Reconstruction of the Ox Drove 8-08-2015 formation | |||||
1. | ![]() | Draw a circle. Draw the horizontal and vertical centerlines. | |||
2. | ![]() | Copy circle 1 two times, to its upper and righthand intersections with the horizontal and vertical centerlines. | |||
3. | ![]() | Draw the connecting line between the mutual intersections of circles 2. | |||
4. | ![]() | Construct the inscribed dodecagon (regular 12-sided polygon) of circle 1, with one angular point on line 3. Number the angular points clockwise 1 - 12, starting at the upper righthand one. | |||
5. | ![]() | Draw a line between the upper intersection of circle 1 and the vertical centerline and angular point 4 nr. 6. | |||
6. | ![]() | Draw a line between the righthand intersection of circle 1 and the horizontal centerline and angular point 4 nr. 10. | |||
7. | ![]() | Construct a circle concentric to circle 1, passing through the intersection of lines 5 and 6. | |||
8. | ![]() | Construct the inscribed dodecagon of circle 7, with one angular point on line 3. | |||
9. | ![]() | Draw a line similar to line 5, with respect to circle 7 and dodecagon 8. | |||
10. | ![]() | Draw a line similar to line 6, with respect to circle 7 and dodecagon 8. | |||
11. | ![]() | Construct a circle concentric to circle 1, passing through the intersection of lines 9 and 10. | |||
12. | ![]() | Draw a line between the upper intersection of circle 1 and the vertical centerline and angular point 4 nr. 2. | |||
13. | ![]() | Construct a circle concentric to circle 1, tangent to line 12. | |||
14. | ![]() | Copy circle 11 to the intersection of circle 13 and line 3, and move this circle (copy and delete original) to its own lower lefthand intersection with line 3. | |||
15. | ![]() | Construct a circle concentric to circle 1, tangent to circle 14 at the lower lefthand side. | |||
16. | ![]() | Construct a circle centered at intersection of circle 15 and line 3, tangent to circle 13 at the upper righthand side. | |||
17. | ![]() | Construct a circle concentric to circle 1, tangent to circle 16 at the lower lefthand side. | |||
18. | ![]() | Construct a circle centered at the intersection of circle 17 and line 3, tangent to circle 15 at the upper righthand side. | |||
19. | ![]() | Construct a circle concentric to circle 1, tangent to circle 18 at the lower lefthand side. | |||
20. | ![]() | Construct a circle centered at angular point 4 nr 3, passing through angular point 4 nr. 2. | |||
21. | ![]() | Copy circle 20 to the center of circle 1. | |||
22. | ![]() | Draw the twelve rays of dodecagon 4, from the center of circle 1 to the angular points, and number the rays according to the angular points. | |||
23. | ![]() | Construct a circle centered at the righthand intersection of circle 19 and the horizontal centerline, passing through the intersection of circle 17 and ray 22 nr. 3. | |||
24. | ![]() | Copy circle 23 to the intersection of circle 21 and ray 22 nr. 3. | |||
25. | ![]() | Construct a circle concentric to circle 1, tangent to circle 24 at the lefthand side. | |||
26. | ![]() | Copy circle 23 to the intersection of circle 20 and ray 22 nr. 3. | |||
27. | ![]() | Construct a circle concentric to circle 1, tangent to circle 26 at the lefthand side. | |||
28. | ![]() | Construct a line tangent to circles 20 and 21, both at the upper sides. | |||
29. | ![]() | Copy circle 11 two times, to the intersections (tangent points) of line 28 and circles 20 and 21. | |||
30. | ![]() | Construct two parallel lines, tangent to circles 29 at both sides, and extend the upper one to the left upto circle 19. | |||
31. | ![]() | Construct two parallel lines, tangent to circle 11 and lefthand circle 29 at both sides, and extend the lefthand one upto the upper line 30. | |||
32. | ![]() | Copy circle 23 to the center of lefthand circle 29. | |||
33. | ![]() | Copy circle 11 two times, to the upper intersection of circle 15 and the vertical centerline, and to the intersection of circle 32 and line 28. | |||
34. | ![]() | Construct two parallel lines, tangent to circles 33 at both sides, and extend the righthand one downto the lower line 30. | |||
35. | ![]() | Remove all redundant parts from lines 30, 31 and 34, and create the pattern as shown. | |||
36. | ![]() | Copy pattern 35 eleven times, by repeating all necessary steps with respect to the other angular points 4 (nrs. 1 - 11). | |||
37. | ![]() | Construct a "two-points" circle (defined by the two end-points of a centerline) between the intersections of ray 22 nr. 2 and circles 17 and 19. | |||
38. | ![]() | Construct a "two-points" circle between the center of circle 37 and the intersection of ray 22 nr. 2 and circle 13. | |||
39. | ![]() | Repeat steps 37 and 38 with respect to rays 22 nrs. 5, 8, and 11. | |||
40. | ![]() | Copy circle 11 four times, to the intersections of circle 1 and the horizontal and vertical centerlines. | |||
41. | ![]() | Construct two pairs of parallel lines, parallel to the horizontal and vertical centerlines, pairwise tangent to circles 40 at both sides. | |||
42. | ![]() | Circles 1, 7, 13, 15, 17, 19, 25, 27, 38, and 39, lines 22, and 41, and patterns 35 and 36, are used for the final reconstruction. | |||
43. | ![]() | Remove all parts not visible within the formation itself. pdf-file | |||
44. | ![]() | Colour all areas corresponding to standing... pdf-file | |||
45. | ![]() | ...or to flattened crop, and finish the reconstruction of the Ox Drove formation of 8-08-2015. pdf-file | |||
46. | ![]() Photo by: Steve Alexander ![]() Courtesy the Crop Circle Connector Photo by: Lucy Pringle | The final result, matched with two aerial images. | |||
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Copyright © 2015, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||