2007 Stantonbury Hill formation
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Reconstruction of the 2007 Stantonbury Hill formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the circumscribed regular 96-sided polygon of circle 1, with the midpoint of a side on the horizontal centerline. Number the angular points counterclockwise 1 through 96, starting at the rightmost point just above the horizontal centerline, as shown. |
| 3. |
| Draw six pairs of diagonals of polygon 2, by connecting angular points nrs. 1 and 48, 49 and 96, 8 and 57, 9 and 56, 16 and 65, 17 and 64, 24 and 73, 25 and 72, 32 and 81, 33 and 80, 40 and 89, and 41 and 88. |
| 4. |
| Construct a circle centered at the intersection of the vertical centerline and diagonal 3 from 49 to 96, tangent to diagonals 3 from 9 to 56 and from 40 to 89. See detail. |
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| 5. |
| Copy circle 4 to the lefthand intersection of circle 1 and the horizontal centerline. |
| 6. |
| Copy circle 4 eight more times, to the lefthand intersection of circle 5 and to the corresponding intersections of consecutively copied circles, all with the horizontal centerline, as shown. |
| 7. |
| Construct nine circles, all concentric to circle 1, tangent to circle 5 and consecutive circles 6, all at the lefthand sides, as shown. |
| 8. |
| Extend diagonals 3 up to outer circle 7. |
| 9. |
| Draw six rays of polygon 2, from the center of circle 1 to angular points nrs. 2 through 7. |
| 10. |
| Extend rays 9 up to outer circle 7. |
| 11. |
| Repeat step 9 for the other eleven sectors of polygon 2, formed by diagonals 3, as shown. |
| 12. |
| Repeat step 10 for rays 11. |
| 13. |
| Construct a "two-points" circle, whose end-points of a centerline coincide with the center of circle 1 and its righthand intersection with the horizontal centerline, as shown. |
| 14. |
| Construct a similar circle, whose end-points of a centerline coincide with the center of circle 1 and its lefthand intersection with the horizontal centerline. |
| 15. |
| Construct a circle concentric to circle 1, passing through the intersections of circles 13 and 14 and the vertical diagonals 3, as shown. |
| 16. |
| Copy circle 15 two times, to the centers of circles 13 and 14. |
| 17. |
| Construct a circle, passing through the intersections of extensions 10 of rays 9 nrs. 4 and 5 and the second and third smallest circles 7, as shown. See detail. |
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| 18. |
| Construct a circle concentric to circle 1, passing through the center of circle 17. |
| 19. |
| Construct a circle centered at the intersection of extension 10 of ray 9 nr. 4 and circle 18, tangent to circle 17 at the lower side. |
| 20. |
| Copy circle 19 to the center of circle 17. |
| 21. |
| Copy circles 17 and 20 as a whole eleven times, to the corresponding positions within the other eleven sectors, as shown. |
| 22. |
| Circles 1, 7, 13, 14, 16, 17, 20 and 21, and lines 8, 10 and 12, are used for the final reconstruction. |
| 23. |
| Remove everything not present in the formation itself. |
| 24. |
| Colour all areas of standing... |
| 25. |
| ...or of flattened crop, and finish the reconstruction of the 2007 Stantonbury Hill formation. |
| 26. |
| The final result, matched with the aerial image. |
| Copyright © 2007, Zef Damen, The Netherlands |
