Reconstruction of theDevils Arrows 3-08-2003 formation |
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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 this circle 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 of mutual intersections of circles 8 and 9 (counted from the center of circle 1), 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 hexagon 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. High resolution dwf-file | ||||

24. |
Colouring the areas corresponding to standing... High resolution dwf-file | ||||

25. |
...or to flattened crop, finishes the reconstruction of the Devils Arrows formation of 3-08-2003. High resolution dwf-file | ||||

26. |
courtesy the Crop Circle Connector photo by: Wallace Hetherington | The final result, matched with the aerial image. | |||

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Copyright © 2003, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||

Since 1-Februari-2005 |