2016 Gerlingerstraße (Germany) formation
Construct a circle concentric to circle 1, tangent to line 16.
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Reconstruction of the 2016 Gerlingerstraße (Germany) formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct two inscribed equilateral triangles of circle 1, one pointing up, one pointing down. |
| 4. |
| Construct a circle concentric to circle 1, passing through the mutual intersections of triangles 3. |
| 5. |
| Construct a circle centered at the lower angular point of hexagon 2, tangent to circle 4 at the lower side. |
| 6. |
| Copy circle 5 five times, to the other angular points of hexagon 2. |
| 7. |
| Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 5 and its intersection (tangent point) with circle 4. |
| 8. |
| Copy circle 7 to the center of circle 1. |
| 9. |
| Construct a circle centered at the lower intersection of circle 8 and the vertical centerline, tangent to circle 8 at the upper side. |
| 10. |
| Construct the inscribed hexagon of circle 8, pointing up. |
| 11. |
| Copy circle 9 five times, to the other angular points of hexagon 10. |
| 12. |
| Construct a circle concentric to circle 5, tangent to circle 9 at the lower side. |
| 13. |
| Copy circle 12 to the center of circle 9. |
| 14. |
| Copy circle 12 five more times, to the centers of circles 6. |
| 15. |
| Copy circle 12 again five more times, to the centers of circles 11. |
| 16. |
| Draw the connecting line between the intersections of circles 5 and 9. |
| 17. |
| For clarity reasons, some of the results of previous steps are temporarily removed. Construct a circle concentric to circle 1, tangent to line 16. |
| 18. |
| Construct the inscribed hexagon of circle 17, pointing down. |
| 19. |
| Copy circles 5 and 12 six times, to the angular points of hexagon 18. |
| 20. |
| Construct a "two-points" circle, between the center of circle 1 and the upper intersection of circle 13 and the vertical centerline. |
| 21. |
| Copy circle 20 six times, to the angular points of hexagon 2. |
| 22. |
| Circles 5, 6, 9, 11, 12, 13, 14, 15, 19, and 21, are used for the final reconstruction. |
| 23. |
| Remove all parts not visible within the formation itself. |
| 23. |
| Colour all areas corresponding to standing... |
| 25. |
| ...or to flattened crop, and finish the reconstruction of the 2016 Gerlingerstraße (Germany) formation. |
| 26. |
| The final result, matched with the aerial image. |
| Copyright © 2016, Zef Damen, The Netherlands |
