2008 North Down formation
|
Reconstruction of the 2008 North Down formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct the inscribed circle of hexagon 2. |
| 4. |
| Draw the six rays of hexagon 2, from the center of circle 1 to the angular points. |
| 5. |
| Construct a circle centered at the intersection of the lefthand side of hexagon 2 and the horizontal centerline, passing through the intersection of circle 3 and the upper lefthand ray 4. |
| 6. |
| Construct a "two-points" circle, defined by the endpoints of a centerline (diameter), between the center of circle 5 and its righthand intersection with the horizontal centerline. |
| 7. |
| Copy circle 6 to the center of circle 1. |
| 8. |
| Copy circle 6 to the lefthand intersection of circle 1 and the horizontal centerline. |
| 9. |
| Construct a circle centered at the righthand intersection of circle 8 and the horizontal centerline, passing through the upper (and lower) lefthand angular point of hexagon 2. |
| 10. |
| Copy circle 9 to the intersection of circle 7 and the upper ray 4, and move it (copy and delete original) to its own intersection with the opposite ray 4. |
| 11. |
| Repeat step 10 another five times, with respect to the five other rays 4. |
| 12. |
| Copy circle 5 three times, to the upper lefthand and righthand and the lower angular points of hexagon 2. |
| 13. |
| Construct a circle concentric to the upper lefthand circle 12, tangent to circle 8 at the upper side. |
| 14. |
| Copy circle 13 five times, to the five other angular points of hexagon 2. |
| 15. |
| Draw the connecting line between the upper intersections of circle 10 with the upper lefthand and righthand circles 11. |
| 16. |
| Construct a circle concentric to circle 1, tangent to line 15. |
| 17. |
| Construct a circle centered at the intersection of the righthand side of hexagon 2 and the horizontal centerline, tangent to the upper righthand circle 12 at the lower side. |
| 18. |
| Construct a circle concentric to circle 1, tangent to circle 17 at the righthand side. |
| 19. |
| Construct a "two-points" circle between the intersections of the upper righthand circles 12 and 14 with the righthand side of hexagon 2. |
| 20. |
| Construct a circle concentric to the upper righthand circle 12, passing through the center of circle 19. |
| 21. |
| Copy circle 20 two times, to the centers of the two other circles 12. |
| 22. |
| Construct a circle centered at the righthand intersection of the upper and lower lefthand circles 11, tangent to circle 7 at the righthand side. |
| 23. |
| Construct a circle concentric to circle 1, passing through the righthand intersection of circle 10 and the horizontal centerline. |
| 24. |
| Construct the inscribed hexagon of circle 23, pointing to the right. |
| 25. |
| Copy circle 22 six times, to the intersections of the six rays 4 and the six sides of hexagon 24. |
| 26. |
| Construct a (small) "two-points" circle, between the center of circle 22 and its righthand intersection with the horizontal centerline. |
| 27. |
| Construct a circle concentric to circle 1, passing through the upper intersection of the upper lefthand and righthand circles 11. |
| 28. |
| Construct the inscribed hexagon of circle 27, pointing to the right. |
| 29. |
| Copy circle 26 six times, to the six angular points of hexagon 28. |
| 30. |
| Circles 1, 7, 10, 11, 12, 13, 14, 16, 18, 20, 21, 25 and 29 are used for the final reconstruction. |
| 31. |
| Remove all unnecessary parts, not visible in the formation itself. |
| 32. |
| Colour all areas corresponding to standing... |
| 33. |
| ...or to flattened crop. This will complete the reconstruction of the 2008 North Down formation. |
| 34. |
| The final result, matched with the aerial image. |
| Copyright © 2008, Zef Damen, The Netherlands |
