Reconstruction of the Martinsell 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. | |||
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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. | |||
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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. | |||
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Copyright © 2009, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||