|
Reconstruction of the 2009 Waden Hill (2) formation (partly) | ||
| 1. |
| Draw a circle. Draw the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed heptagon (regular 7-sided polygon) of circle 1, pointing up. |
| 3. |
| Draw the seven rays of heptagon 2, from the center of circle 1 to the angular points. Number these rays and/or the angular points 1 through 7 counterclockwise, beginning with the righthand one just above the horizontal centerline. |
| 4. |
| Draw the connecting line between the angular points of heptagon 2 nrs. 4 and 7. |
| 5. |
| Construct a circle concentric to circle 1, tangent to line 4. |
| 6. |
| Copy circle 5 to the top of heptagon 2. |
| 7. |
| Construct a circle concentric to circle 1, tangent to circle 6 at the lower side. |
| 8. |
| Copy circle 5 seven times, to the intersections of circle 7 and rays 3. |
| 9. |
| Draw the connecting line between the intersections of circle 5 and rays 3 nrs. 1 and 3. |
| 10. |
| Construct a circle concentric to circle 1, tangent to line 9. |
| 11. |
| Construct the inscribed heptagon of circle 1, pointing down. |
| 12. |
| Draw the seven rays of heptagon 11, from the center of circle 1 to the angular points. Number these rays 8 through 14 counterclockwise, beginning with the righthand one just above the horizontal centerline. |
| 13. |
| Copy circle 10 to the intersection of the lower side of heptagon 2 and ray 12 nr. 13, and move this circle (copy and delete original) to its own intersection with this ray. |
| 14. |
| Repeat step 13 six times, for the other rays 12 and sides of heptagon 2, as shown. |
| 15. |
| Draw the connecting line between the intersections of circle 10 and rays 3 nrs. 4 and 7. |
| 16. |
| Construct a circle concentric to circle 1, tangent to line 15. |
| 17. |
| Draw a line from the center of circle 1, tangent to the lower lefthand circle 8 at the righthand side, and extend this line up to circle 1. |
| 18. |
| Copy circle 16 to the intersection of the lower side of heptagon 2 and line 17. |
| 19. |
| Draw a line from the center of circle 1, tangent to the lower righthand circle 8 at the lefthand side, and extend this line up to circle 1. |
| 20. |
| Copy circle 16 to the intersection of the lower side of heptagon 2 and line 19. |
| 21. |
| Copy circle 16 twelve more times, to the corresponding positions of circles 18 and 20, with respect to the other sides of heptagon 2, as shown. |
| 22. |
| Construct the inscribed heptagon of circle 16, pointing up. |
| 23. |
| Construct the inscribed circle of heptagon 22. |
| 24. |
| Construct a circle concentric to circle 1, passing through the inner mutual intersections of circles 8 and 14. |
| 25. |
| Construct the inscribed regular 28-sided polygon of circle 24, with one angular point coincident with the righthand intersection of circle 24 and line 4. |
| 26. |
| Copy circle 23 twenty-eight times, to the angular points of polygon 25. |
| 27. |
| Draw the connecting line between the intersections of circle 23 with ray 3 nr. 1 and ray 12 nr. 14. |
| 28. |
| Construct a circle concentric to circle 1, passing through the intersection of ray 12 nr. 8 and line 27. |
| 29. |
| Draw the connecting line between the intersections of circle 16 and rays 12 nrs. 8 and 11. |
| 30. |
| Construct a circle concentric to circle 1, tangent to line 29. |
| 31. |
| Copy circle 30 forty-two times, to the centers of circles 18, 20, 21 and 26. |
| 32. |
| Construct a circle centered at the righthand intersection of circle 16 and the horizontal centerline, tangent to this circle at the lefthand side. |
| 33. |
| Copy circle 32 twenty-eight times, to the centers of circles 26. |
| 34. |
| Circles 8, 13, 14, 18, 20, 21, 26, 28, 31 and 33 are used for the final reconstruction. |
| 35. |
| Remove all parts not visible within the formation itself. |
| 36. |
| Colour all areas corresponding to standing... |
| 37. |
| ...or to flattened crop, and finish the reconstruction of the 2009 Waden Hill (2) formation (without the inner details). |
| 38. |
| The final result, matched with the aerial image. |
| Copyright © 2009, Zef Damen, The Netherlands |