Reconstruction of the 2021 Roundway Hill formation | ||
1. | ![]() | Draw a circle. Draw the horizontal and vertical centerlines. |
2. | ![]() | Construct the inscribed octagon (regular eight-sided polygon) of circle 1, pointing up. |
3. | ![]() | Construct a "two-points" circle (defined by the two end-points of a centerline) between the top and the next angular point to the right of octagon 2. |
4. | ![]() | Draw the connecting line between the centers of circles 1 and 3, and extend this line upto circle 1. |
5. | ![]() | Construct the inscribed octagon of circle 1, with one angular point on line 4. |
6. | ![]() | Draw sixteen rays of circle 1, from the center to the angular points of octagons 2 and 5. Number these rays (and angular points), clockwise, 1 - 16, starting at the top. |
7. | ![]() | Construct the inscribed circle of octagons 2 and 5. |
8. | ![]() | Draw the connecting line between the center of circle 1 and the intersection of octagons 2 and 5 in between rays 6 nrs. 2 and 3, and extend this line upto circle 1. |
9. | ![]() | Construct a circle centered at the top of octagon 2, passing through the intersection of circle 1 and line 8. |
10. | ![]() | Copy circle 9 to the center of circle 1. |
11. | ![]() | Draw the connecting line between the intersection of circle 7 and ray 6 nr. 1, and angular point nr. 11. |
12. | ![]() | Draw the connecting line between the intersection of circle 7 and ray 6 nr. 1, and angular point nr. 14. |
13. | ![]() | Construct a circle concentric to circle 1, tangent to line 12. |
14. | ![]() | Draw the connecting line between the intersection of circle 13 and ray 6 nr. 1, and angular point nr. 6. |
15. | ![]() | Construct a "two-points" circle between the intersections of circles 1 and 7 with ray 6 nr. 1. |
16. | ![]() | Copy circle 15 to the center of circle 1. |
17. | ![]() | Draw a line parallel to ray 6 nr. 1, tangent to circles 15 and 16 at the righthand sides. |
18. | ![]() | Draw the connecting line between the intersection of circle 13 and ray 6 nr. 16, and angular point nr. 5. |
19. | ![]() | Copy circle 15 two times, to the end-points of line 18. |
20. | ![]() | Draw a line parallel to line 18, tangent to circles 19 at the upper sides. |
21. | ![]() | Remove all redundant parts from circle 10, and lines 6, 11, 14, 17, and 20, such that... |
22. | ![]() | ...this pattern remains. |
23. | ![]() | Copy and rotate pattern 22 fifteen times, with respect to all other rays 6, as shown. |
24. | ![]() | Construct a circle concentric to circle 1, tangent to line 11. |
25. | ![]() | Draw the connecting line between the intersections of circle 10 and rays 6 nrs. 4 and 14. |
26. | ![]() | Construct a circle concentric to circle 1, tangent to line 25. |
27. | ![]() | Draw the connecting line between the intersections of circle 26 and rays 6 nrs. 1 and 14. |
28. | ![]() | Construct a circle concentric to circle 1, tangent to line 27. |
29. | ![]() | Draw the connecting line between the intersections of circle 10 and rays 6 nrs. 4 and 6. |
30. | ![]() | Construct a circle concentric to circle 1, tangent to line 29. |
31. | ![]() | Construct the inscribed regular 22-sided polygon of circle 28, pointing to the right. |
32. | ![]() | Draw the connecting line between the upper and lower angular points of polygon 31, next to the rightmost one, as shown. |
33. | ![]() | Construct a circle centered at the rightmost angular point of polygon 31, tangent to line 32. |
34. | ![]() | Copy circle 33 twenty-one times, to the other angular points of polygon 31. |
35. | ![]() | Copy circle 10 to its intersection with ray 6 nr. 5. |
36. | ![]() | Remove from circle 35 all redundant parts, such that... ...only this lower part in between circles 24 and 30 remains. |
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37. | ![]() | Construct the inscribed regular 42-sided polygon of circle 10, pointing to the right. |
38. | ![]() | Copy and rotate pattern 36 forty-one times, with respect to the other angular points of polygon 37, as shown. |
39. | ![]() | Circles 1, 24, 26, 30, 33, and 34, and patterns 22, 23, 36, and 38, together, make up the final reconstruction. |
40. | ![]() | Colour all areas corresponding to standing... |
41. | ![]() | ...or to flattened crop, and finish the reconstruction of the 2021 Roundway Hill formation. |
42. | ![]() ![]() ![]() | The final result, matched with three aerial images. |
Copyright © 2021, Zef Damen, The Netherlands |