Reconstruction of the 2017 Little Knoll formation | ||
1. | ![]() | Draw a circle. Draw and extend the horizontal and vertical centerlines. |
2. | ![]() | Construct the inscribed pentagon (regular five-sided polygon) of circle 1, pointing up. |
3. | ![]() | Draw the five diagonals of pentagon 2. |
4. | ![]() | Construct the inscribed circle of the pentagon enclosed by diagonals 3. |
5. | ![]() | Construct a circle centered at the lower intersection of circle 1 and the vertical centerline, passing through the lower righthand angular point of pentagon 2. |
6. | ![]() | Copy circle 5 to the center of circle 1. |
7. | ![]() | Construct the circumscribed pentagon of circle 6, pointing up. |
8. | ![]() | Construct the inscribed pentagon of circle 6, pointing up. |
9. | ![]() | Construct the inscribed circle of pentagon 8. |
10. | ![]() | Copy circle 9 five times, to the angular points of pentagon 2. |
11. | ![]() | Draw the connecting line between the intersections of the upper circle 10 and the upper two diagonals 3, as shown. |
12. | ![]() | Construct a circle concentric to the upper circle 10, tangent to line 11. |
13. | ![]() | Copy circle 12 four times, to the centers of the other circles 10. |
14. | ![]() | Construct a circle tangent to the lower two diagonals 3, and tangent to circle 4 at the lower side. |
15. | ![]() | Copy circle 14 to the righthand intersection of circle 1 and the horizontal centerline. |
16. | ![]() | Construct a circle concentric to circle 1, tangent to circle 15 at the righthand side. |
17. | ![]() | Construct the "two-points" circle (defined by the two end-points of a centerline) between the lower intersections of the upper circle 10 and circle 12 with the vertical centerline. |
18. | ![]() | Copy circle 17 to the center of circle 1. |
19. | ![]() | Copy circle 17 five times, to the centers of circles 10. |
20. | ![]() | Construct five pairs of parallel lines, all tangent to circle 18, and each tangent to one of the circles 19, all at both sides, as shown. See detail. |
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21. | ![]() | Circles 1, 4, 10, 12, 13, and 16, pentagons 2, and 7, and lines 20, are used for the final reconstruction. |
22. | ![]() | Remove all parts not visible within the formation itself. |
23. | ![]() | Colour all areas corresponding to standing... |
24. | ![]() | ...or to flattened crop, and finish the reconstruction of the 2017 Little Knoll formation. |
25. | ![]() ![]() | The final result, matched with two aerial images. |
Copyright © 2017, Zef Damen, The Netherlands |