Reconstruction of thePewsey White Horse 8-08-2010 formation | |||||

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

2. |
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Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 1 and its upper intersection with the vertical centerline. | |||||

3. |
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Construct a circle concentric to circle 2, tangent to circle 1 at the lower side. | |||||

4. |
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Construct a circle centered at the upper intersection of circle 1 and the vertical centerline, tangent to circle 1 at the lower side. | |||||

5. |
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Construct a circle centered at the upper intersection of circle 3 and the vertical centerline, tangent to circle 1 at the lower side. | |||||

6. |
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Copy circle 2 to the upper intersection of circle 5 and the vertical centerline. | |||||

7. |
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Draw the horizontal centerline of circle 6. | |||||

8. |
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Construct a circle concentric to circle 5, passing through the righthand intersection of circle 6 and line 7. | |||||

9. |
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Construct a circle centered at the lower intersection of circle 1 and the vertical centerline, tangent to circle 8 at the lower side. | |||||

10. |
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Construct a circle concentric to circle 3, tangent to circle 9 at the upper side. | |||||

11. |
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Construct a circle concentric to circle 4, tangent to circle 9 at the upper side. | |||||

12. |
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Copy circle 2 to the upper intersection of circle 3 and the vertical centerline. | |||||

13. |
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Copy circle 9 to its lower intersection with the vertical centerline. | |||||

14. |
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Construct a "two-points" circle between the center of circle 13 and its lower intersection with the vertical centerline. | |||||

15. |
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Construct a "two-points" circle between the upper intersection of circle 5 and the vertical centerline, and the center of circle 14. See detail. | |||||

16. |
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Copy circle 15 to the center of circle 2. | |||||

17. |
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Draw the horizontal centerline of circle 16. | |||||

18. |
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Copy circle 15 to the righthand intersection of circle 16 and line 17. | |||||

19.
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Draw the horizontal centerline of circle 18. | |||||

20. |
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Divide line 19 into twenty-one equal parts. | |||||

21. |
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Construct a line parallel to and equal in length with line 19, from the upper intersection of circle 2 and the vertical centerline to the right. | |||||

22. |
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Construct twenty-one lines, perpendicular to line 19, from division-marks 20 upto line 21. Number these lines (and the division-marks 20) from left to right 1 to 21. (These numbers will also be used to number circles to be constructed in following steps). | |||||

23. |
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Construct a circle centered at the lefthand intersection of circle 1, passing through the lefthand intersection of circle 10, with the horizontal centerline. | |||||

24. |
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Copy circle 23 to division 20 nr. 6. | |||||

25. |
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Draw the connecting line between the upper intersection of circle 1 and the vertical centerline and the intersection of circle 24 and line 22 nr. 6. | |||||

26. |
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Construct five circles centered at divisions 20 nrs. 1 to 5, passing through the intersections of the corresponding lines 22 and line 25. | |||||

27. |
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Copy circle 26 nr. 1 to the upper intersection of circle 15 and the vertical centerline. | |||||

28. |
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Copy circle 26 nr. 2 to the lefthand intersection of circles 15 and 27, and move this circle (copy and delete original) to its own corresponding intersection. | |||||

29. |
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Copy circle 26 nr. 3 to the lower lefthand intersection of circles 15 and 28, and move this circle to its own corresponding intersection. | |||||

30. |
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Copy circle 26 nr. 4 to the lower lefthand intersection of circles 15 and 29, and move this circle to its own corresponding intersection. | |||||

31. |
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Copy circle 26 nr. 5 to the lower intersection of circles 15 and 30, and move this circle to its own corresponding intersection. | |||||

32. |
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Copy circle 23 to the lower intersection of circles 15 and 31, and move this circle to its own corresponding intersection. | |||||

33. |
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Construct a circle centered at the lower intersection of circles 1 and 23, tangent to circle 3 at the lower lefthand side. | |||||

34. |
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Copy circle 33 to division 20 nr. 11. | |||||

35. |
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Draw the connecting line between the intersections of circles 24 and 34 with their corresponding lines 22. | |||||

