**Westwoods 8 aug 2007
Analysis 1**

The formation contains 6 slightly overlapping circles distributed along the red circle.

(Assuming that diagrams abstracted from photos are correct)
a circle of the same size as the 6 outer circles is now drawn in the centre. The
overlapping circles create points a-b and c-d. The lengths ab and cd are
identical. This would apply for *any* size of circle so there is no
surprise.

However, the particular size used in the
formation design means that __uniquely__, a-b is the side of a 12-sided
polygon.

The green circle has no apparent significance, it is simply an analysis line drawn on the diagram linking the intersection points c,

more below...

**Analysis 2**

It can also be seen that is that the underlying geometry is based on regular dodecagons (12
sided polygons) which abut at the sides. e.g. at **ab** and **cd**.

This creates a regular tiled pattern as may be found in Arabic tile patterns. The circles are then drawn on the polygons.

A central polygon can be drawn in as the origin of the pattern..

An inherent feature of the pattern is that all sides are equal, so ab=bc=cd. Another feature is that the centre points of the polygons themselves sit on a larger regular 12 sided polygon.

**Alternatively,** it can be suggested that the
designer simply used the large 12-gon as a setting out for the 6 circles with no
further intentions. The resultant geometry is simply an outcome of this choice.