|
Reconstruction of the 2009 Honey Street (phase 2) formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the circumscribed pentagon (regular 5-sided polygon) of circle 1, pointing down. |
| 3. |
| Construct the circumscribed circle of pentagon 2. |
| 4. |
| Construct the circumscribed pentagon of circle 3, pointing up. |
| 5. |
| Draw the five rays of pentagon 4, from the center of circle 1 to the angular points. |
| 6. |
| Copy circle 1 to the top of pentagon 4, and move this circle (copy and delete original) to its own lower intersection with the vertical centerline. |
| 7. |
| Construct a circle concentric to circle 1, passing through the intersections of the two lower rays 5 and circle 6. |
| 8. |
| Construct a "two-points" circle (defined by the end-points of a centerline) between the upper intersection of circle 6 and the lower intersection of circle 7, both with the vertical centerline. |
| 9. |
| Construct a circle concentric to circle 8, tangent to circle 6 at the lower side. |
| 10. |
| Construct a circle centered at the lower intersection of circle 9 and the vertical centerline, tangent to circle 8 at the lower side. |
| 11. |
| Copy circle 10 two times, the first to its upper intersection with the vertical centerline, the second to the corresponding intersection of the first. |
| 12. |
| Construct three circles concentric to circle 8, tangent to circles 10 and 11 at the upper sides. |
| 13. |
| Copy circle 10 three times, the first to its lower intersection with the vertical centerline, the subsequent circles to the corresponding intersection of the previous copied circle, as shown. |
| 14. |
| Construct three circles concentric to circle 8, tangent to circles 13 at the lower sides. |
| 15. |
| Construct a circle concentric to circle 1, passing through the center of circle 8. |
| 16. |
| Copy circles 8, 9, 12 and 14 four times, to the intersections of circle 15 and the other rays 5, as shown. |
| 17. |
| Remove all parts from circles 8, 9, 12, 14 and 16 not visible within the formation itself. |
| 18. |
| Construct a "two-points" circle between the lower intersections of the two inner circles 14 with the vertical centerline. |
| 19. |
| Copy circle 18 to the top of pentagon 4. |
| 20. |
| Construct a circle concentric to circle 1, tangent to circle 19 at the upper side. |
| 21. |
| Copy innermost circle 12 to the center of circle 1. |
| 22. |
| Copy circle 10 to the lower intersection of circle 21 and the vertical centerline. |
| 23. |
| Construct a circle concentric to circle 1, tangent to circle 22 at the upper side. |
| 24. |
| Construct a circle concentric to circle 1, tangent to circle 22 at the lower side. |
| 25. |
| Construct a circle centered at the upper intersection of circle 23 and the vertical centerline, tangent to circle 24 at the upper side. |
| 26. |
| Construct a "two-points" circle between the center of circle 18 and its upper intersection with the vertical centerline. |
| 27. |
| Construct a circle concentric to the upper circle 13, passing through the center of circle 26. |
| 28. |
| Copy circle 8 and the innermost circle 14 to the center of circle 1. |
| 29. |
| Draw the five rays of pentagon 2, from the center of circle 1 to the angular points. |
| 30. |
| Construct a "two-points" circle between the intersections of circles 28 and the upper righthand ray 29. |
| 31. |
| Copy circle 27 to the center of circle 30. |
| 32. |
| Construct a "two-points" circle between the intersections of circle 23 with the upper ray 5 and the upper righthand ray 29. |
| 33. |
| Construct a circle concentric to circle 32, tangent to circle 23 at the upper righthand side. |
| 34. |
| Copy circle 33, while mirroring it with respect to the vertical centerline. |
| 35. |
| Construct a circle concentric to circle 1, passing through the center of circle 18. |
| 36. |
| Copy circle 33 to the intersection of circle 35 and the upper righthand ray 29. |
| 37. |
| Copy circle 26 five times, to the centers of circles 25, 31, 33, 34 and 36. |
| 38. |
| Copy circles 25, 31, 33, 34, 36 and 37 as a whole four times, to the corresponding positions with respect to the other rays 5, while rotating about the center of circle 1, as shown. |
| 39. |
| Circles 20, 25, 31, 33, 34, 36 and 37, and patterns 17 and 38 make up the final reconstruction. |
| 40. |
| Colour all areas corresponding to standing... |
| 41. |
| ...or to flattened crop, and finish the reconstruction of the 2009 Honey Street (phase 2) formation. |
| 42. |
| The final result, matched with the aerial image. |
| Copyright © 2009, Zef Damen, The Netherlands |