|
Reconstruction of the 2001 Old Shaw Village formation | ||
| 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 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. | 
| The final result, matched with the aerial image. |
| Copyright © 2001, Zef Damen, The Netherlands |
