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. | |
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 |