Reconstruction of theLiddington Castle 2-06-2010 formation | |||||

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

2. |
Construct the inscribed regular 18-sided polygon of circle 1, pointing up. | ||||

3. |
Draw the eighteen rays of polygon 2, from the center of circle 1 to the angular points. Number these rays 1-18 counterclockwise, as shown. | ||||

4. |
Construct a circle centered at the uppermost angular point of polygon 2, tangent to rays 3 nrs. 3 and 7. | ||||

5. |
Construct the "two-points" circle (defined by the two end-points of a centerline) between the center of circle 4 and its lower intersection with the vertical centerline. | ||||

6. |
Copy circle 4 to the lowermost angular point of polygon 2, and move this circle (copy and remove original) to its own upper intersection with the vertical centerline. | ||||

7. |
Construct the "two-points" circle between the lower intersection of circle 5 and the upper intersection of circle 6, both with the vertical centerline. | ||||

8. |
Construct two inscribed equilateral triangles of circle 7, one pointing up, one pointing down. | ||||

9. |
Construct a circle passing through the lefthand and righthand mutual intersections of triangles 8, and passing through their upper angular point. | ||||

10. |
Construct a circle passing through the lefthand and righthand mutual intersections of triangles 8, and passing through their lower angular point. | ||||

11. |
Copy circle 5 to the center of circle 9, and move it to its own upper intersection with the vertical centerline. | ||||

12. |
Copy circle 4 to the center of circle 10, and move it to its own lower intersection with the vertical centerline. (Notice, that the "space" between circles 11 and 12 and circle 1 is now equally divided into three equal parts!). | ||||

13. |
Draw the connecting line between the lower intersections of circle 11 and rays 3 nrs. 4 and 6. | ||||

14. |
Construct a circle centered at the intersection of line 13 and the vertical centerline, passing through the intersections of circle 12 and rays 3 nrs. 4 and 6. | ||||

15. |
Copy circle 14 two times, to the center of circle 1 and to the intersection of the rightmost side of polygon 2 and the horizontal centerline. | ||||

16. |
Draw the connecting line between the upper intersections of the lefthand circle 15 with the vertical centerline, and of the righthand circle 15 with the rightmost side of polygon 2. | ||||

17. |
Construct a circle concentric to circle 1, passing through the intersection of line 16 and ray 3 nr. 1. | ||||

18. |
Copy circle 14 two times, to the intersections of circle 17 and rays 3 nrs. 2 and 8. (Notice, that the construction of circle 17 is such, that should circle 14 be copied to the intersections of all rays 3, all these circles whould be tangent to each other). | ||||

19. |
Construct a circle concentric to circle 14, tangent to circle 12 at the upper side. | ||||

20. |
Copy circle 19 to the center of the righthand circle 15. | ||||

21. |
Construct a circle concentric to circle 1, tangent to circle 20 at the righthand side. | ||||

22. |
Extend all rays 3 upto circle 21. | ||||

23. |
Construct a "two-points" circle between the center of circle 19 and its lower intersection with the vertical centerline. | ||||

24. |
Copy circle 23 to the center of circle 1. | ||||

25. |
Circles 1, 11, 12, 18, 21 and 24, and lines 3 and 22, are used for the final reconstruction. | ||||

26. |
Remove all parts not present in the formation itself. High resolution dwf-file | ||||

27. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

28. |
...or to flattened crop, and finish the reconstruction of the Liddington Castle formation of 2-06-2010. High resolution dwf-file | ||||

29. |
Courtesy the Crop Circle Connector Photo by: Olivier Morel | The final result, matched with the aerial image. | |||

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Copyright © 2010, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||