Reconstruction of theWoolstone Hill 13-08-2005 formation | |||||

1. |
Many of the constructions in this reconstruction can not be done by ruler and compass. But the combination of "drawing instructions" and diagrams should result in unambiguous descriptions.Draw a circle. Draw and extend the horizontal and vertical centerlines. | ||||

2. |
Construct the circumscribed octagon (regular 8-sided polygon) of circle 1, one side to the right, as shown. | ||||

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

4. |
Construct the inscribed square of circle 1, sides horizontally and vertically. | ||||

5. |
Construct the inscribed circle of square 4. | ||||

6. |
Copy circle 5 to the righthand intersection of circle 1 and the horizontal centerline, and move this circle to its own corresponding intersection. | ||||

7. |
Construct a circle concentric to circle 1, tangent to circle 6 at the righthand side. | ||||

8. |
Construct a circle centered on the horizontal centerline, tangent to circle 3 at the righthand side, and passing through the center of circle 6. | ||||

9. |
Copy circle 8 to the righthand intersection of circle 7 and the horizontal centerline. | ||||

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

11. |
Construct the inscribed regular 78-sided polygon of circle 7, with an angular point to the right. | ||||

12. |
Draw all 78 rays from the center of circle 7 to the angular points of polygon 11. Number the rays 1 through 78, counterclockwise, starting at the rightmost one. Some examples are shown. | ||||

13. |
Construct two inscribed equilateral triangles of circle 1, one pointing at ray 12 nr. 21, the other at nr. 60. | ||||

14. |
Construct the circumscribed octagon of circle 3, one side to the right, as shown. | ||||

15. |
Construct the circumscribed circle of octagon 14. | ||||

16. |
Construct two inscribed equilateral triangles of circle 15, one pointing at ray 12 nr. 21, the other at nr. 60. | ||||

17. |
Construct a (small) circle centered at the lefthand intersection of triangles 13, passing through the intersection of "upper" triangle 13 (the one pointing at ray 12 nr. 21) and ray 12 nr. 40. | ||||

18. |
Construct a circle concentric to circle 17, passing through the intersection of "upper" triangle 13 and ray 12 nr. 39. | ||||

19. |
Copy circles 17 and 18 as one set five times, to the other intersections of triangles 13. | ||||

20. |
Draw three sets of four parallel lines, between the intersections of opposite sets of circles 17, 18 and 19 and the hexagon (regular 6-sided polygon) enclosed by triangles 13 ("hexagon 13"), as shown. | ||||

21. |
Construct two connecting lines, both parallel to the upperleft side of "hexagon 13", between the near intersections of lines 20 and the two adjacent sides. Extend these lines up to the opposite sides of corresponding triangle 13, as shown. | ||||

22. |
Repeat step 21 five times, for the other sides of "hexagon 13", as shown. | ||||

23. |
Create the central, 6-pointed star-like pattern, as seen in the formation, by removing all irrelevant parts of lines 20, 21 and 22. | ||||

24. |
Construct a circle the end-points of the centerline of which coincide with the intersections of the upper sides of "lower triangles" 13 and 16 and ray 12 nr. 21. | ||||

25. |
Repeat step 24 five times, for the other pairs of sides of triangles 13 and 16 and rays 12 nrs. 8, 34, 47, 60 and 73. | ||||

26. |
Copy circle 17 to the center of circle 6, and move this circle to its own righthand intersection with the horizontal centerline, see detail. | ||||

27. |
Construct a square, centered (the center of its inscribed circle) at the center of circle 1, sides horizontally and vertically, and passing through the center of circle 26. | ||||

28. |
Divide each of the four sides of square 27 into 25 equal sections, and copy circle 17 100 times, to all dividing nodes, and to the four angular points. | ||||

29. |
Draw 26 pairs of parallel horizontal lines, tangent at both sides to circles 28 on the lefthand and righthand sides of square 27, as shown. | ||||

30. |
Draw 26 pairs of parallel vertical lines, tangent at both sides to circles 28 on the upper and lower sides of square 27, as shown. | ||||

31. |
Create the sixteen square patterns around the central circular motif, as seen in the formation, by removing all irrelevant parts from lines 29 and 30. | ||||

32. |
Construct a circle, tangent to rays 12 nrs. 1 and 2, and tangent to circle 7 at the inner side. | ||||

33. |
Copy circle 32 to corresponding positions of all other 77 sections. That means, repeat step 32 for all other pairs of adjacent rays 12. | ||||

34. |
Construct a circle, tangent to rays 12 nrs. 1 and 2, and tangent to circle 1 at the inner side. | ||||

35. |
Copy circle 34 to corresponding positions of all other 77 sections. That means, repeat step 34 for all other pairs of adjacent rays 12. | ||||

36. |
Circles 3, 10, 24, 25, 32, 33, 34 and 35, rays 12, triangles 16, and patterns 23 and 31, together, make up the necessary ingredients for the final reconstruction. | ||||

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

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

39. |
...or to flattened crop, will finish the reconstruction of the Woolstone Hill formation of 13-08-2005. High resolution dwf-file | ||||

40. |
courtesy the Crop Circle Connector photo by: Crop Circle Connector | The final result, matched with the aerial image. | |||

| |||||

Copyright © 2005, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||