Reconstruction of theWinterbourne Stoke Down 17-06-2018 formation | |||||

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

2. |
Construct the inscribed decagon (regular 10-sided polygon) of circle 1, pointing up. Number the angular points clockwise 1 - 10, starting at the top. | ||||

3. |
Draw the ten rays of circle 1, to the angular points of decagon 2. Number the rays according to the angular points. | ||||

4. |
Draw the diagonal of decagon 2 between angular points nrs. 3 and 9. | ||||

5. |
Construct a circle passing through angular point nr. 1, and passing through the intersections of rays 3 nrs. 2 and 10 and diagonal 4. | ||||

6. |
Draw the diagonal of decagon 2 between angular points nrs. 2 and 8. | ||||

7. |
Construct a circle passing through angular point nr. 10, and passing through the intersections of rays 3 nrs. 1 and 9 and diagonal 6. | ||||

8. |
Construct a circle concentric to circle 1, passing through the lower intersection of circles 5 and 7. | ||||

9. |
Construct a circle concentric to circle 1, passing through the upper intersection of circles 5 and 7. | ||||

10. |
Construct the inscribed decagon of circle 9, pointing to the right. | ||||

11. |
Construct a circle centered at the intersection of the upper side of decagon 10 and the vertical centerline, passing through the lower intersection of circle 5 and ray 3 nr. 2. | ||||

12. |
Construct a circle concentric to circle 1, tangent to circle 11 at the upper side. | ||||

13. |
Construct a line tangent to circle 7 at the righthand side, and parallel to rays 3 nrs. 1 and 6, and extend this line in both directions upto circle 1. | ||||

14. |
Repeat step 13 nine times, with respect to the other corresponding rays 3. | ||||

15. |
Remove from circles 5, 7, and 8, and lines 14, all parts.... | ||||

16. |
...such that the shown pattern remains. | ||||

17. |
Copy pattern 16 four times, relative to rays 3 nrs. 2 and 3, 4 and 5, 6 and 7, and 8 and 9, as shown. | ||||

18. |
(For reasons of clarity, the results of some previous steps are temporarily removed).Construct a circle concentric to circle 1, passing through the lower intersection of circle 5 and ray 3 nr. 2. | ||||

19. |
Construct the inscribed decagon of circle 18, pointing to the right. | ||||

20. |
Construct the inscribed circle of decagon 19. | ||||

21. |
Construct a circle concentric to circle 1, passing through the upper intersection of circle 5 and ray 3 nr. 2. | ||||

22. |
Draw the connecting line between the intersections of circles 5 and 21. | ||||

23. |
Construct a circle concentric to circle 1, tangent to line 22. | ||||

24. |
Construct the circumscribed decagon of circle 21, pointing to the right. | ||||

25. |
Construct the circumscribed circle of decagon 24. | ||||

26. |
Construct the inscribed circle of decagon 10. | ||||

27. |
Construct a circle centered at the righthand intersection of circle 23 and the horizontal centerline, tangent to the nearest sides of decagon 24, as shown. | ||||

28. |
Construct the inscribed pentagon (regular 5-sided polygon) of circle 12, pointing up. | ||||

29. |
Copy circle 27 five times, to the angular points of pentagon 28. | ||||

30. |
Extend line 13 upto circle 12. | ||||

31. |
Copy line 30, while mirroring with respect to the vertical centerline. | ||||

32. |
Repeat steps 30 and 31 four times, relative to the other angular points of pentagon 28. | ||||

33. |
Construct a circle concentric to circle 1, passing through the outer mutual intersections of lines 14. | ||||

34. |
Construct a line tangent to circle 33 at the righthand side, and parallel to rays 3 nrs. 1 and 6, and extending upto circle 1 in both directions. | ||||

35. |
Repeat step 34 four times, with respect to rays 3 nrs. 3 and 8, 5 and 10, 7 and 2, and 9 and 4. | ||||

36. |
Find the two angular points of decagon 19 in between rays 3 nrs. 1 and 2, and 5 and 6. Draw the connecting line between these two points, and extend this line upto circle 1 in both directions. | ||||

37. |
Repeat step 36 four times, in a similar way as step 35. | ||||

38. |
Construct a circle centered at the intersection of line 36 and the horizontal centerline, tangent to circle 33 at the righthand side. | ||||

39. |
Construct a line tangent to circle 38 at the righthand side, and parallel to line 36, and extend this line upto circle 1 in both directions. | ||||

40. |
Repeat step 39 four times, in a similar way as step 35. | ||||

41. |
Copy circle 38 to the intersection of circle 26 and ray 3 nr. 1. | ||||

42. |
Construct a circle concentric to circle 1, tangent to circle 41 at the lower side. | ||||

43. |
Copy circle 38 to the intersection of circle 25 and ray 3 nr. 1. | ||||

44. |
Construct a circle concentric to circle 1, tangent to circle 43 at the upper side. | ||||

45. |
Copy circle 38 to the intersection of circle 20 and ray 3 nr. 1. | ||||

46. |
Construct a circle concentric to circle 1, tangent to circle 45 at the upper side. | ||||

47. |
Remove from circles 20, 23, 25, 26, 42, 44, and 46, and from lines 34, 35, 36, 37, 39, and 40, all parts.... | ||||

48. |
...such that these patterns remain. | ||||

49. |
Circles 1, and 29, lines 30, 31, and 32, and patterns 16, 17, and 48, are used for the final reconstruction. | ||||

50. |
Remove all parts not visible within the formation itself. pdf-file | ||||

51. |
Colour all areas corresponding to standing... pdf-file | ||||

52. |
...or to flattened crop, and finish the reconstruction of the Winterbourne Stoke Down formation of 17-06-2018. pdf-file | ||||

53. |
Photo courtesy the Crop Circle Connector | The final result, matched with the aerial image. | |||

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Copyright © 2018, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||