Geometry of the
"Joker" crop circle in Sompting, West Sussex
found June 3, 2002

Let's take a more careful look at the last diagram:

The outer circle of the arm is here marked as C2' and the inner as C1'. Note how these circles are located: C2' at the crossing point of the pink heptagram with the outer ring (B2), C1' at the center of the heptagram point (or along a vertical line going through the central circle and the satellite circles).

The satellite circle is located at the crossing point of C1' and C2'! You can see how heptagrams can be used to define the sizes of ALL elements in this shape! Yet the relationship between C2 (copy of C1') and B2 is also bound by the square!

Furthermore, when the C circles are duplicated in the middle (C1 and C2) and B circles (the ring) around the satellite (B1' and B2'), these two pairs of circles overlap perfectly.

As a conclusion it can be stated that here we have again a perfect example of a crop circle where all the elements can be created step by step, beginning from the central circle. It is surprising that here the geometry is so strongly based on the heptagram shape, as it is not at all visible in the final pattern. Well done, who ever made it!

Martin Keitel
June 29, 2002