Crop Circle at
North Down, Wiltshire
reported July 6, 2003

I actually was going to leave it there. But then I decided, just out of curioisty, to check again the positioning of the formation compared to the tumuli. I modified the photo to the best of my ability to get a top view:

The distance from the center of the first tumulus to the center of the next one is marked as 'd1'. The next distance is 1.24 times greater, then it gets 1.15 times greater and finally the distance from the last tumulus to the center of crop circle is 1.24 times greater than previous distance. We notice that the distance keeps getting larger, but not at a constant ratio (if it just was always that 1.24...). We can also see that the tumuli are not 100% accurately positioned over a straigh line. However, it's possible that during the centuries the outer perimeters of the mounds have slightly changed because of the annual cultivation of the field.

What follows might be something with no meaning. Or it might be something that has a meaning and has already been noticed by someone else. It is mainly about the geometrical positioning of the tumuli.

On the left, I've positioned circles so that they are centered over the first tumulus and then overlapping the three other tumuli. The fourth circle touches the edge of the crop circle, while the fifth passes through its centre.

The largest circle doesn't fit with anything on the ground, but it is derived from the previous one using an octagon (8-cornered polygon). The significance of this circle becomes apparent from the following illustrations.

1. Let's take this last circle as the starting point and say that the second largest circle is defined by an enclosed octagon.

 

2. The next circle is defined by an enclosed pentagon.


 

2. The next circle is defined by an enclosed heptagram.


 

4. The next circle is defined by an enclosed octagram.


 

5. And finally, the smallest circle is defined by an enclosed nine-pointed star.

So the "extra" circle can be used to show how the positioning of both the tumuli and the crop circle (and even the size of the formation) are based on pure euclidian geometry!

Can this be a coincidence? If we just talk about the tumuli, what is the chance that they would be accidentally positioned inside a circle, so that their locations are based exactly on a seven-pointed star, an eight-pointed star and a nine-pointed star - in that order (from outside in)?


Well, if that's not a coincidence, the following must be. The horizontal black line shows the direction of the tramlines (they're not visible because the image has been reduced so much in size). The tumuli are located along the blue line. The angle between these is 20 degrees.

Incidentally, this coincides with the angle of one of the star points (thick red line), when the nine-pointed star is placed to an "upright" position compared to the tramlines.

20 degrees of course is one18th part of a full circle (360 degrees), and it is also the angle of each point of the nine-pointed star. However, I guess we are not supposed to believe that the farmer, when making the tramlines, was aware of the geometrical positioning of the tumuli??

Conclusions

Did the creators of the crop circle make the necessary measurements to have this outcome? Where they guided to start their work at the correct spot? Is it all a coincidence? Have I made a mistake in my studies?

Perhaps the crop circle is genuine. If so, then we should accept at least the fact, that genuine crop circles are not always very tidily executed. What ever is the truth, I'm quite satisfied with the "controversial" results of my research on this crop formation. To me it is one more sign of the multidimensional nature of the phenomenon: No matter how apparently a formation seems to be man-made, it does not necessarily lack a hidden geometrical intelligence.

I'm prepared to believe that the pattern was laid down by the hands and feet of mortal human beings, but they unwittingly took part in a co-operation with "higher" intelligent forces. I'm likewise prepared to believe the pattern was created by these higher force alone. Yet it was in co-operation with the landscape features - most obviously those created by people. So either way you look at it, it's a co-operation. Isn't it just marvelous? :)

Martin Keitel, Aug 5, 2003

P.S. Wouldn't it be interesting to check if something really is located on the largest circle - perhaps outsife of the field?