Reconstruction of the 2001 Old Shaw Village formation |
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1. | ![]() | Draw a circle. | |||
2. | ![]() | Draw 16 rays, evenly distributed around circle 1. The formation has 8-fold symmetry. First, one eighth segment is reconstructed (except for the concentric circles), and only near the end, all relevant parts are copied and distributed. | |||
3. | ![]() | Construct a circle tangent to circle 1 at the inner side on the right, and tangent to the two shown rays, the second above and the second below the horizontal centerline on the right. | |||
4. | ![]() | Construct a circle concentric to circle 1, tangent to circle 3 at the near side. | |||
5. | ![]() | Construct the inscribed square of circle 4. | |||
6. | ![]() | Construct a circle concentric to circle 1, passing through the intersections of square 5 and every second ray, starting at ray "1" (the one above the horizontal centerline on the right). | |||
7. | ![]() | Draw the connecting line between the intersections of circle 6 and rays "1" and "7". | |||
8. | ![]() | Construct a circle concentric to circle 1, tangent to line 7. | |||
9. | ![]() | Copy circle 6 to the end-point of the horizontal centerline on the right. | |||
10. | ![]() | Copy circle 4 to the intersection on the left of circle 9 and the horizontal centerline. | |||
11. | ![]() | Construct a circle concentric to circle 1, tangent to circle 10 at the far side. | |||
12. | ![]() | Extend all rays up to circle 11. | |||
13. | ![]() | Copy circle 8 to the center of circle 10. | |||
14. | ![]() | Construct two lines from the center of circle 1, tangent to circle 13 on both sides. Extend both lines up to circle 11. | |||
15. | ![]() | Construct a circle centered at the intersection of the horizontal centerline and circle 11, passing through the intersections of the latter with lines 12. | |||
16. | ![]() | Construct a circle concentric to circle 1, passing through the upper right intersection of ray "1" and circle 3. | |||
17. | ![]() | Draw the connecting line between the intersections of circle 16 and rays "1" and "7". | |||
18. | ![]() | Construct a circle concentric to circle 1, tangent to line 17. | |||
19. | ![]() | Copy circle 8 to the intersection of circle 18 and ray "1". | |||
20. | ![]() | Draw two lines from the end-point of ray "1" (its intersection with circle 11), tangent to circle 19 on both sides. Extend both lines up to circle 1 (on the opposite side). | |||
21. | ![]() | Construct a circle centered at the intersection of circle 18 and ray "9", tangent to both lines 20. | |||
22. | ![]() | Copy circle 21 to the center of circle 15. | |||
23. | ![]() | Construct a circle concentric to circle 1, tangent to circle 22 at the near side. | |||
24. | ![]() | Construct a circle concentric to circle 1, passing through the center of circle 13. | |||
25. | ![]() | Construct a circle concentric to circle 1, tangent to circle 13 at the near side. | |||
26. | ![]() | Construct the inscribed square of circle 11. | |||
27. | ![]() | Construct the inscribed circle of square 26. | |||
28. | ![]() | Construct the circumscribed 16-sided regular polygon of circle 1, pointing up. | |||
29. | ![]() | Construct the inscribed square of polygon 28, such that angular points of both coincide. | |||
30. | ![]() | Construct the inscribed circle of square 29. | |||
31. | ![]() | Construct the inscribed square of circle 24. | |||
32. | ![]() | Construct the inscribed circle of square 31. | |||
33. | ![]() | Copy circle 1 to its intersection with the horizontal centerline on the right. | |||
34. | ![]() | Draw the connecting line between the intersections of circles 1 and 33 (the perpendicular bisector of the right half of the horizontal centerline of circle 1). | |||
35. | ![]() | Construct a circle concentric to circle 1, tangent to line 34. | |||
36. | ![]() | Construct six circles, all tangent to both lines 20, centered at the intersections of ray "1" and circles 35, 32, 30, 25, 16 and 23, respectively. | |||
37. | ![]() | Construct three circles, all tangent to both lines 14, centered at the intersections of the horizontal centerline on the right and circles 35, 32 and 27, respectively. | |||
38. | ![]() | Copy the fifth circle 36, the one centered at circle 16, to the opposite, the intersection of the latter with ray "9". | |||
39. | ![]() | Draw two parallel lines tangent to both (corresponding) sides of both circles, circle 38 and fifth circle 36 (see inset for details). | |||
40. | ![]() | Trim away all parts of lines 39, except the upper right parts between circles 4 and 18. | |||
41. | ![]() | Trim away from circle 3, the part on the right between both tangent points (on the rays). | |||
42. | ![]() | Circles 13, 15, 19, 22, circle sets 36 and 37, lines 40 and arc 41 together form the parts of one eighth segment of the pattern. | |||
43. | ![]() | Copy all parts mentioned in step 42 seven times and distribute them evenly around circle 1. Together with circles 1, 4, 6 and 8, these form all necessary parts for the reconstruction. | |||
44. | ![]() | Trimming away all superfluous parts, and making black areas corresponding to standing crop, finishes the reconstruction of the 2001 Old Shaw Village formation. | |||
45. | ![]() courtesy The Crop Circle Connector photo by: Steve Alexander | The final result, matched with the aerial image. | |||
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Copyright © 2001, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||
Since 1-February-2005 |