|
Reconstruction of the 2007 Sugar Hill formation | ||
| 1. | 
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. | 
| Create a hexagram (regular six-pointed star), by constructing two circumscribed equilateral triangles of circle 1, one pointing to the left, one pointing to the right. |
| 3. | 
| Copy circle 1 to its righthand intersection with the horizontal centerline. |
| 4. | 
| Construct a circle concentric to circle 1, tangent to circle 3 at the righthand side. |
| 5. | 
| Construct the circumscribed hexagram of circle 4, in the same way as hexagram 2. |
| 6. | 
| Copy circle 1 to the righthand intersection of circle 3 and the horizontal centerline. |
| 7. | 
| Construct a circle concentric to circle 1, tangent to circle 6 at the righthand side. |
| 8. | 
| Construct the circumscribed hexagram of circle 7, pointing to the right. |
| 9. | 
| Copy circle 1 to the righthand intersection of circle 6 and the horizontal centerline. |
| 10. | 
| Construct a circle concentric to circle 1, tangent to circle 9 at the righthand side. |
| 11. | 
| Construct the circumscribed hexagram of circle 10, pointing to the right. |
| 12. | 
| Copy circle 1 to the righthand intersection of circle 9 and the horizontal centerline. |
| 13. | 
| Construct a circle concentric to circle 1, tangent to circle 12 at the righthand side. |
| 14. | 
| Construct the circumscribed hexagon (regular six-sided polygon) of circle 13, pointing up. |
| 15. | 
| Extend all sides of hexagram 2 (all sides of both triangles) in both directions, up to hexagon 14. |
| 16. | 
| Extend all sides of hexagram 5 in both directions, up to hexagon 14. |
| 17. | 
| Draw the three diagonals through the center of hexagon 14. |
| 18. | 
| Construct the circumscribed circle of hexagon 14. |
| 19. | 
| (For clarity, the results of previous steps are removed temporarily). Construct the inscribed regular 36-sided polygon of circle 18, pointing to the right. Number the angular points counterclockwise, starting at the rightmost one just above the horizontal centerline, as shown. |
| 20. | 
| Draw the diagonal of polygon 19, connecting angular points nrs. 2 and 11. |
| 21. | 
| Extend diagonal 20 to the right, up to the horizontal centerline. |
| 22. | 
| Construct a circle concentric to circle 1, passing through the intersection of line 21 and the horizontal centerline. |
| 23. | 
| Extend diagonal 20 to the left, up to circle 22. |
| 24. | 
| Repeat steps 20, 21 and 23 35 times, for all other corresponding pairs of angular points of polygon 19 (nine angular points apart), as shown. |
| 25. | 
| Construct three circles concentric to circle 1, through the second, third and fourth set (from outside) of mutual intersections of lines 24, as shown. |
| 26. | 
| Construct a "two-points" circle, defined by the end-points of a centerline, with the points at the righthand intersections of hexagon 14 and circle 18 with the horizontal centerline. |
| 27. | 
| Copy circle 26 to the righthand intersection of circle 22 and the horizontal centerline. |
| 28. | 
| Construct a circle concentric to circle 1, tangent to circle 27 at the righthand side. |
| 29. | 
| Triangles (hexagrams) 2, 5, 8 and 11, hexagon 14, lines 15, 16, 17, 21, 23 and 24, and circles 18, 25 and 28 are used for the final reconstruction. |
| 30. | 
| Remove all redundant parts, not visible in the formation itself. |
| 31. | 
| Colour all areas with standing... |
| 32. | 
| ...or with flattened crop, and finish the reconstruction of the 2007 Sugar Hill formation. |
| 33. | 
| The final result, matched with the aerial image. |
| Copyright © 2007, Zef Damen, The Netherlands |
