2009 All Cannings Bridge formation
Copy circle 10 to the intersection of circle 4 and the righthand side of triangle 2, and move it (copy and delete original) to its own corresponding (lower righthand) intersection.
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Reconstruction of the 2009 All Cannings Bridge formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed equilateral triangle of circle 1, pointing up. |
| 3. |
| Construct three more inscribed equilateral triangles of circle 1, pointing to the left, down and to the right, respectively. |
| 4. |
| Construct a circle centered at the top of triangle 2, passing through the adjacent angular points of triangles 3. |
| 5. |
| Copy circle 4 eleven times, to the other angular points of triangles 2 and 3. |
| 6. |
| Construct a circle concentric to circle 1, passing through the innermost mutual intersections of circles 4 and 5. |
| 7. |
| Construct a circle centered at the intersection of the righthand side of triangle 2 and the horizontal centerline, tangent to circle 6 at the righthand side. |
| 8. |
| Copy circle 7 to the righthand intersection of circle 1 and the horizontal centerline. |
| 9. |
| Construct a circle concentric to circle 1, tangent to circle 8 at the lefthand side. |
| 10. |
| Construct a "two-points" circle (defined by the end-points of a centerline), between the center of circle 6 and its upper intersection with the vertical centerline. |
| 11. |
| (In this and following steps, some results of previous steps are removed temporarily for clarity). Copy circle 10 to the intersection of circle 4 and the righthand side of triangle 2, and move it (copy and delete original) to its own corresponding (lower righthand) intersection. |
| 12. |
| Construct a circle concentric to circle 1, passing through the center of circle 11. |
| 13. |
| Construct the inscribed dodecagon (regular 12-sided polygon) of circle 12, with one angular point coincident with the center of circle 11. |
| 14. |
| Copy circle 10 eleven times, to the other angular points of dodecagon 13. |
| 15. |
| Draw the connecting line between the centers of circles 1 and 11, and extend it up to circle 9. |
| 16. |
| Copy circle 7 to the upper righthand intersection of circle 11 and line 15, and move it to its own lower lefthand intersection with line 15. |
| 17. |
| Construct a circle concentric to circle 1, passing through the center of circle 16. |
| 18. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 17, with one angular point coincident with the center of circle 16. |
| 19. |
| Copy circle 7 five times, to the other angular points of hexagon 18. |
| 20. |
| Construct a circle concentric to circle 1, tangent to circle 11 at the lower lefthand side. |
| 21. |
| Construct the inscribed equilateral triangle of circle 20, pointing up. |
| 22. |
| Construct the inscribed circle of triangle 21. |
| 23. |
| Circles 1, 4, 5, 9, 11, 14, 16, 19 and 22 are used for the final reconstruction. |
| 24. |
| Remove all unnecessary parts not visible within the formation itself. |
| 25. |
| Colour all areas corresponding to standing... |
| 26. |
| ...or to flattened plants, and finish the reconstruction of the 2009 All Cannings Bridge formation. |
| 27. |
| The final result, matched with two aerial images. |
| Copyright © 2009, Zef Damen, The Netherlands |
