2007 East Field formation
|
Reconstruction of the 2007 East Field formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed hexagram (regular 6-pointed star) of circle 1, by constructing two inscribed equilateral triangles, one pointing to the left, one to the right. |
| 3. |
| Construct the inscribed circle of (the hexagon - regular 6-sided polygon - enclosed by) hexagram 2. |
| 4. |
| Construct the inscribed hexagram of hexagram 2, by constructing two inscribed equilateral triangles, one pointing up, one down, as shown. |
| 5. |
| Construct the circumscribed circle of the hexagon enclosed by hexagram 4. |
| 6. |
| Construct the circumscribed hexagon of circle 5, pointing up. |
| 7. |
| Construct the inscribed hexagram of hexagon 6, by constructing two inscribed equilateral triangles, one pointing up, one down, as shown. |
| 8. |
| Construct the circumscribed circle of the hexagon enclosed by hexagram 7. |
| 9. |
| Copy circle 8 to the lefthand intersection of circle 3 and the horizontal centerline. |
| 10. |
| Construct a circle concentric to circle 1, tangent to circle 9 at the lefthand side. |
| 11. |
| Construct the inscribed hexagram of circle 5, by constructing two inscribed equilateral triangles, one pointing to the left, one to the right. |
| 12. |
| Construct the inscribed circle of hexagram 11. |
| 13. |
| Construct the inscribed equilateral triangle of circle 12, pointing to the left. |
| 14. |
| Construct a circle centered at the righthand intersection of circle 10 and the horizontal centerline, tangent to circle 12 at the righthand side. |
| 15. |
| Copy circle 14 to the intersection of the righthand side of triangle 13 and the horizontal centerline. |
| 16. |
| Draw the three rays of triangle 13, from its center to its angular points, and extend these to outside circle 1. |
| 17. |
| Construct a circle concentric to circle 1, tangent to circle 15 at the lefthand side. |
| 18. |
| Copy circle 14 three times, to the intersections of rays 16 and circle 17. |
| 19. |
| Construct a circle concentric to circle 1, tangent to the lefthand circle 18 at the lefthand side. |
| 20. |
| Construct a (small) circle centered at the lefthand intersection of circle 3 and the horizontal centerline, tangent to circle 17 at the lefthand side. |
| 21. |
| Copy circle 20 to the lefthand intersection of circle 5 and the horizontal centerline. |
| 22. |
| Construct a circle concentric to circle 1, tangent to circle 21 at the lefthand side. |
| 23. |
| Copy circle 20 to the lefthand intersection of circle 10 and the horizontal centerline. |
| 24. |
| Construct a circle concentric to circle 1, tangent to circle 23 at the righthand side. |
| 25. |
| Construct a circle, passing through the three mutual inner intersections of circles 18. |
| 26. |
| Construct a (small) "two-points" circle (defined by the two end-points of a centerline), by the lefthand intersections of circles 3 and 17 with the lefthand ray 16. Repeat this two more times for the other rays 16, as shown. |
| 27. |
| Copy circle 25 three times, to the centers of circles 26. |
| 28. |
| Copy circle 25 another three times, to the outward intersections of circles 27 and rays 16. Move these circles (copy and delete original) to their own corresponding intersections, as shown. |
| 29. |
| Construct a circle centered at the intersection of circle 1 and the lefthand ray 16, tangent to the lefthand circle 28 at the lefthand side. Repeat this two more times relative to the other rays 16 and the corresponding sides of the other circles 28, as shown. |
| 30. |
| Construct a circle centered at the righthand intersection of lefthand circle 18 and the horizontal centerline, tangent to circle 25 at the righthand side. |
| 31. |
| Copy circle 30 to the lefthand intersection of lefthand circle 29 and lefthand ray 16. Move this circle to its own corresponding intersection. Repeat this two more times relative to the other rays 16 and the corresponding sides of the other circles 29, as shown. |
| 32. |
| Repeat step 31 with respect to rays 16 and circles 31, as shown. |
| 33. |
| Only circles 1, 3, 5, 10, 17, 18, 19, 22, 24, 27, 28, 29, 31 and 32 are necessary for the final reconstruction. |
| 34. |
| Remove everything not visible in the formation itself. |
| 35. |
| Colouring all areas with standing... |
| 36. |
| ...or with flattened crop, will finish the reconstruction of the 2007 East Field formation. |
| 37. |
| The final result, matched with the aerial image. |
| Copyright © 2007, Zef Damen, The Netherlands |
