Reconstruction of theMartinsell Hill 19-07-2009 formation | |||||

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

2. |
Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing to the right. | ||||

3. |
Construct six "two-points" circles (a "two-points" circle is defined by the end-points of a centerline) between the center of circle 1 and the six angular points of hexagon 2. Find the upper lefthand circle, and call it circle 3A. | ||||

4. |
Construct the inscribed circle of hexagon 2. | ||||

5. |
Construct the inscribed hexagon of circle 4, pointing up. | ||||

6. |
Construct the inscribed circle of hexagon 5. | ||||

7. |
Construct a circle centered at the upper intersection of circle 6 and the vertical centerline, tangent to circle 3A at the upper righthand side. | ||||

8. |
Copy circle 7 to the center of circle 1. | ||||

9. |
Construct the inscribed hexagon of circle 8, pointing up. | ||||

10. |
Construct the inscribed circle of hexagon 9. | ||||

11. |
Construct the inscribed hexagon of circle 10, pointing up. | ||||

12. |
Construct a "two-points" circle between the intersections of the righthand sides of hexagons 9 and 11 with the horizontal centerline. | ||||

13. |
Construct a "two-points" circle between the center of circle 12 and its lefthand intersection with the horizontal centerline. | ||||

14. |
Copy circle 13 to the lefthand intersection of circles 8 and 3A. | ||||

15. |
Copy circle 10 to the lefthand intersection of circles 14 and 3A, and move this circle (copy and delete original) to its own corresponding intersection. | ||||

16. |
Copy circle 13 to the lefthand intersection of circles 15 and 3A. | ||||

17. |
Construct the inscribed circle of hexagon 11. | ||||

18. |
Copy circle 17 to the lefthand intersection of circles 16 and 3A, and move it to its own corresponding intersection. | ||||

19. |
Copy circle 13 to the lefthand intersection of circles 18 and 3A. | ||||

20. |
Construct a circle centered at the righthand intersection of circle 17 and the horizontal centerline, tangent to circle 10 at the righthand side. | ||||

21. |
Copy circle 20 to its lefthand intersection with the horizontal centerline. | ||||

22. |
Construct a circle concentric to circle 1, tangent to circle 21 at the lefthand side. | ||||

23. |
Copy circle 22 to the lefthand intersection of circles 19 and 3A, and move it to its own corresponding intersection. | ||||

24. |
Copy circle 13 to the lefthand intersection of circles 23 and 3A. | ||||

25. |
Copy circle 20 to the lefthand intersection of circle 21 and the horizontal centerline. | ||||

26. |
Construct a circle concentric to circle 1, tangent to circle 25 at the lefthand side. | ||||

27. |
Copy circle 26 to the lefthand intersection of circles 24 and 3A, and move it to its own corresponding intersection. | ||||

28. |
Copy circle 13 to the upper lefthand intersection of circles 27 and 3A. | ||||

29. |
Construct the inscribed hexagon of circle 26, pointing up. | ||||

30. |
Construct the inscribed circle of hexagon 29. | ||||

31. |
Copy circle 30 to the upper lefthand intersection of circles 28 and 3A, and move it to its own corresponding intersection. | ||||

32. |
Copy circle 13 to the upper lefthand intersection of circles 31 and 3A. | ||||

33. |
Construct a circle centered at the righthand intersection of circle 30 and the horizontal centerline, tangent to circle 26 at the righthand side. | ||||

34. |
Construct a circle concentric to circle 1, tangent to circle 33 at the lefthand side. | ||||

35. |
Copy circle 34 to the upper lefthand intersection of circles 32 and 3A, and move it to its own corresponding intersection. | ||||

36. |
Copy circle 13 to the upper lefthand intersection of circles 35 and 3A. | ||||

37. |
Copy circle 33 to its lefthand intersection with the horizontal centerline. | ||||

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

39. |
Copy circle 38 to the upper lefthand intersection of circles 36 and 3A, and move it to its own corresponding intersection. | ||||

40. |
Copy circle 13 to the upper intersection of circles 39 and 3A. | ||||

41. |
Copy circle 33 to the lefthand intersection of circle 37 and the horizontal centerline. | ||||

