Reconstruction of the2001 Beckhampton (3) formation (known to be man-made) |
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1. |
Draw a (small) circle. | ||||

2. |
Draw the horizontal centerline and extend it to the right. | ||||

3. |
Copy circle 1 to the intersection on the right of circle 1 and the horizontal centerline. | ||||

4. |
Repeat this four more times. | ||||

5. |
Construct five circles concentric to circle 1 passing through the intersections of circles 3 and 4 and the (extended) horizontal centerline. | ||||

6. |
Draw eight rays evenly distributed around the set of circles. | ||||

7. |
Copy the third circle (counted from the smallest, circle 1) eight times to the intersections of itself with the eight rays 6. | ||||

8. |
Copy the largest circle eight times to the intersections of itself with the eight rays 6. | ||||

9. |
Make black, in a checkerboard fashion, the shown areas, corresponding to standing crop. | ||||

10. |
Repeat this another seven times for the other corresponding parts of the set of circles. This finishes the reconstruction of the 2001 Beckhampton (3) formation (known to be man-made). | ||||

The geometry lacks a number of characteristics that make other formations so fascinating. It has an 8-fold symmetry, based on two sets of eight circles, the smaller of which has half the radius of the larger. They all pass through a common center and have – in pairs – the same orientation. This is crossed by a set of six equidistant circles, dividing the smaller radius into three, the larger into six equal parts. The result is "checkerboarded". That's it!
1. The 8-fold geometry is not used internally: no octagons, no diagonals, no inscribed circles or the like. 2. The many intersections, created by the many mutually intersecting circles, are never used. Compare for instance with the 2000 Bringhurst formation. 3. The six circles and both sets of 8-folds are almost unrelated, they do not build upon each other, they don't need each other. It is immaterial who of the three is constructed first. Compare this with the 2001 Browns Lane formation, where every step is build upon the previous one to build a structure that is strong! 4. The geometry is very straightforward, no little tricks, no unexpected effects (the only surprise are the five-pointed curved stars in the periphery). A "cheap" checkerboard pattern without any jokes. Compare this with the 2000 Cherhill Field formation. 5. The division into six equidistant circles is completely arbitrary, unrelated to the 8-fold symmetry. The only formation (I reconstructed) with equidistant circles is that of 2000 Woodborough Hill (3). But what a power is in that formation! 6. Compare this geometry with that of the 2001 South Harting (1) formation. It has a number of features in common, but what a difference! The whole geometry reminds me of a schoolboy, for the first time having access to a computerprogram for drawing circles! | |||||

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Copyright © 2001, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||

Since 1-February-2005 |