Reconstruction of the
2003 Devils Arrows formation
1. Draw a circle. Draw the horizontal and vertical centerlines.
2. Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing up.
3. Draw the six rays from the center of circle 1 to the angular points of hexagon 2.
4. Draw the connecting line between the left intersection of circle 1 with the horizontal centerline and the upper right angular point of hexagon 2.
5. Construct a circle concentric to circle 1, tangent to line 4.
6. Construct the circumscribed hexagon of circle 5, pointing to the left.
7. Construct the circumscribed circle of hexagon 6.
8. Construct a circle centered at the intersection of circle 5 and upper ray 3, passing through the intersections of circle 5 and the horizontal centerline.
9. Copy circle 8 five times, to the intersections of circle 5 and remaining rays 3.
10. Construct a circle concentric to circle 8, passing through the intersections of upper left circle 9 with lower right ray 3 and upper right circle 9 with lower left ray 3, as shown.
11. Copy circle 10 five times, to the centers of circles 9.
12. Construct a circle centered at the right intersection of the two rightmost circles 9, passing through the intersections of circle 7 and the two rightmost rays 3, as shown.
13. Copy circle 12 five times, to the other corresponding mutual intersections of circles 8 and 9.
14. Construct a circle concentric to circle 12, tangent to the right side of hexagon 2.
15. Copy circle 14 five times, to the centers of circles 13.
16. Construct a circle concentric to circle 1, passing through the second set (counted from the center) of mutual intersections of circles 8 and 9, as shown.
17. Copy circle 16 six times, to the centers of circles 12 and 13.
18. Construct a circle centered at the intersection of circle 5 and the lower ray 3 (see detail), tangent to circle 1 at the upper side.
19. Construct the circumscribed dodecagon (regular 12-sided polygon) of circle 18, with the mid-point of a side coincident with the upper angular point of hegagon 2.
20. Construct the circumscribed circle of dodecagon 19.
21. Copy circles 18 and 20 five times, to the intersections of circle 5 and remaining rays 3 (see detail).
22. For the final reconstruction, only circles 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 20 and 21 are needed.
23. Leave out all parts of these circles not visible in the formation.
24. Colouring the areas corresponding to standing....
25. ...or to flattened crop, finishes the reconstruction of the 2003 Devils Arrows formation.
26. The final result, matched with the aerial image.
Copyright © 2003, Zef Damen, The Netherlands

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Mark Fussell & Stuart Dike

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