Reconstruction of the 2014 Ackling Dyke formation | ||
1. | Draw a circle. Draw and extend the horizontal and vertical centerlines. | |
2. | Construct the inscribed pentagon (regular 5-sided polygon) of circle 1, pointing up. | |
3. | Construct the inscribed circle of pentagon 2. | |
4. | Construct the inscribed pentagon of circle 3, pointing down. | |
5. | Draw the diagonal between the leftmost and rightmost angular points of pentagon 2. | |
6. | Construct a circle concentric to circle 1, tangent to diagonal 5. | |
7. | Copy circle 6 five times, to the angular points of pentagon 2. | |
8. | Construct the inscribed pentagon of circle 6, pointing up. | |
9. | Draw the diagonal between the leftmost and rightmost angular points of pentagon 8. | |
10. | Construct a circle concentric to circle 1, tangent to diagonal 9. | |
11. | Copy circle 10 five times, to the centers of circles 7. | |
12. | Construct a circle centered at the lower angular point of pentagon 4, tangent to the lower righthand circle 7 at the lefthand side. | |
13. | Copy circle 12 to the center of circle 1. | |
14. | Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 12 and its lower intersection with the vertical centerline. | |
15. | Copy circle 14 to the center of circle 1. | |
16. | Copy circle 14 five times, to the angular points of pentagon 4. | |
17. | Draw the five rays of pentagon 4, from the center of circle 1 to its angular points. | |
18. | Construct a "two-points" circle between the center of the lower circle 16 and its lower intersection with the vertical centerline. | |
19. | Copy circle 18 five times, to the intersections of circle 13 and rays 17. | |
20. | Construct a circle centered at the upper intersection of upper circle 11 and the vertical centerline, tangent to upper circle 7 at the upper side. | |
21. | Repeat step 20 four times, with respect to the other circles 11 and 7. | |
22. | Draw two connecting lines, between the center of lower circle 16 and the centers of leftmost and rightmost circles 19. | |
23. | Construct a circle centered at the upper intersection of circle 13 and the vertical centerline, tangent to circle 6 at the upper side. | |
24. | Copy circle 23 three times, to the end-points of lines 22. | |
25. | Construct two lines, parallel to lines 22 at the inner sides, tangent to circles 24, as shown. | |
26. | Repeat steps 22 and 25 four times, with respect to the other circles 16 and 19. | |
27. | Construct a "two-points" circle between the center of the lower circle 24 and its lower intersection with the vertical centerline. | |
28. | Copy circle 27 to the center of circle 1. | |
29. | Construct two parallel lines, tangent to circles 27 and 28 at both sides, and extend these lines upward upto circle 1. See detail. | |
30. | Repeat step 29 four times, with respect to the other circles 11 and 16, as shown. | |
31. | Circles 7, 11, 15, 16, 19, 20 and 21, and lines 22, 25, 26, 29 and 30, are used for the final reconstruction. | |
32. | Remove all parts not visible within the formation itself. | |
33. | Colour all areas corresponding to standing... | |
34. | ...or to flattened crop, and finish the reconstruction of the 2014 Ackling Dyke formation. | |
35. | The final result, matched with the aerial image. |
Copyright © 2014, Zef Damen, The Netherlands |