Reconstruction of theBeacon Hill 28-07-2004 formation | |||||

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

2. |
Create the circumscribed regular six-pointed star of circle 1, by constructing two circumscribed equilateral triangles, one pointing up, one down. | ||||

3. |
Construct the circumscribed circle of the hexagon (regular 6-sided polygon), enclosed by triangles 2. | ||||

4. |
Construct the circumscribed circle of star 2. | ||||

5. |
Create the circumscribed regular six-pointed star of circle 4, by constructing two circumscribed equilateral triangles, one pointing up, one down. | ||||

6. |
Construct the circumscribed circle of the hexagon, enclosed by triangles 5. | ||||

7. |
Construct a circle centered at the vertical centerline, tangent to circle 1 at the lowerside, and tangent to circle 6 at the upper side. | ||||

8. |
Draw the connecting line between the center of circle 1 and the righthand intersection of circles 3 and 7, and extend it up to circle 6 in both directions. | ||||

9. |
Construct a circle concentric to circle 1, passing through the center of circle 7. | ||||

10. |
Copy circle 7 to the upper intersection of line 8 and circle 9. | ||||

11. |
Construct a circle centered at the lower intersection of circles 3 and 10, tangent to circle 6 at the upper side. | ||||

12. |
Copy circle 11 to the righthand intersection of circles 3 and 7. | ||||

13. |
Construct the circumscribed circle of star 5. | ||||

14. |
Construct the circumscribed dodecagon (regular 12-sided polygon) of circle 13, with one side to the right, as shown. | ||||

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

16. |
Construct a circle centered at the righthand intersection of circle 15 and the horizontal centerline, passing through the upper righthand intersection of circles 12 and 15. | ||||

17. |
Draw the two connecting lines between the center of circle 1 and both intersections of circles 15 and 16. | ||||

18. |
Copy and rotate circles 11 and 12 around the center of circle 1, clockwise, by an angle defined by upper line 17 and the horizontal centerline. It is equivalent to doing the complete construction of circles 11 and 12 again, using lower line 17 as the horizontal centerline. | ||||

19. |
Construct the circumscribed dodecagon of circle 15, with one side up, as shown. | ||||

20. |
Construct the circumscribed circle of dodecagon 19. | ||||

21. |
Draw the connecting line between the center of circle 1 and the lefthand intersection of circles 11 and 20. | ||||

22. |
Construct a circle centered at the intersection of righthand circle 18 and line 21, tangent to circle 15 at the near side. | ||||

23. |
Construct a circle concentric to circle 1, passing through the center of circle 22. | ||||

24. |
Construct the inscribed equilateral triangle of circle 23, one angular point coincident with the center of circle 22, as shown. | ||||

25. |
Extend the lower side of triangle 24 up to the lefthand side of circle 22. | ||||

26. |
Construct the inscribed square of circle 1, pointing up. | ||||

27. |
Draw the connecting line between the center of circle 1 and the upper righthand angular point of the hexagon enclosed by triangles 2. | ||||

28. |
Construct a circle concentric to circle 1, passing through the intersection of the upper righthand side of sqare 26 and line 27. | ||||

29. |
Copy the set of circles 7, 10, 18 and 22, and line 25 two times, and rotate and distribute the sets evenly around the center of circle 1, every corresponding circle or line 120° apart, as shown. | ||||

30. |
Circles 1, 3, 7, 10, 15, 18, 20, 22, 28 and 29, and lines 25 and 29, together, make up all that is necessary for the final reconstruction. | ||||

31. |
Remove all superfluous parts not visible in the formation itself. High resolution dwf-file | ||||

32. |
Colouring all areas corresponding to standing... High resolution dwf-file | ||||

33. |
...or to flattened crop, concludes the reconstruction of the Beacon Hill formation of 28-07-2004. High resolution dwf-file | ||||

34. |
courtesy the Crop Circle Connector photo by: Steve Alexander | The final result, matched with the aerial image, fits well in most places. The (assumed) symmetry of the formation happens to be not accurate in some places. | |||

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Copyright © 2004, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||

Since 1-Februari-2005 |