid down on the ground to relax (as apparently did some other people based on the aerial photo above). There was a strange repeating sound coming somewhere not far from the crop circle. It was like a bird or a cricket, coming in sequences of 3 or 4 short precisely defined rhythmical thrilling sounds. None of us recognized it as some animal. I tried approaching the sound. I got so close that it felt like coming from among the crop at just about a meter in front of me - and then it stopped. Shortly after, it started coming from a further location ahead of me. As I turned back towards the formation, the sound was again right behind me! I turned and it was gone again. The same repeated as I once again turned away. It was probably an animal, but not likely a bird because I would have expected it to fly away when I was so close. While a beautiful formation seen from above, this one was definitely one of my best experiences inside a crop circle - even considering that at this time I had already visited quite a few of them during the past couple of weeks. GEOMETRY Like so many Crop Circles, also this one is made entirely out of circular elements. While it's very easy to find the circles used to construct it, it wasn't that easy to find the relations between all of them. This was partly because it was difficult to define whether to see the ring and the spaces between the "dolphins" as thick single rings or as double circles. I ended up making basic analysis' with both approaches like I've done with some other formations before. I'm presenting here my finding based on the simpler method, that is with singe rings. I certainly found geometrical relations between the various circles, not necessarily understanding the main logic though. If you have seen my earlier analysis', you've noticed I work on very basic mathematics, which is often enough to understand the proportions of the various elements and their relations to each other. Anyway, a professional mathematician might often find ratios and angles referring to special mathematical constants, ones that I'm don't have in my head. In this crop circle I paid, however, attention to a certain important ratio in geometry, that is the golden mean, numerically 0.618 (or 1.618 inverted). This first diagram shows how the circles outlining the "backs of the dolphins" are centered on the edge of a circle three times smaller in the middle (1). The diameter of the utmost circle (C) is 1.618 times that of circle B, in other words producing the golden mean proportions. (This means that the ratio of B to C is equal to the ratio of C to the sum of both) Now the only way I was able to conclude the circles defining the "stomach of the dolphins" from the previous circles, is presented in this second diagram. The larger circles' are 4 times the size of 'A' (or 4/3 of 'B') and positioned so that circles as big as the 'B' circles fit exactly inside the pattern as shown in the picture. The ring surrounding the "dolphins" (D) is defined by the center points of these larger circles (1). So the only link I found between the largest circle and the rest is the golden mean ratio. This is not quite satisfying, because I have absolutely no idea about its function in the overall structure. Well, of course all this work really only testifies the geometrical logic in the genuine crop circles, not revealing its function... Hopefully someone benefits from this anyhow! If my approach here is correct, a total of 9 circles were needed to create this formation (A, C, D, 3xB, 3xE). - Martin Keitel, 2000