2025 Falkner's Circle formation
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Reconstruction of the 2025 Falkner's Circle formation | ||
| 1. |
| Draw a circle. Draw the horizontal and vertical centerlines. |
| 2. |
| Construct two inscribed pentagons (regular 5-sided polygons) of circle 1, one pointing up, one down. |
| 3. |
| Construct the inscribed decagon (regular 10-sided polygon) of circle 1, pointing up. |
| 4. |
| Construct the inscribed circle of decagon 3. |
| 5. |
| Construct a circle, passing through the mutual intersections of pentagons 2. |
| 6. |
| Construct two inscribed pentagons of circle 5, one pointing to the left, one to the right. |
| 7. |
| Construct the inscribed circle of pentagons 6. |
| 8. |
| Construct two inscribed pentagons of circle 7, one pointing to the left, one to the right. |
| 9. |
| Draw the ten diagonals of the decagon enclosed by pentagons 8, from each angular point to every third consecutive angular point, as shown. |
| 10. |
| Construct the inscribed circle of diagonals 9. |
| 11. |
| Construct a circle, passing through the mutual intersections of pentagons 8. |
| 12. |
| Construct two inscribed pentagons of circle 11, one pointing up, one down. |
| 13. |
| Construct a circle, passing through the mutual intersections of pentagons 12. |
| 14. |
| Draw two lines, from the upper intersection of circle 13 and the vertical centerline, to the two mutual intersections of pentagons 12, just below the horizontal centerline. |
| 15. |
| Construct a circle concentric to circle 1, tangent to lines 14. |
| 16. |
| From lines 14, remove all parts, except for the parts above circle 10. |
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| 17. |
| Copy and rotate lines 16 nine times, with respect to the other angular points of pentagons 2. |
| 18. |
| Construct a circle, tangent to the lefthand vertical side of pentagons 8, and tangent to the lefthand sides of pentagons 2, as shown. |
| 19. |
| Construct a circle concentric to circle 1, passing through the center of circle 18. |
| 20. |
| Construct a circle, tangent to circle 13 at the righthand side, and tangent to the righthand sides of pentagons 2, as shown. |
| 21. |
| Copy circle 20 to the center of circle 1. |
| 22. |
| Copy circle 20 to the righthand intersection of circle 19 and the horizontal centerline. |
| 23. |
| Copy circle 20 to the center of circle 18. |
| 24. |
| Construct the "two-points circle" (defined by the two end-points of a centerline) between the lefthand intersections of circles 18 and 23 with the horizontal centerline. |
| 25. |
| Copy circle 24 to the center of circle 22. |
| 26. |
| Construct two parallel lines, parallel to the horizontal centerline, tangent to circles 24 and 25 at both sides. |
| 27. |
| From lines 26, remove all parts, except for the parts in between circle 10 and circles 18 and 22, as shown. |
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| 28. |
| Copy and rotate circles 18 and 22, and lines 27, four times, with respect to the other angular points of pentagons 8, as shown. |
| 29. |
| Circles 1, 4, 10, 15, 18, 21, 22, lines 16, 17, and 27, and pattern 28, are used for the final reconstruction. |
| 30. |
| Remove all parts not visible within the formation itself. |
| 31. |
| Colour all areas corresponding to standing... |
| 32. |
| ...or to flattened crop, and finish the reconstruction of the 2025 Falkner's Circle formation. |
| 33. |
| The final result, matched with two aerial images. |
| Copyright © 2025, Zef Damen, The Netherlands |
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