1. Draw a circle. Draw the horizontal and vertical centerlines.

2. Create the inscribed hexagram (regular 6-pointed star) of circle 1 by constructing two inscribed equilateral triangles, one pointing up, one pointing down.

3. Construct the circumscribed circle of the hexagon (regular 6-sided polygon), enclosed by hexagram 2.

4. Create the inscribed hexagram of circle 3 by constructing two inscribed equilateral triangles, one pointing to the left, one pointing to the right.

5. Construct the inscribed circle of the hexagon, enclosed by hexagram 2.

6. Create the inscribed hexagram of circle 5 by constructing two inscribed equilateral triangles, one pointing up, one pointing down.

7. Construct the circumscribed circle of the hexagon, enclosed by hexagram 6.

8. Copy circle 5 to the top angular point of hexagram 6.

9. Construct a circle concentric to circle 1, passing through the intersections of circle 8 and the upper side of the triangle of hexagram 2 pointing down.

10. Construct the inscribed circle of the hexagon, enclosed by hexagram 6.

11. Copy circle 10 three times, to the angular points of the triangle of hexagram 2 pointing up.

12. Copy circle 1 three times, to the centers of circles 11.

13. Draw the three rays from the center of circle 1 to the mutual intersections of circles 12, and extend these in opposite directions up to the outer sides of circles 12.

14. Construct three circles concentric to circles 12, each passing through the two near intersections of circle 9 and lines 13, that lie inside the overlapping areas of circles 12, as shown.

15. Copy circle 5 three times, to the outer intersections of circles 12 and lines 13.

16. Construct a circle concentric to circle 1, passing through the outer ring of intersections of hexagrams 4 and 6.

17. Copy circle 16 three times, to the centers of circles 15.

18. Extend lines 13 up to the outer sides of circles 15.

19. Copy circle 10 to the center of upper circle 15.

20. Construct the inscribed equilateral triangle of the lower left circle 17, with an angular point coincident with the end-point of lower left line 18 (extended line 13).

21. Copy circle 3 to the center of the lower right circle 15.

22. Extend lower right line 18 up to circle 21.

23. Create the inscribed hexagram of circle 21 by constructing two inscribed equilateral triangles, one pointing to the end of line 22, one pointing towards the center of circle 1.

24. Construct three pairs of parallel lines, by connecting opposite pairs of intersections of the lower right circle 15 and hexagram 23, as shown.

25. Copy circles 7 and 10 to the center of the lower right circle 15.

26. Draw two rays of hexagram 23 from the center of the lower right circle 15 to the upper right and lower angular points, as shown.

27. Circles 9, 11, 12, 14, 15, 17, 19 and 25, triangle 20, and lines 24 and 26 are the constituents of the reconstruction.

28. Leaving out all irrelevant parts...

29. ...and colouring the areas corresponding to standing.. .

30. ...or to flattened crop, finish the reconstruction of the 2003 Bainbridge, Ohio, USA, formation.

31. The final result, matched with the aerial image.

Copyright © 2003, Reprinted with permission of researcher Zef Damen, The Netherlands