email Martin Keitel

Geometry of
The Newmarket Hill spinner, Sussex
crop circle reported May 25, 2003

How do I choose which formations to study (I certainly don't have time to look at them all with this intensity)? In this case, I browsed through the images of this summer's formations in chronological order and picked the first one that looked somewhat interesting.

This one I also visited in early June. On the spot I was actually not particularly impressed. It just didn't feel anyhow inspiring. Perhaps this was an additional motivation - to check whether the geometry would turn out "uninspirational" as well. It didn't... The formation is very strongly based on the octagram shape (8-pointed star), as I will point out with the following diagrams. Notice that a new element is always drawn in white, in order to make the demonsration clearer.

At first we two circles (B1 and B2) touching the central circle (A), their sizes defined by an octagram around the central circle.

A large circle (a) can be drawn over the entire setup.

 

Next, we position a second octagram over circle 'a' in the way displayed here. This octagram defines circle 'b' - which also happens to be twice as large in diameter as circle 'A'.

 

Then two copies of the new circle (c1 and c2) are positioned over it (b), so that they run through the centres of 'B1' and 'B2'. They also intersect the large circle and the second octagram at the points marked with 'x'.

 

Two new circles are positioned over the intersections of the octagram and the recently added circles 'c1' and 'c2'. They touch the edges of circle 'B1' and 'B2'.

 

This phase is also done twice, but for clarity I've zoomed into the upper portion.

The two additional circles (D1 and E1) are also placed over 'c2'. Their sizes can be determined in two ways. First way (white): E1 is half of C1. When it's located at a point defined by an extension of the first octagram, D1 fits between.

Second way (purple): When C1 is placed inside B1, D1 fits inside the remaining space. Again, E1 is half of C1.

Finally, copies of E1 (and E2) are placed at the end of the arcs. Their location is the only thing that remains unexplained, since they don't quite reach the large circle.

Based on the aerial photo, these small circles are not placed symmetrically, which makes it even more difficult to define their place in the otherwise complete geometry.

 

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