36. |
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Construct four circles centered at divisions 20 nrs. 7 to 10, passing through the intersections of the corresponding lines 22 and line 35. | |||||

37. |
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Copy circle 36 nr. 7 to the lower intersection of circles 15 and 32, and move this circle to its own corresponding intersection. | |||||

38. |
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Copy circle 36 nr. 8 to the lower intersection of circles 15 and 37, and move this circle to its own corresponding intersection. | |||||

39.
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Copy circle 36 nr. 9 to the lower intersection of circles 15 and 38, and move this circle to its own corresponding intersection. | |||||

40. |
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Copy circle 36 nr. 10 to the lower intersection of circles 15 and 39, and move this circle to its own corresponding intersection. | |||||

41. |
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Copy circle 33 to the lower righthand intersection of circles 15 and 40, and move this circle to its own corresponding intersection. | |||||

42. |
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Construct a circle centered at the lefthand intersection of circles 1 and 11, tangent to circle 3 at the lower side. | |||||

43. |
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Copy circle 42 to the righthand end-point of line 19. | |||||

44. |
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Draw the connecting line between the intersections of circles 34 and 43 with lines 22. | |||||

45. |
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Construct two circles centered at divisions 20 nrs. 12 and 13, passing through the intersections of the corresponding lines 22 and line 44. | |||||

46. |
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Copy circle 45 nr. 12 to the lower righthand intersection of circles 15 and 41, and move this circle to its own corresponding intersection. | |||||

47. |
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Copy circle 45 nr. 13 to the righthand intersection of circles 15 and 46, and move this circle to its own corresponding intersection. | |||||

48. |
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Construct a circle centered at the lower intersection of circles 1 and 33, tangent to circle 3 at the lower lefthand side. | |||||

49. |
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Copy circle 48 to the righthand intersection of circles 15 and 47, and move this circle to its own corresponding intersection. | |||||

50. |
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Construct a circle centered at the lower righthand intersection of circles 1 and 48, tangent to circle 3 at the lower lefthand side. | |||||

51. |
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Copy circle 50 to division 20 nr. 15. | |||||

52. |
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Draw the connecting line between the intersections of circles 51 and 43 with lines 22. | |||||

53. |
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Construct five circles centered at divisions 20 nrs. 16 to 20, passing through the intersections of the corresponding lines 22 and line 52. | |||||

54. |
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Copy circle 50 to the righthand intersection of circles 15 and 49, and move this circle to its own corresponding intersection. | |||||

55. |
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Copy circle 53 nr. 16 to the righthand intersection of circles 15 and 54, and move this circle to its own corresponding intersection. See detail. | |||||

56. |
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Copy circle 53 nr. 17 to the righthand intersection of circles 15 and 55, and move this circle to its own corresponding intersection. | |||||

57. |
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Copy circle 53 nr. 18 to the righthand intersection of circles 15 and 56, and move this circle to its own corresponding intersection. | |||||

58. |
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Copy circle 53 nr. 19 to the righthand intersection of circles 15 and 57, and move this circle to its own corresponding intersection. | |||||

59.
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Copy circle 53 nr. 20 to the righthand intersection of circles 15 and 58, and move this circle to its own corresponding intersection. | |||||

60. |
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Copy circle 42 to the center of circle 14. | |||||

61. |
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Copy circle 50 two times, to the intersections of circle 27 and the vertical centerline. | |||||

62. |
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Copy circle 53 nr. 16 two times, to the upper intersection of upper circle 61 and to the lower intersection of lower circle 61 with the vertical centerline. | |||||

63. |
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Construct a circle concentric to circle 15, tangent to upper circle 62 at the upper side. | |||||

64. |
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Draw five rays of circle 15, from the center to the centers of circles 28, 29, 30, 31 and 32, and extend these lines upto circle 63. | |||||

65. |
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Copy circle 50 ten times, to the intersections of circles 28, 29, 30, 31 and 32 with rays 64. | |||||

66. |
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Copy circle 53 nr. 16 ten times, to the "outer" and "inner" intersections of circles 65 and rays 64, corresponding to circles 62, as shown. | |||||

