Reconstruction of the Etchilhampton 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. | |||
| |||||
Copyright © 2022, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||