2015 Foxley Road formation
Notice, that arcs 13, 15, 17, and 18, are a piecewise approximation of a real spiral!
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Reconstruction of the 2015 Foxley Road formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 1 and its righthand intersection with the horizontal centerline. |
| 3. |
| Construct a "two-points" circle between the centers of circles 1 and 2. |
| 4. |
| Copy circle 3 to the center of circle 1. |
| 5. |
| Construct the inscribed square of circle 4, with horizontal and vertical sides. Call the angular points A, B, C, and D, clockwise, starting at the lower lefthand one. |
| 6. |
| Construct a circle centered at point A, passing through point D. |
| 7. |
| Draw a line from point A parallel to the horizontal centerline, extending to the left. See detail. |
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| 8. |
| Construct a circle centered at the intersection of circle 6 and line 7, passing through point D. |
| 9. |
| Copy circle 8 to the lower intersection of square 5 and the vertical centerline. |
| 10. |
| Copy circle 9 twenty times, the first to its lefthand intersection with line 7, the others consecutively to their corresponding intersections, as shown. See detail. |
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| 11. |
| Construct a circle centered at point A, tangent to the leftmost circle 10 at the lefthand side. See detail. |
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| 12. |
| Draw a line from point B parallel to the vertical centerline, extending upward. See detail. |
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| 13. |
| Construct twenty arcs, centered at point A, from the lefthand intersections of circles 10 and line 7 upto line 12, clockwise, as shown. |
| 14. |
| Draw a line from point C parallel to the horizontal centerline, extending to the right. |
| 15. |
| Construct eighteen arcs, centered at point B, from the intersections of arcs 13, except for the two innermost arcs, and line 12 upto line 14, clockwise. |
| 16. |
| Draw a line from point D parallel to the vertical centerline, extending downward. |
| 17. |
| Construct eighteen arcs, centered at point C, from the intersections of arcs 15 and line 14 upto line 16, clockwise. |
| 18. |
| Construct eighteen arcs, centered at point D, from the intersections of arcs 17 and line 16 upto line 7, clockwise. Notice, that arcs 13, 15, 17, and 18, are a piecewise approximation of a real spiral! |
| 19. |
| Construct a circle centered at the intersection of circle 1 and line 12, passing through the intersection of the second smallest arc 13 and line 12. |
| 20. |
| Construct a circle concentric to circle 19, passing through the intersection of the smallest arc 13 and line 12. |
| 21. |
| Construct the inscribed regular 20-sided polygon of circle 11, pointing up. |
| 22. |
| Draw a line from point A to the lefthand angular point of polygon 21, just above the horizontal centerline. See detail. |
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| 23. |
| Circles 1, 19, and 20, arcs 13, 15, 17, and 18, and line 22 are used for the final reconstruction. |
| 24. |
| Remove all parts not visible within the formation itself. |
| 25. |
| Colour all areas corresponding to standing... |
| 26. |
| ...or to flattened crop, and finish the reconstruction of the 2015 Foxley Road formation. |
| 27. |
| The final result, matched with the aerial image. |
| Copyright © 2015, Zef Damen, The Netherlands |
