Reconstruction of theScrope Wood 22-07-2003 formation |
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1. |
Draw seven equal circles on a row, tangent to one another. Draw and extend the horizontal and vertical centerlines of the middle circle. | ||||

2. |
Construct a circle concentric to middle circle 1, tangent to the outer circles 1 left and right, at the outer sides. | ||||

3. |
Copy circle 2 to its right intersection with the horizontal centerline. | ||||

4. |
Draw the connecting lines from the center of circle 2 to its intersections with circle 3. Extend the lines up to the opposite sides of circle 2. | ||||

5. |
Copy the three left and the three right circles 1 two times, to lines 4, again tangent to one another and to middle circle 1, creating two sets of seven circles on a row identical to circles 1, as shown. | ||||

6. |
Construct a circle concentric to circle 1, second from right, tangent to circle 2 at the right side. | ||||

7. |
Copy circle 6 five times, to the centers of the corresponding circles 1 and 5, as shown. | ||||

8. |
Draw the connecting lines between pairs of outer mutual intersections of circles 6 and 7, passing through the center of circle 2, as shown. | ||||

9. |
Construct a hexagon (regular 6-sided polygon) the angular points of which coincide with the centers of circles 6 and 7. | ||||

10. |
Copy middle circle 1 six times, to the intersections of lines 8 and hexagon 9. | ||||

11. |
Construct a circle centered at the tangent point between circles 1, second and third from right, passing through the center of uppermost circle 10. (This circle also passes through the tangent points between circle 1, third from left, and both adjacent circles 5!). | ||||

12. |
Construct a circle concentric to circle 2, tangent to circle 11 at the far right. | ||||

13. |
Draw the connecting line between the intersections of circle 1, second from right, and hexagon 9. (It makes up one side of an inscribed equilateral triangle of this circle). | ||||

14. |
Construct a circle concentric to circle 1, second from right, tangent to line 13 (the inscribed circle of the triangle mentioned in step 13). | ||||

15. |
Copy circle 14 eleven times, to the centers of (remaining) circles 1 and 5, second from the middle circle 1, and to the centers of circles 10. | ||||

16. |
Construct a small circle, tangent at the outer lower side to both circles 5, adjacent to middle circle 1 at the upper side, and tangent to both upper circles 7 at the inner side, as shown. | ||||

17. |
Copy circle 16 to the tangent point between circles 1, second and third from right. | ||||

18. |
Construct a circle concentric to circle 1, second from right, tangent to circle 17 at the right side. | ||||

19. |
Copy circle 18 eleven times, to the centers of circles 15. | ||||

20. |
Copy circle 16 to the center of upper circle 10. | ||||

21. |
Construct a hexagon, parallel to hexagon 9 (with angular points lying on lines 4), the upper side of which is tangent to circle 20 at the upper side, see detail. | ||||

22. |
Construct a hexagon similar to hexagon 21, tangent to circle 20 at the lower side, see detail. | ||||

23. |
Copy circle 16 six times, to the centers of the outermost circles 1 and 5. | ||||

24. |
Construct two lines, parallel to the horizontal centerline, tangent at both sides to the corresponding pair of circles 23. Extend the lines up to circle 12 in both directions, see details. | ||||

25. |
Repeat step 24 for the remaining circles 23 and both lines 4. | ||||

26. |
Construct a circle concentric to circle 6, tangent to the two rightmost circles 19 at the far side, as shown. | ||||

27. |
Copy circle 26 five times, to the centers of circles 7. | ||||

28. |
Construct a small circle, the circumscribed circle of the six-pointed star enclosed by lines 24 and 25. | ||||

29. |
Construct the circumscribed equilateral triangle of circle 28, pointing up. | ||||

30. |
Construct the circumscribed circle of triangle 29. | ||||

31. |
Copy circle 16 six times, to the intersections of lines 8 and circle 30. (Notice, that these circles are tangent to lines 24 and 25). | ||||

32. |
Circles 1, 2, 5, 6, 7, 10, 12, 14, 15, 18, 19, 26, 27 and 31, hexagons 21 and 22, and lines 24 and 25 make up all that is needed for the reconstruction. | ||||

33. |
Remove all parts, invisible in the formation itself. High resolution dwf-file | ||||

34. |
Colouring all areas corresponding to standing... High resolution dwf-file | ||||

35. |
...or to flattened crop, finishes the reconstruction of the Scrope Wood formation of 22-07-2003. High resolution dwf-file | ||||

31. |
courtesy the Crop Circle Connector photo by: Steve Alexander | The final result, matched with the aerial image. | |||

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Copyright © 2003, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||

Since 1-Februari-2005 |