Reconstruction of theEtchilhampton Hill 24-07-2022 formation | |||||

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

2. |
Construct the inscribed regular 16-sided polygon of circle 1, pointing up. Draw the sixteen rays, from the center to the angular points. Number these rays as well as the angular points, clockwise, 1 - 16, starting at the top. | ||||

3. |
Draw the connecting line between angular points 2 nrs. 4 and 6. | ||||

4. |
Construct a circle centered at the intersection of ray 2 nr. 5 and line 3, passing through angular point 2 nr. 4. | ||||

5. |
Construct a circle concentric to circle 1, tangent to circle 4 at the lefthand side. | ||||

6. |
Draw the connecting line between angular points 2 nrs. 3 and 10. | ||||

7. |
Construct a circle concentric to circle 1, passing through the intersection of line 6 and the horizontal centerline. | ||||

8. |
Copy circle 7 to the center of circle 4. | ||||

9. |
Construct a circle concentric to circle 1, tangent to circle 8 at the lefthand side. | ||||

10. |
Draw the connecting line between angular points 2 nrs. 3 and 7. | ||||

11. |
Construct a circle centered at the intersection of line 10 and the horizontal centerline, tangent to circle 8 at the lefthand side. | ||||

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

13. |
Construct a circle centered at the lefthand intersection and passing through the righthand intersection of circle 11 and the horizontal centerline. | ||||

14. |
Copy circle 13 nine times, to the righthand intersection of circle 1 and the horizontal centerline, and to the intersections of circle 5 and rays 2 nrs. 2, 3, 4, 5, 13, 14, 15, and 16. | ||||

15. |
Construct a circle concentric to circle 1, tangent to the rightmost circle 14 at the righthand side. | ||||

16. |
Draw four connecting lines, between the intersections of circle 9 and rays 2 nrs. 1 and 7, and nrs. 1 and 11, and from angular points 2 nrs. 2 and 16 to the intersections of circle 9 and rays 2 nrs. 11 and 7 respectively, as shown. | ||||

17. |
Draw the connecting line between the intersections of circle 7 and inner (lower) lines 16. Extend this line upto circle 9 in both directions, as shown. | ||||

18. |
Construct a circle concentric to the leftmost circle 14, tangent to line 17. | ||||

19. |
Construct a circle concentric to circle 1, tangent to circle 18 at the righthand side. | ||||

20. |
Construct a circle concentric to circle 1, tangent to circle 18 at the lefthand side. | ||||

21. |
Draw two connecting lines, from the intersection of circle 19 and ray 2 nr. 1 to the intersections of circle 9 and rays 2 nrs. 7 and 11. | ||||

22. |
Copy circle 13 to the intersection of line 17 and ray 2 nr. 9. | ||||

23. |
Construct a (horizontal) line parallel to line 17, tangent to circle 22 at the lower side, and extending to circle 9 in both directions. | ||||

24. |
Draw two connecting lines, from the intersection of circle 9 and ray 2 nr. 9, to its intersections with line 23. | ||||

25. |
Construct a circle concentric to circle 22, passing through the center of circle 1. | ||||

26. |
Draw the connecting line between angular points 2 nrs. 6 and 12. | ||||

27. |
Construct a circle centered at the intersection of ray 2 nr. 9 and line 26, tangent to circle 7 at the lower side. | ||||

28. |
Draw the connecting line between the intersections of circles 19 and 27. | ||||

29. |
Copy circle 27 to the intersection of ray 2 nr. 9 and line 28. | ||||

30. |
Construct a circle centered at the intersection of circle 7 and ray 2 nr. 9, tangent to circle 29 at the upper side. | ||||

31. |
Draw the connecting line between the intersections of circles 7 and 30. | ||||

32. |
Copy circle 30 to the intersection of ray 2 nr. 9 and line 31. | ||||

33. |
Draw the connecting line between the intersection of circle 12 and ray 2 nr. 9 and angular point 2 nr. 10. | ||||

34. |
Copy circle 13 to the intersection of circle 12 and ray 2 nr. 9. | ||||

35. |
Construct a circle centered at the lower intersection of circle 34 and ray 2 nr. 9, tangent to line 33, and move this circle (copy and delete original) to angular point 2 nr. 10. | ||||

36. |
Construct a line from the lower intersection of circle 34 and ray 2 nr. 9, tangent to circle 35 at the lower side. | ||||

37. |
Copy circle 13 to the lower intersection of circle 34 and ray 2 nr. 9. | ||||

38. |
Construct a circle centered at the lower intersection of circle 37 and ray 2 nr. 9, tangent to line 33, and move this circle to the center of circle 35. | ||||

39. |
Construct a line from the lower intersection of circle 37 and ray 2 nr. 9, tangent to circle 38 at the lower side. | ||||

40. |
Copy circle 13 to the lower intersection of circle 37 and ray 2 nr. 9. | ||||

41. |
Construct a circle centered at the lower intersection of circle 40 and ray 2 nr. 9, tangent to line 33, and move this circle to the center of circle 35. | ||||

42. |
Construct a line from the lower intersection of circle 40 and ray 2 nr. 9, tangent to circle 41 at the lower side. | ||||

43. |
Copy circle 13 to the lower intersection of circle 40 and ray 2 nr. 9. | ||||

44. |
Construct a circle centered at the lower intersection of circle 43 and ray 2 nr. 9, tangent to line 33, and move this circle to the center of circle 35. | ||||

45. |
Construct a line from the lower intersection of circle 43 and ray 2 nr. 9, tangent to circle 44 at the lower side. | ||||

46. |
Copy circles 35, 38, 41, and 44, to angular point 2 nr. 8. | ||||

47. |
Copy lines 33, 36, 39, 42, and 45, while mirroring with respect to ray 2, nr. 9, as shown. | ||||

48. |
Draw the connecting line between angular points 2 nrs. 8 and 15. | ||||

49. |
Copy circle 13 three times, to the intersections of circle 9 and the outer (upper) lines 16, as shown. | ||||

50. |
Copy circle 13 to the intersection of the inner (lower) lines 16, as shown. | ||||

51. |
Construct four lines parallel to lines 16 at the outer and inner sides, tangent to circles 49 and 50 at the corresponding sides, as shown. | ||||

52. |
Remove from circles 1 and 12, and lines 6, 33, 36, 39, 42, 45, 47, and 48, all redundant parts... | ||||

53. |
...such, that this pattern remains. | ||||

54. |
Copy pattern 53 seven times, with respect to angular points 2 nrs. 1, 3, 5, 7, 11, 13, and 15, as shown. | ||||

55. |
Remove from circles 5, 14, 19, and 20, and lines 17, and 51, all redundant parts... | ||||

56. |
...such, that this pattern remains. | ||||

57. |
Remove from rays 2, and lines 16, and 21, all redundant parts... | ||||

58. |
...such, that this pattern remains. | ||||

59. |
Remove from circles 25, 29, and 32, and lines 23, 24, and 51, all redundant parts... | ||||

60. |
...such, that this pattern remains. | ||||

61. |
Circle 15, and patterns 53, 54, 56, 58, and 60, together, make up the final reconstruction. pdf-file | ||||

62. |
Colour all areas corresponding to standing... pdf-file | ||||

63. |
...or to flattened crop, and finish the reconstruction of the Etchilhampton Hill formation of 24-07-2022. pdf-file | ||||

64. |
Courtesy the Crop Circle Connector Photo by: Hugh Newman | The final result, matched with the aerial image. | |||

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Copyright © 2022, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||