67. |
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Draw six rays of circle 15, from the center to the centers of circles 37, 38, 39, 40, 41 and 46, and extend these lines upto circle 63. | |||||

68. |
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Copy circle 53 nr. 17 eleven times, to the intersections of circles 37, 38, 39, 40 and 41, and to the lower lefthand intersection of circle 46 with rays 67. | |||||

69. |
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Copy circle 53 nr. 19 eleven times, to the "outer" and "inner" intersections of circles 68 and rays 67, corresponding to circles 66, as shown. See detail. | |||||

70. |
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Copy circle 53 nr. 20 to the upper righthand intersection of circle 46 and ray 67, and move this circle to its own corresponding intersection. See detail. | |||||

71. |
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Draw twelve rays of circle 15, from the center to the intersections of circles 28, 29, 30, 31, 32, 37, 38, 39, 40, 41 and 46, with circle 15, and extend these lines upto circle 63. | |||||

72. |
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Copy circle 48 twelve times, to the intersections of circle 15 and rays 71. | |||||

73. |
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Draw four rays of circle 15, from the center to the intersections of circles 49, 54 and 55, with circle 15, and extend these lines upto circle 63. | |||||

74. |
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Copy circles 50 and 53 nrs. 16, 17 and 18, to the intersections of circle 15 and rays 73, from left to right respectively. See detail. | |||||

75. |
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Construct a "two-points" circle between the center of circle 14 and its lower intersection with the vertical centerline. | |||||

76. |
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Copy circle 75 thirty-two times, to the intersections of circles 72 and 74 with rays 71 and 73. | |||||

77. |
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Copy circle 42 to the center of circle 59. | |||||

78. |
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Construct a circle centered at the lefthand intersection of circles 15 and 59, tangent to circle 77 at the lefthand side. | |||||

79. |
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Copy circle 78 eighteen times, to the intersections of circle 15 with rays 71 and 73, and with circle 57. | |||||

80. |
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Construct eighteen circles, each concentric to one of the circles 28, 29, 30, 31, 32, 37, 38, 39, 40, 41, 46, 47, 49, 54, 55, 56, 57 and 58, tangent to one of the nearest circles 79 at the near sides. See detail of one circle. | |||||

81. |
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Construct a circle concentric to circle 27, tangent to the nearest circle 79 at the near side. | |||||

82. |
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Copy circles 66, 69, 70, 76, 77 and 80, as a whole, while mirroring with respect to the vertical centerline. | |||||

83. |
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Copy circle 75 to the center of circle 14. | |||||

84. |
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Construct two circles concentric to circle 15, tangent to circle 83 at both sides. See detail. | |||||

85. |
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Construct a "two-points" circle between the upper intersections of circles 3 and 10 with the vertical centerline. | |||||

86. |
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Copy circle 85 to the center of circle 1. | |||||

87. |
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Construct two parallel, vertical lines, tangent to circles 85 and 86 at both sides. | |||||

88. |
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Construct a "two-points" circle between the upper intersection of circle 1 and the lower intersection of circle 12, with the vertical centerline. | |||||

89. |
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Copy circle 48 to the center of circle 88. | |||||

90. |
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Draw the horizontal centerline of circle 88. | |||||

91. |
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Copy circle 53 nr. 19 two times, to the intersections of circle 89 and line 90. | |||||

92. |
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Copy circle 14 two times, to the centers of circles 91. | |||||

93. |
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Circles 1, 2, 3, 4, 10, 11, 12, 60, 62, 66, 69, 70, 76, 77, 80, 81, 82, 84, 91 and 92, and lines 87, are used for the final reconstruction. | |||||

94. |
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Remove all parts not visible within the formation itself. High resolution dwf-file | |||||

95. |
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Colour all areas corresponding to standing... High resolution dwf-file | |||||

96. |
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...or to flattened crop, and finish the reconstruction of the Pewsey White Horse formation of 8-08-2010. High resolution dwf-file | |||||

97. |
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Courtesy the Crop Circle Connector Photo's by: Matthew Williams. | |||||

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

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Copyright © 2010, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||