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Reconstruction of the 2012 Waden Hill 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 end-points of a centerline) between the righthand intersections of circles 1 and 3 with the horizontal centerline. |
| 5. |
| Construct a circle concentric to circle 1, passing through the center of circle 4. |
| 6. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 5, pointing to the right. |
| 7. |
| Copy circle 5 six times, to the angular points of hexagon 6. |
| 8. |
| Copy circle 5 three times, to the upper, lower lefthand, and lower righthand, mutual intersections of circles 7. |
| 9. |
| Copy circle 5 six times, to the outermost intersections of circles 7 and 8. |
| 10. |
| Copy circle 5 six times, to the outermost intersections of circles 8 and 9. |
| 11. |
| Copy circle 3 six times, to the centers of circles 7. |
| 12. |
| From circles 11, remove all redundant parts, such that the shown pattern remains. |
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| 13. |
| Copy pattern 12 nine times, to the centers of circles 7 and 8. |
| 14. |
| Copy circle 1 fifteen times, to the centers of circles 7, 8, and 10. |
| 15. |
| From circles 14, remove all redundant parts, such that the shown pattern remains. |
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| 16. |
| Construct a circle concentric to circle 1, passing through the inner intersections of the parts of pattern 12. |
| 17. |
| Copy circle 16 to its own upper intersection with the vertical centerline. |
| 18. |
| Construct a circle concentric to circle 1, tangent to circle 17 at the upper side. |
| 19. |
| Construct a circle concentric to circle 1, tangent to circles 10 at the outer sides. |
| 20. |
| Copy circle 18 to the upper intersection of circle 19 and the vertical centerline, and move this circle (copy and delete original) to its own corresponding intersection. |
| 21. |
| Copy circle 16 to the center of circle 20. |
| 22. |
| Construct a circle concentric to circle 1, passing through the center of circle 21. |
| 23. |
| Construct the inscribed equilateral triangle of circle 22, pointing up. |
| 24. |
| Copy circles 16 and 18 two times, to the lower angular points of triangle 23. |
| 25. |
| Patterns 12, 13 and 15, and circles 20, 21 and 24, make up the final reconstruction. |
| 26. |
| Colour all areas corresponding to standing... |
| 27. |
| ...or to flattened crop, and finish the reconstruction of the 2012 Waden Hill formation. |
| 28. |
| The final result, matched with the aerial image. |
| Copyright © 2012, Zef Damen, The Netherlands |