Reconstruction of the Spiers Lane 1-08-2021 formation | |||||
1. | ![]() | Draw a circle. Draw the horizontal and vertical centerlines. | |||
2. | ![]() | Construct the inscribed regular 16-sided polygon of circle 1, pointing up. | |||
3. | ![]() | Draw the sixteen rays of polygon 2, from the center to the angular points. Number these rays (and angular points) 1 - 16, clockwise, starting at the top. | |||
4. | ![]() | Draw the diagonal of polygon 2 between angular points nrs. 1 and 7. | |||
5. | ![]() | Draw the diagonal of polygon 2 between angular points nrs. 16 and 6. | |||
6. | ![]() | Construct a circle concentric to circle 1, passing through the intersection of diagonals 4 and 5. | |||
7. | ![]() | Draw the connecting line between the intersections of circle 6 with rays 3 nrs. 1 and 13. | |||
8. | ![]() | Construct a circle concentric to circle 1, tangent to line 7. | |||
9. | ![]() | Construct a circle concentric to circle 1, passing through the intersections of line 7 with rays 3 nrs. 14 and 16. | |||
10. | ![]() | Construct the circumscribed square of circle 6, with one angular point on ray 3 nr. 3. | |||
11. | ![]() | Construct the circumscribed circle of square 10. | |||
12. | ![]() | Draw two connecting lines, between angular points nrs. 1 and 3, and 2 and 4. | |||
13. | ![]() | Construct a "two-points" circle (defined by the two end-points of a centerline) between the intersections of rays 3 nrs. 2 and 3 with lines 12, as shown. | |||
14. | ![]() | Copy circle 13 to the righthand intersection of circle 6 and the horizontal centerline. | |||
15. | ![]() | Copy circle 13 to the righthand intersection of circle 14 and the horizontal centerline. | |||
16. | ![]() | Construct a circle concentric to circle 1, tangent to circle 15 at the righthand side. | |||
17. | ![]() | Copy circle 13 four times, to the intersections of circle 16 and the horizontal and vertical centerlines. | |||
18. | ![]() | Construct a circle centered at the lower intersection of circles 6 and 14, tangent to circle 15 at the near side. | |||
19. | ![]() | Copy circle 18 to the center of circle 15. | |||
20. | ![]() | Construct a circle concentric to circle 1, tangent to circle 19 at the lefthand side. | |||
21. | ![]() | Copy circle 18 four times, to the intersections of circle 16 with rays 3 nrs. 3, 7, 11, and 15. | |||
22. | ![]() | Draw the connecting line between the intersections of circle 8 with rays 3 nrs. 1 and 10. | |||
23. | ![]() | Construct a circle concentric to circle 1, tangent to line 22. | |||
24. | ![]() | Construct a circle centered at the intersection of circle 8 and ray 3 nr. 12, tangent to circle 9 at the near side. | |||
25. | ![]() | Copy circle 24 four times, to the center of circle 1, and to the intersections of circle 8 with rays 3 nrs. 4, 6, and 14. | |||
26. | ![]() | Draw four lines, two parallel to rays 3 nrs. 4 and 14, tangent to circles 25 at the lower sides, and two parallel to rays 3 nrs. 6 and 12, tangent to circles 24 and 25 at the upper sides. See detail. | |||
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27. | ![]() | Construct a circle centered at the lower intersection of circle 23 and the vertical centerline, tangent to the central circle 25 at the lower side. | |||
28. | ![]() | Copy circle 27 to the righthand intersection of circle 1 and the horizontal centerline. | |||
29. | ![]() | Construct a circle concentric to circle 1, tangent to circle 28 at the lefthand side. | |||
30. | ![]() | Construct a "two-points" circle between the lower intersections of circles 23 and 27 with the vertical centerline. | |||
31. | ![]() | Copy circle 30 seventeen times, to the center of circle 1, and to the intersections of circle 11 and rays 3. | |||
32. | ![]() | Draw sixteen pairs of parallel lines, parallel to rays 3, tangent at both sides to the central circle 31 and the other circles 31, as shown. | |||
33. | ![]() | Draw the connecting line between the righthand intersections of circles 6 and 20 with the horizontal centerline, and divide this line into five equal parts. | |||
34. | ![]() | Construct four circles concentric to circle 1, passing through dividing nodes 33. See detail. | |||
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35. | ![]() | Remove all redundant parts from lines 3, and 26, and from circles 8, 9, and 23, such that the shown patterns remain. | |||
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36. | ![]() | Remove all redundant parts from circles 6, 20, and 34, and from lines 32, such that the shown patterns remain. | |||
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37. | ![]() | Circles 1, 11, 16, 17, 21, and 29, and patterns 35, and 36, are used for the final reconstruction. | |||
38. | ![]() | Remove all parts not visible within the formation itself. pdf-file | |||
39. | ![]() | Colour all areas corresponding to standing... pdf-file | |||
40. | ![]() | ...or to flattened crop, and finish the reconstruction of the Spiers Lane formation of 1-08-2021. pdf-file | |||
41. | ![]() ![]() Courtesy the Crop Circle Connector Photos by: Hugh Newman | The final result, matched with two aerial images. | |||
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Copyright © 2021, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||