Reconstruction of theHackpen Hill 15-07-2013 formation | |||||

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

2. |
Construct the inscribed octagon (regular 8-sided polygon) of circle 1, pointing to the right. | ||||

3. |
Construct the inscribed circle of octagon 2. | ||||

4. |
Copy circle 3 to its righthand intersection with the horizontal centerline. | ||||

5. |
Construct a circle concentric to circle 1, tangent to circle 4 at the righthand side. | ||||

6. |
Construct the circumscribed octagon of circle 5, the mid-point of one side on the horizontal centerline. | ||||

7. |
Construct the circumscribed circle of octagon 6. | ||||

8. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the upper intersections of circles 1 and 3 with the vertical centerline. | ||||

9. |
Construct a circle concentric to circle 1, passing through the center of circle 8. | ||||

10. |
Copy circle 8 three times, to the other intersections of circle 9 and the horizontal and vertical centerlines. | ||||

11. |
Construct the inscribed octagon of circle 5, pointing to the right. | ||||

12. |
Construct a circle passing through the upper righthand and lower righthand angular points of octagon 11, and passing through the center of circle 8. | ||||

13. |
Construct a circle concentric to circle 12, tangent to circle 8 at the far side. | ||||

14. |
Construct a circle concentric to circle 12, tangent to circle 8 at the near side. | ||||

15. |
Construct a circle concentric to circle 1, passing through the center of circle 13. | ||||

16. |
Construct the inscribed octagon of circle 15, pointing to the right. | ||||

17. |
Copy circle 13 two times, to the upper lefthand and lower lefthand angular points of octagon 16. | ||||

18. |
Copy circle 14 two times, to the centers of circles 17. | ||||

19. |
Construct a circle concentric to circle 1, passing through the lefthand intersection of circles 18. | ||||

20. |
Construct a circle concentric to circle 1, passing through the righthand intersection of circles 17. | ||||

21. |
Copy circles 13 and 14 another five times, to the other angular points of octagon 16, as shown. | ||||

22. |
Construct a circle concentric to circle 1, passing through the upper intersection of circle 13 and lower circle 17. | ||||

23. |
Construct the inscribed octagon of circle 22, one angular point coincident with the same intersection (of circle 13 and lower circle 17). | ||||

24. |
Construct a circle centered at the lower lefthand angular point of octagon 23, tangent to lower circle 18 at the upper side. | ||||

25. |
Construct a circle centered at the upper lefthand angular point of octagon 23, tangent to upper circle 18 at the lower side. | ||||

26. |
Copy circle 24 two times, to the lefthand upper and lower angular points of octagon 23. | ||||

27. |
Copy circle 24 another four times, to the other angular points of octagon 23, as shown. | ||||

28. |
Construct a circle centered at the righthand intersection of circles 17, passing through the righthand intersection of circles 24 and 25. | ||||

29. |
Copy circle 28 to the center of circle 1. | ||||

30. |
Construct a circle centered at the righthand intersection of circles 18, tangent to circle 29 at the righthand side. | ||||

31. |
Copy circle 30 to the center of circle 1. | ||||

32. |
Construct a circle tangent to circles 26 and tangent to circle 30, all at the inner sides. | ||||

33. |
Copy circle 32 to the center of circle 1. | ||||

34. |
Construct a circle concentric to circle 1, tangent to circle 24 at the near side. | ||||

35. |
Copy circle 34 four times, to the centers of circles 8 and 10. | ||||

36. |
Circles 1, 3, 7, 13, 14, 17, 18, 19, 20, 21, 24, 25, 26, 27, 29, 31, 33 and 35, are used for the final reconstruction. | ||||

37. |
Remove all parts not visible within the formation itself. High resolution dwf-file | ||||

38. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

39. |
...or to flattened crop, and finish the reconstruction of the Hackpen Hill formation of 15-07-2013. High resolution dwf-file | ||||

40. |
Courtesy the Crop Circle Connector Photo by: Jim Peyton | The final result, matched with the aerial image. | |||

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Copyright © 2013, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||