2023 Allen King Way formation
|
Reconstruction of the 2023 Allen King Way 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 the inscribed equilateral triangle of circle 1, pointing to the right. |
| 4. |
| Construct the inscribed equilateral triangle of circle 1, pointing down. |
| 5. |
| Construct the inscribed equilateral triangle of circle 1, pointing to the left. |
| 6. |
| Draw all twenty-four rays of circle 1, from the center to the angular points and through the outer mutual intersections of triangles 2, 3, 4, and 5. Number the rays, clockwise, 1 - 24, beginning at the top. |
| 7. |
| Construct a circle concentric to circle 1, passing through the outer mutual intersections of triangles 2, 3, 4, and 5. |
| 8. |
| Construct a circle centered at the intersection of circle 7 and ray 6 nr. 1, tangent to the upper lefthand side of triangle 5. |
| 9. |
| Construct the circumscribed square of circle 8, with the sides horizontally and vertically. |
| 10. |
| Construct the circumscribed circle of square 9. |
| 11. |
| Construct a circle concentric to circle 1, tangent to circle 10 at the lower side. |
| 12. |
| Copy circle 10 to the center of circle 1. |
| 13. |
| Construct a circle centered at the lower righthand angular point of square 9, tangent to circle 7 at the near side. |
| 14. |
| Copy circle 13 twelve times, to the intersections of circle 11 and all odd-numbered rays 6. |
| 15. |
| Construct the inscribed equilateral triangle of circle 7, pointing down. |
| 16. |
| Construct a circle concentric to circle 1, passing through the intersection of triangle 15 and ray 6 nr. 2. |
| 17. |
| Construct a circle centered at the intersection of triangle 4 and ray 6 nr. 1, tangent to circle 10 at the lower side. |
| 18. |
| Copy circle 17 twelve times, to the intersections of circle 16 and all even-numbered rays 6. |
| 19. |
| Construct a circle centered at the upper intersection of circle 8 and ray 6 nr. 1, tangent to circle 10 at the upper side. Move this circle (copy and delete original) to the center of circle 8. |
| 20. |
| Construct a circle concentric to circle 1, tangent to circle 19 at the upper side. |
| 21. |
| Construct a circle, passing through the lefthand and righthand intersections of circle 1 and the horizontal centerline, and tangent to circle 20 at the upper side. |
| 22. |
| Construct a circle concentric to circle 21, tangent to circle 7 at the upper side. |
| 23. |
| Construct a (small) circle, tangent to the upper sides of triangles 3 and 5, and tangent to circle 11 at the upper side, and outside of it. |
| 24. |
| Copy circle 23 twenty-four times, to the intersections of circle 1 and all rays 6. |
| 25. |
| Construct twelve pairs of parallel lines, parallel to rays 6, tangent to opposite circles 24 at both sides, as shown. |
| 26. |
| Remove all redundant parts from circles 11, 12, 14, and 18, and lines 25, such that... |
| 27. |
| ...this pattern remains. |
| 28. |
| Triangles 2, 3, 4, and 5, circles 7, 20, 21, and 22, and pattern 27, are used for the final reconstruction. |
| 29. |
| Remove all parts not visible within the formation itself. |
| 30. |
| Colour all areas corresponding to standing... |
| 31. |
| ...or to flattened crop, and finish the reconstruction of the 2023 Allen King Way formation. |
| 32. |
| The final result, matched with the aerial image. |
| Copyright © 2023, Zef Damen, The Netherlands |
|
|
||
|
|
||
