2007 Abbots Down formation
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Reconstruction of the 2007 Abbots Down formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed dodecagon (regular 12-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct the inscribed circle of dodecagon 2. |
| 4. |
| Construct a "two-points" circle (defined by the two endpoints of a centerline), by the upper intersections of circles 1 and 3, both with the vertical centerline. See detail. |
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| 5. |
| Construct a circle concentric to circle 1, passing through the center of circle 4. See detail. |
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| 6. |
| Construct the circumscribed hexagon (regular 6-sided polygon) of circle 5, pointing to the right. See detail. |
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| 7. |
| Construct the circumscribed circle of hexagon 6. |
| 8. |
| Draw the two vertical diagonals of dodecagon 2, adjacent to the vertical centerline, as shown. |
| 9. |
| Copy circle 4 to the intersection of the righthand diagonal 8 and the horizontal centerline. |
| 10. |
| Copy circle 4 to the intersection of the lefthand diagonal 8 and the horizontal centerline. |
| 11. |
| Construct a circle, passing through the center of circle 4, tangent to circle 9 at the lefthand side, and passing through the intersection of the lower side of hexagon 6 and the vertical centerline. See details. |
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| 12. |
| Construct a circle, passing through the center of circle 4, tangent to circle 10 at the righthand side, and passing through the intersection of the lower side of hexagon 6 and the vertical centerline. |
| 13. |
| Construct a circle concentric to circle 11, tangent to circle 9 at the righthand side. |
| 14. |
| Construct a circle concentric to circle 12, tangent to circle 10 at the lefthand side. |
| 15. |
| Copy circle 4 to the center of circle 1. |
| 16. |
| Copy circle 4 to the righthand intersection of circle 15 and the horizontal centerline. Move it (copy and delete original) to its own corresponding intersection. See detail. |
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| 17. |
| Construct a circle concentric to circle 1, tangent to circle 16 at the righthand side. |
| 18. |
| Copy circle 17 to the center of circle 9. |
| 19. |
| Construct a circle concentric to circle 11, tangent to circle 18 at the lefthand side. |
| 20. |
| Construct a circle concentric to circle 11, tangent to circle 18 at the righthand side. |
| 21. |
| Draw the two horizontal diagonals of dodecagon 2, adjacent to the horizontal centerline, as shown. |
| 22. |
| Copy circle 4 two times, to the intersections of diagonals 21 and the vertical centerline. |
| 23. |
| Copy circle 17 two times, to the centers of circles 22. |
| 24. |
| Draw two vertical lines, tangent to circles 22 at both sides, and extend these onto circle 1 into both directions, as shown. |
| 25. |
| Draw a vertical line, tangent to circles 23 at the righthand sides, and extend it onto circle 1 into both directions, as shown. |
| 26. |
| Draw two horizontal lines, tangent to circle 15 at both sides, and extend these onto circle 1 into both directions. |
| 27. |
| Draw two horizontal lines, tangent to circle 17 at both sides, and extend these to the right onto circle 1. |
| 28. |
| Draw four horizontal lines, tangent to circles 22 at both sides, and extend these onto circle 1 into both directions, as shown. |
| 29. |
| Draw four horizontal lines, tangent to circles 23 at both sides, and extend these to the right onto circle 1. |
| 30. |
| Only circles 1, 3, 7, 11, 12, 13, 14, 19 and 20, and lines 24, 25, 26, 27, 28 and 29 are necessary for the final reconstruction. |
| 31. |
| Leave out everything not visible within the formation itself. |
| 32. |
| Colour all areas of standing... |
| 33. |
| ...or flattened crop, and finish the reconstruction of the 2007 Abbots Down formation. |
| 34. |
| The final result, matched with the aerial image. |
| Copyright © 2007, Zef Damen, The Netherlands |
