Reconstruction of theWest Woodhay Down 29-07-2011 formation | |||||

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

2. |
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Construct the inscribed regular 18-sided polygon of circle 1, pointing up. | |||||

3. |
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Draw the eighteen diagonals of polygon 2, closest to but not through the center of circle 1. | |||||

4. |
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Construct a circle passing through the third set of mutual intersections of diagonals 3, counted from the center of circle 1. | |||||

5. |
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Construct a circle passing through the fourth set of mutual intersections of diagonals 3, counted from the center of circle 1. | |||||

6. |
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Construct a circle passing through the fifth set of mutual intersections of diagonals 3, counted from the center of circle 1. | |||||

7. |
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Copy circles 4, 5 and 6 two times, to the intersections of circle 1 and the horizontal centerline. | |||||

8. |
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Copy circle 1 to its righthand intersection with the horizontal centerline. | |||||

9. |
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Copy circle 1 to its lefthand intersection with the horizontal centerline. | |||||

10. |
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Construct a circle centered at the upper mutual intersection of diagonals 3 on the vertical centerline, closest to the center of circle 1, passing through the intersection of the horizontal diagonal 3 above the horizontal centerline and circle 8. | |||||

11. |
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Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 10 and its lower intersection with the vertical centerline. | |||||

12. |
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Copy circle 4 to its lower intersection with circle 8. | |||||

13. |
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Copy circle 11 to the center of circle 12. | |||||

14. |
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Construct a circle centered at the intersection of circles 8 and 12 outside circle 4, passing through the near intersection of circles 8 and 13. | |||||

15. |
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Copy circle 14 to its intersection with circle 8 outside circle 12. | |||||

16. |
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Copy circle 11 to the center of circle 15. | |||||

17. |
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Construct a circle centered at the intersection of circles 8 and 15 outside circle 14, passing through the near intersection of circles 8 and 16. | |||||

18. |
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Create a series of seven circles similar to circles 14 and 17, by repeating steps 15, 16 and 17 seven times, mutatis mutandis (changing what has to be changed). Number these circles 1 through 7 counterclockwise.
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19.
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Copy circles 14, 17 and 18 as a whole, while rotating about the center of circle 1 over 180°. Number these circles 1 through 9 counterclockwise. | |||||

20. |
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Create one more circle in the same way as circles 18, as shown. | |||||

21. |
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Copy circle 20, while rotating about the center of circle 1 over 180°. | |||||

22. |
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Create four more circles similar to circles 18 and 20, and number these circles 1 through 4 counterclockwise. | |||||

23. |
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Draw a line between the lower two innermost mutual intersections of diagonals 3, second to the left and second to the right from the vertical centerline, as shown. | |||||

24. |
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Construct a circle centered at the intersection of line 23 and the vertical centerline, passing through the intersection of line 23 and circle 8. | |||||

25. |
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Copy circle 24 to the upper intersection of circle 22 nr. 4 and circle 8. | |||||

26. |
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Copy circle 22 nr. 4 to the center of circle 25. | |||||

27. |
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Construct a circle centered at the intersection of circles 26 and 8 outside circle 22 nr. 4, passing through the near intersection of circles 25 and 8. | |||||

28. |
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Create three circles similar to circle 27, by repeating steps 25, 26 and 27, mutatis mutandis. Number these circles 1 through 3 counterclockwise.
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29. |
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Copy circle 11 two times, to the intersections of circle 6 and the horizontal centerline. | |||||

30. |
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Construct two parallel lines, tangent to circles 29 at both sides, and extend these lines in both directions upto the near sides of inner circles 7. | |||||

31. |
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Construct a circle centered at the upper lefthand intersection of circle 4 and lines 30, tangent to circle 5 at the near side. | |||||

32. |
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Copy circle 31 three times, to the other intersections of circle 4 and lines 30. | |||||

33. |
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Construct two parallel lines, tangent to circles 31 and 32, the upper at upper and the lower at lower sides, and extend these lines in both directions upto the near sides of middle circles 7, as shown. | |||||

34. |
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Construct a circle centered at the upper lefthand intersection of circle 5 and lines 33, tangent to circle 6 at the near side. | |||||

35. |
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Copy circle 34 three times, to the other intersections of circle 5 and lines 33. | |||||

36. |
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Construct two parallel lines, tangent to circles 34 and 35, the upper at upper and the lower at lower sides, and extend these lines in both directions upto the near sides of outer circles 7, as shown. | |||||

37. |
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Copy circle 34 to the righthand intersection of circle 1 and the horizontal centerline. | |||||

38. |
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Construct a circle concentric to circle 1, tangent to circle 37 at the lefthand side. | |||||

39.
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Draw a line between the centers of lefthand circles 7 and circle 19 nr. 9, and extend this line to the left. | |||||

40. |
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Copy circle 19 nr. 7 to the center of circle 19 nr. 9. | |||||

41. |
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Copy circle 19 nr. 8 two times, to the intersections of circle 40 and line 39, and move these circles (copy and delete originals) to their own intersections with line 39, the lefthand one to the left, the righthand one to the right. | |||||

42. |
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Copy circle 21 two times, to the centers of circles 41. | |||||

43. |
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Construct two circles centered at the lefthand intersection of the lefthand, and the righthand intersection of the righthand circle 42 with line 39, passing through each other's center, as shown. | |||||

44. |
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Draw the connecting line between the center of circle 40 and the lower intersection of circles 43. | |||||

45. |
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Construct a circle concentric to circle 40, passing through the center of circle 21. | |||||

