2023 Lane End Down formation
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Reconstruction of the 2023 Lane End Down formation | ||
| 1. |
| Draw a circle. Draw the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct the inscribed hexagon of circle 1, pointing to the right. |
| 4. |
| Draw the twelve rays from the center of circle 1 to the angular points of hexagons 2 and 3. |
| 5. |
| Draw the twelve connecting lines from the center of circle 1 to the mutual intersections of hexagons 2 and 3, and extend these lines up to circle 1. Number the rays 4 and 5, clockwise, 1 - 24, starting at the top. |
| 6. |
| Construct a circle, tangent to rays nrs. 6 and 8, and tangent to circle 1. |
| 7. |
| Construct a circle, tangent to rays nrs. 6 and 8, and tangent to the upper righthand side of hexagon 3. |
| 8. |
| Construct the "two-points" circle (defined by the two end-points of a centerline) between the centers of circles 6 and 7. |
| 9. |
| Construct a circle concentric to circle 1, passing through the center of circle 8. |
| 10. |
| Construct a circle centered at the intersection of circle 9 and ray nr. 1, tangent to circle 1 at the upper side. |
| 11. |
| Construct a circle concentric to circle 10, tangent to the upper righthand side of hexagon 2. |
| 12. |
| Construct a circle concentric to circle 10, passing through the intersection of the upper righthand side of hexagon 2 and ray nr. 2. |
| 13. |
| Construct a circle concentric to circle 1, tangent to circle 12 at the lower side. |
| 14. |
| Copy circle 10 to the center of circle 1. |
| 15. |
| Copy circle 13 to the intersection of the righthand side of hexagon 2 and ray nr. 6. |
| 16. |
| Construct a circle concentric to circle 1, tangent to circle 15 at the lefthand side. |
| 17. |
| Construct a circle centered at the upper intersection of circle 11 and ray nr. 1, tangent to circle 10 at the upper side. |
| 18. |
| Construct a circle concentric to circle 10, tangent to circle 17 at the lower side. |
| 19. |
| Copy circle 17 to the upper intersection of circle 18 and ray nr. 1. |
| 20. |
| Construct a circle concentric to circle 10, tangent to circle 19 at the lower side. |
| 21. |
| Copy circle 17 to the upper intersection of circle 20 and ray nr. 1. |
| 22. |
| Construct a circle concentric to circle 10, tangent to circle 21 at the lower side. |
| 23. |
| Copy circle 17 to the upper intersection of circle 22 and ray nr. 1. |
| 24. |
| Construct a circle concentric to circle 10, tangent to circle 23 at the lower side. |
| 25. |
| Copy circles 18, 20, 22, and 24, to the intersection of circle 13 and ray nr. 1. |
| 26. |
| Construct two concentric circles centered at the intersection of the upper side of hexagon 3 and ray nr. 1, tangent to circles 18 and 20, at the upper sides. |
| 27. |
| Copy circles 26 to the intersection of circle 16 and ray nr. 1. |
| 28. |
| Construct the "two-points" circle between the intersection of circle 14, and the lower intersection of the outer circle 27, both with ray nr. 1. |
| 29. |
| Construct a circle concentric to circle 28, tangent to the inner circle 27 at the lower side. |
| 30. |
| Construct three concentric circles centered at the intersection of circle 13 and ray nr. 3, tangent to the outer three circles 25 at the righthand sides. |
| 31. |
| Construct a circle centered at the upper intersection of the innermost circle 30 and ray nr. 3, tangent to the next inner circle 30 at the near side. |
| 32. |
| Construct a circle concentric to circles 30, tangent to circle 31 at the lower side. |
| 33. |
| Copy circle 20 to the center of circle 1. |
| 34. |
| Construct a circle concentric to circle 1, passing through the center of circle 28. |
| 35. |
| Repeat all necessary steps to copy and rotate circles 10, 11, 18, 20, 25, 30, and 32, five times, with respect to the other angular points of hexagon 2. |
| 36. |
| Repeat all necessary steps to copy and rotate circles 27, 28, and 29, eleven times, with respect to all other odd-numbered rays 4 and 5. |
| 37. |
| Circles 10, 11, 18, 20, 25, 27, 29, 30, 32, 33, 34, 35, and 36, are used for the final reconstruction. |
| 38. |
| Remove all parts not visible within the formation itself. |
| 39. |
| Colour all areas corresponding to standing... |
| 40. |
| ...or to flattened crop, and finish the reconstruction of the 2023 Lane End Down formation. |
| 41. |
| The final result, matched with two aerial images, one rotated 180°. |
| Copyright © 2023, Zef Damen, The Netherlands |
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