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Reconstruction of the 2014 Ackling Dyke formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed pentagon (regular 5-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct the inscribed circle of pentagon 2. |
| 4. |
| Construct the inscribed pentagon of circle 3, pointing down. |
| 5. |
| Draw the diagonal between the leftmost and rightmost angular points of pentagon 2. |
| 6. |
| Construct a circle concentric to circle 1, tangent to diagonal 5. |
| 7. |
| Copy circle 6 five times, to the angular points of pentagon 2. |
| 8. |
| Construct the inscribed pentagon of circle 6, pointing up. |
| 9. |
| Draw the diagonal between the leftmost and rightmost angular points of pentagon 8. |
| 10. |
| Construct a circle concentric to circle 1, tangent to diagonal 9. |
| 11. |
| Copy circle 10 five times, to the centers of circles 7. |
| 12. |
| Construct a circle centered at the lower angular point of pentagon 4, tangent to the lower righthand circle 7 at the lefthand side. |
| 13. |
| Copy circle 12 to the center of circle 1. |
| 14. |
| Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 12 and its lower intersection with the vertical centerline. |
| 15. |
| Copy circle 14 to the center of circle 1. |
| 16. |
| Copy circle 14 five times, to the angular points of pentagon 4. |
| 17. |
| Draw the five rays of pentagon 4, from the center of circle 1 to its angular points. |
| 18. |
| Construct a "two-points" circle between the center of the lower circle 16 and its lower intersection with the vertical centerline. |
| 19. |
| Copy circle 18 five times, to the intersections of circle 13 and rays 17. |
| 20. |
| Construct a circle centered at the upper intersection of upper circle 11 and the vertical centerline, tangent to upper circle 7 at the upper side. |
| 21. |
| Repeat step 20 four times, with respect to the other circles 11 and 7. |
| 22. |
| Draw two connecting lines, between the center of lower circle 16 and the centers of leftmost and rightmost circles 19. |
| 23. |
| Construct a circle centered at the upper intersection of circle 13 and the vertical centerline, tangent to circle 6 at the upper side. |
| 24. |
| Copy circle 23 three times, to the end-points of lines 22. |
| 25. |
| Construct two lines, parallel to lines 22 at the inner sides, tangent to circles 24, as shown. |
| 26. |
| Repeat steps 22 and 25 four times, with respect to the other circles 16 and 19. |
| 27. |
| Construct a "two-points" circle between the center of the lower circle 24 and its lower intersection with the vertical centerline. |
| 28. |
| Copy circle 27 to the center of circle 1. |
| 29. |
| Construct two parallel lines, tangent to circles 27 and 28 at both sides, and extend these lines upward upto circle 1. See detail. |
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| 30. |
| Repeat step 29 four times, with respect to the other circles 11 and 16, as shown. |
| 31. |
| Circles 7, 11, 15, 16, 19, 20 and 21, and lines 22, 25, 26, 29 and 30, are used for the final reconstruction. |
| 32. |
| Remove all parts not visible within the formation itself. |
| 33. |
| Colour all areas corresponding to standing... |
| 34. |
| ...or to flattened crop, and finish the reconstruction of the 2014 Ackling Dyke formation. |
| 35. |
| The final result, matched with the aerial image. |
| Copyright © 2014, Zef Damen, The Netherlands |