46. |
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Copy circle 21 to the intersection of circle 45 and line 44. | |||||

47. |
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Construct a circle concentric to circle 40, passing through the centers of circles 43. | |||||

48. |
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Copy circle 19 nr. 2 to the center of circle 19 nr. 4. | |||||

49. |
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Copy circle 10 two times, to the intersections of circle 4 and the horizontal centerline. | |||||

50. |
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Construct a circle tangent to righthand circle 41 at the lefthand side, tangent to circle 48 at the lower side, and tangent to lefthand circle 49 at the lefthand side. | |||||

51. |
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Construct a circle concentric to circle 50, tangent to righthand circle 42 at the lefthand side. | |||||

52. |
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Construct a circle tangent to lefthand circle 41 at the righthand side, tangent to circle 48 at the upper side, and tangent to righthand circle 49 at the righthand side. | |||||

53. |
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Construct a circle concentric to circle 52, tangent to lefthand circle 42 at the righthand side. | |||||

54. |
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Copy circle 31 two times, to the righthand intersections of circles 51 and 53 with the horizontal centerline. | |||||

55. |
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Copy circle 34 two times, to the lefthand intersection of lefthand and the righthand intersection of righthand circle 54 with the horizontal centerline. | |||||

56. |
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Construct two circles concentric to circle 50, tangent to the lefthand circles 54 and 55 at the lefthand sides. | |||||

57. |
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Construct two circles concentric to circle 52, tangent to the righthand circles 54 and 55 at the righthand sides. | |||||

58. |
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Copy circles 50, 51, 52, 53, 56 and 57, as a whole, while rotating about the center of circle 1 over 180°. | |||||

59.
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Copy circle 18 nr. 5 to the center of circle 18 nr. 7. | |||||

60. |
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Copy circle 18 nr. 3 to the center of circle 18 nr. 7. | |||||

61. |
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Copy circle 20 to the center of circle 22 nr. 2. | |||||

62. |
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Copy circle 22 nr. 2 to the center of circle 22 nr. 4. | |||||

63. |
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Construct two circles, tangent to circles 59, 61 and 62, one at the lefthand sides, one at the righthand sides. | |||||

64. |
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Construct two circles, concentric to circles 63, tangent to circle 60, one at the lefthand side, one at the righthand side, as shown. | |||||

65. |
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Construct a circle concentric to circle 28 nr. 3, passing through the center of circle 22 nr. 4. | |||||

66. |
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Copy circles 22 nrs. 3 and 4, circle 27, and circle 28 nr. 1, to the centers of respectively circle 27, and circles 28 nrs. 1, 2 and 3. | |||||

67. |
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Construct a circle tangent to circle 50 at the righthand outside and tangent to circles 4 and 19 nr. 1 at the near outsides, as shown. | |||||

68. |
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Construct a "two-points" circle between the center of circle 67 and its tangent point with circle 50. | |||||

69. |
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Construct a circle tangent to circle 52 at the righthand inside and tangent to circles 4 and 19 nr. 1 at the near outsides, as shown. | |||||

70. |
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Copy circle 68 two times, to the centers of circles 67 and 69. | |||||

71. |
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Create sixteen circles similar to circles 67 and 69, by repeating steps 67 and 69 for all pairs of adjacent circles 19. | |||||

72. |
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Create sixteen circles concentric to circles 71, similar to circles 70, by repeating steps 68 and 70 with respect to circles 71. | |||||

73. |
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Copy circles 70 and 72, as a whole, while rotating about the center of circle 1 over 180°. | |||||

74. |
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Create ten more circles similar to circles 67, 69 and 71, by repeating steps 67 and 69 for all pairs of adjacent circles 18 nr. 7, 20 and 22, with respect to circles 63 in stead of circles 50 and 52. | |||||

75. |
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Create ten more circles concentric to circles 74, similar to circles 70, by repeating steps 68 and 70 with respect to circles 74. | |||||

76. |
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Copy circle 19 nr. 8 to the center of circle 46. | |||||

77. |
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Draw two lines tangent to circles 40 and 76, one at the lefthand sides and one at the righthand sides. | |||||

78. |
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Construct two circles similar to circles 67 and 69, with respect to circles 19 nr. 9 and 46, and lines 77. | |||||

79. |
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Copy lowermost circle 72 two times, to the centers of circles 78. | |||||

80. |
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Copy circle 47 to the lower intersection of circles 43. | |||||

81. |
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Draw two parallel lines tangent to circles 47 and 80 at both sides, and extend these lines upto the opposite sides of circles 43. | |||||

82. |
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Copy circle 68 two times, to the intersections of lines 39 and 81, and move both circles to their own upper intersections with lines 81. See detail. | |||||

83. |
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Circles 1, 4, 7, 14, 17, 18, 19, 20, 22, 27, 28, 38, 41, 42, 43, 46, 47, 50, 51, 52, 53, 56, 57, 58, 62, 63, 64, 65, 66, 70, 72, 73, 75, 79 and 82, and lines 30, 33 and 36, are used for the final reconstruction. | |||||

84. |
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Remove all parts not visible within the formation itself. High resolution dwf-file | |||||

85. |
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Colour all areas corresponding to standing... High resolution dwf-file | |||||

86. |
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...or to flattened crop, and finish the reconstruction of the West Woodhay Down formation of 29-07-2011. High resolution dwf-file | |||||

87. |
Courtesy the Crop Circle Connector | ||||

The final result, matched with two aerial images. | |||||

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Copyright © 2011, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||