Reconstruction Silbury Hill (2) 2000

Reconstruction of the
2000 Silbury Hill (2) formation

Start with drawing a (large) circle. This is the outer circle of the formation.

Draw four centerlines at mutual angles of 45°.

From the ends of the centerlines, draw two squares, one horizontal, one diagonal.

Draw the inscribed circle of the squares. This forms the second circle of the formation.

Draw diagonals alternating from one square to the other, such that an eight-pointed star appears with sharp points. This star encloses another eight-pointed star with angles of 90°, consisting of two (smaller) squares.

Draw the circumscribed circle of this last eight-pointed star (crossing the corner points of the smaller squares). This will form the third circle of the formation.

6a.

It looks as if the fourth circle will be the circumscribed circle of the inner octagon (eight-fold polygon), crossing its corner points. Accurate measurement in the original image however reveals that this circle is too small. We have to look for a different one.

To this end, go back to step 3, and draw the circumscribed circle of the (larger) octagon enclosed by the two squares.

Construct the outer set of squares circumscribing this circle in turn.

Repeat step 5 (drawing an eight-pointed star), this time for the new set of squares.

10.

The fourth circle is constructed using crosspoints of both eight-pointed stars (from steps 5 and 9), as shown.

11.

In addition to the centerlines introduced in step 2, draw also all centerlines exactly in between. These lines cross the corner points of the right-angled star mentioned in step 5.

12.

A quite intriguing pattern is drawn now, alternating between centerlines and the inner two circles, as shown. This forms the basis for the inner star pattern of the formation.

12a.

This construction resembles very much the construction of the inner star pattern of the 1999 Roundway Hill formation (figure 9), also alternating between the corner points of (in this case) heptagons of different sizes.

13.

Choosing the right trajectory through the pattern of step 12 yields the inner star pattern.

14.

The eight-pointed star, drawn in step 9, gives a clue to the width of the smallest ring. The outer border circle of this ring circumscribes the inner octagon enclosed by the mentioned star.

15.

To make the other rings the same width, draw a small circle with a radius equal to the width of the ring, ...

16.

... distribute the small circle to the other rings ...

17.

... and draw circles that touch the small circles, forming the inner borders of the rings.

18.

This concludes the reconstruction of the 2000 Silbury Hill (2) formation.

19.

courtesy The Crop Circle Connector
photo by: Steve Alexander

The final result fits neatly.

Since 1-February-2005