Reconstruction of theBoxley 8-07-2006 formation | |||||

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

2. |
Construct the inscribed equilateral triangle of circle 1, pointing up. | ||||

3. |
Construct the inscribed equilateral triangle of circle 1, pointing to the right. | ||||

4. |
Construct the inscribed equilateral triangle of circle 1, pointing to the left. | ||||

5. |
Construct the inscribed equilateral triangle of circle 1, pointing down. | ||||

6. |
Construct a circle concentric to circle 1, passing through the rightmost intersection of triangles 2 and 5. | ||||

7. |
Construct the inscribed equilateral triangle of circle 6, pointing up. | ||||

8. |
Extend the sides of triangle 7 in both directions, up to circle 1. | ||||

9. |
Construct a circle, tangent to both upper sides of triangle 2, and tangent to both upper extensions 8. | ||||

10. |
Construct a circle concentric to circle 1, tangent to circle 9 at the upper side. | ||||

11. |
Construct the circumscribed hexagon (regular 6-sided polygon) of circle 10, pointing to the right. | ||||

12. |
Construct the circumscribed hexagon of circle 10, pointing up. | ||||

13. |
Construct the inscribed equilateral triangle of circle 6, pointing to the right. Extend the sides in both directions, up to hexagon 12. | ||||

14. |
Construct the inscribed equilateral triangle of circle 6, pointing to the left. Extend the sides in both directions, up to hexagon 12. | ||||

15. |
Construct the inscribed equilateral triangle of circle 6, pointing down. Extend the sides in both directions, up to hexagon 11. | ||||

16. |
Draw the twelve diagonals of the dodecagon (regular 12-sided polygon) enclosed by triangles 7, 13, 14 and 15, five angular points apart, as shown. | ||||

17. |
Construct the inscribed circle of the dodecagon enclosed by diagonals 16. | ||||

18. |
Construct a circle centered at the rightmost angular point of hexagon 11, tangent to circle 1 at the righthand side. See detail. | ||||

19. |
Construct a circle concentric to circle 1, tangent to circle 18 at the righthand side. | ||||

20. |
Draw the twelve rays from the center of circle 1 through the angular points of hexagons 11 and 12, extended up to circle 19. | ||||

21. |
Copy circle 18 twelve times, to the intersections of circle 19 and rays 20. | ||||

22. |
Construct the inscribed circle of the dodecagon enclosed by triangles 2, 3, 4 and 5. | ||||

23. |
Construct the inscribed dodecagon of circle 22, pointing to the right. | ||||

24. |
Construct the inscribed circle of dodecagon 23. | ||||

25. |
Copy circle 18 twelve times, to the intersections of circle 24 and rays 20. See detail. | ||||

26. |
Construct a (small) circle concentric to the rightmost circle 25, tangent to circle 22 at the righthand side. See detail. | ||||

27. |
Draw the connecting line between the intersections of circle 22 and the upper left and upper right rays 20, as shown. | ||||

28. |
Construct a circle concentric to circle 1, passing through the intersections of triangle 7 and line 27. See detail. | ||||

29. |
Draw the twelve rays from the center of circle 1 to all intersections of hexagons 11 and 12. | ||||

30. |
Copy circle 26 twelve times, to the intersections of circle 28 and rays 29. | ||||

31. |
Construct a circle concentric to circle 1, passing through the intersections of triangles 2, 3, 4 and 5 and extended sides of triangles 7 (extensions 8), 13, 14 and 15 (one intersection is shown). | ||||

32. |
Copy circle 18 twelve times, to the intersections of circle 31 and rays 29. | ||||

33. |
Draw two lines from the center of circle 9 to the intersections of the upper sides of triangle 2 and the upper side of hexagon 11, and extend these lines up to circle 1, as shown. | ||||

34. |
Draw two connecting lines, from the top angular point of triangle 2 to the intersections of the upper two extensions 8 and the upper side of hexagon 11, as shown. | ||||

35. |
Copy circle 26 two times, to the intersections of lines 33 and 34. See detail. | ||||

36. |
Repeat steps 33, 34 and 35 eleven times, for the other eleven corresponding segments between rays 29 (only the resulting twenty-two copied circles are shown). | ||||

37. |
Triangles 2, 3, 4, 5, 7, 13, 14 and 15, and their respective extensions, hexagons 11 and 12, and circles 17, 21, 25, 30, 32, 35 and 36 together make up all the necessary elements for the final reconstruction. | ||||

38. |
Remove all parts not visible in the formation itself. High resolution dwf-file | ||||

39. |
Colouring all areas corresponding to standing... High resolution dwf-file | ||||

40. |
...or to flattened crop, finishes the reconstruction of the Boxley formation of 8-07-2006. High resolution dwf-file | ||||

41. |
courtesy the Crop Circle Connector photo by: Andrew Fowlds | The final result, matched with the aerial image, does not fit exactly everywhere. | |||

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Copyright © 2006, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||