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

43. |
Copy circle 42 to the upper intersection of circles 40 and 3A, and move it to its own corresponding intersection. | ||||

44. |
Copy circle 13 to the upper intersection of circles 43 and 3A. | ||||

45. |
Construct a circle concentric to circle 1, passing through the center of circle 15. | ||||

46. |
Copy circle 45 to the center of circle 35, and move it to its own upper intersection with circle 3A. | ||||

47. |
Construct a circle concentric to circle 46, tangent to circle 44 at the upper side. | ||||

48. |
Construct the inscribed equilateral triangle of circle 46, with one angular point at the center of circle 35. | ||||

49. |
Copy circle 34 two times, to the other two angular points of triangle 48. | ||||

50. |
Copy circle 12 to the center of circle 35. | ||||

51. |
Construct two circles concentric to circle 46, tangent to circle 50 at both sides. | ||||

52. |
Copy circle 15 to the lower intersection of circle 45 and the lefthand circle 3. | ||||

53. |
Construct a circle tangent to circles 8, 15 and 52 at the inner sides, as shown. | ||||

54. |
Copy circle 20 to the center of circle 53. | ||||

55. |
Construct a circle concentric to circle 15, passing through the center of circle 53. | ||||

56. |
Copy circle 53 to the lefthand intersection of circles 16 and 3A. | ||||

57. |
Construct a circle concentric to circle 18, tangent to circle 56 at the righthand side. | ||||

58. |
Copy circle 20 two times, to the intersections of circles 55 and 57. | ||||

59. |
Construct a "two-points" circle between the intersections of circles 20 and 21. | ||||

60. |
Copy circle 53 to the lefthand intersection of circles 19 and 3A. | ||||

61. |
Construct a circle concentric to circle 23, tangent to circle 60 at the righthand side. | ||||

62. |
Copy circle 53 to the lefthand intersection of circles 24 and 3A. | ||||

63. |
Construct a circle concentric to circle 27, tangent to circle 62 at the righthand side. | ||||

64. |
Copy circle 59 four times, to the mutual intersections of circles 57, 61 and 63. | ||||

65. |
Construct a circle concentric to circle 25, tangent to circle 59 at the lefthand side. | ||||

66. |
Copy circle 53 to the upper lefthand intersection of circles 28 and 3A. | ||||

67. |
Construct a circle concentric to circle 31, tangent to circle 66 at the lower righthand side. | ||||

68. |
Copy circle 53 to the upper lefthand intersection of circles 32 and 3A. | ||||

69. |
Construct a circle concentric to circle 35, tangent to circle 68 at the lower righthand side. | ||||

70. |
Copy circle 65 four times, to the mutual intersections of circles 63, 67 and 69. See details. | ||||

71. |
Copy circle 53 to the upper lefthand intersection of circles 36 and 3A. | ||||

72. |
Construct a circle concentric to circle 39, tangent to circle 71 at the lower righthand side. | ||||

73. |
Copy circle 53 to the upper lefthand intersection of circles 40 and 3A. | ||||

74. |
Construct a circle concentric to circle 43, tangent to circle 73 at the lower righthand side. | ||||

75. |
Copy circle 12 four times, to the mutual intersections of circles 69, 72 and 74. See detail. | ||||

76. |
Copy circles 15, 18, 23, 27, 31, 35, 39, 43, 47, 49, 51, 54, 58, 64, 70, and 75 as a whole five times, to the corresponding positions with respect to the other circles 3, as shown. | ||||

77. |
Circles 8, 15, 18, 23, 27, 31, 35, 39, 43, 47, 49, 51, 54, 58, 64, 70, 75 and 76 are used for the final reconstruction. | ||||

78. |
Remove all parts not visible within the formation itself. High resolution dwf-file | ||||

79. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

80. |
...or to flattened crop, and finish the reconstruction of the Martinsell Hill formation of 19-07-2009. High resolution dwf-file | ||||

81. |
Photo by: Russell Stannard Photo by: Jack Turner Courtesy the Crop Circle Connector | The final result, matched with two aerial images. | |||

| |||||

Copyright © 2009, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||