Reconstruction of the 2008 Below Milk Hill formation (without the flame-like structures) | ||
1. | ![]() | Draw a circle. Draw and extend the horizontal and vertical centerlines. |
2. | ![]() | Construct the inscribed square of circle 1, sides horizontal and vertical. |
3. | ![]() | Construct a circle centered at the upper intersection of circle 1 and the vertical centerline, passing through the upper angular points of square 2. |
4. | ![]() | Construct a circle centered at the lower intersection of circle 1 and the vertical centerline, passing through the lower angular points of square 2. |
5. | ![]() | Construct a circle concentric to circle 3, tangent to the upper side of square 2. |
6. | ![]() | Construct a circle concentric to circle 4, tangent to the lower side of square 2. |
7. | ![]() | Copy circle 3 to the center of circle 1. |
8. | ![]() | Construct a circle centered at the mid-point of the upper side of square 2, tangent to circle 7 at the upper side. |
9. | ![]() | Construct a circle concentric to circle 5, tangent to circle 8 at the lower side. |
10. | ![]() | Copy circle 9 to the center of circle 6. |
11. | ![]() | Draw the connecting line between the intersections of circles 3 and 7. |
12. | ![]() | Construct a circle concentric circle 1, tangent to line 11. |
13. | ![]() | Copy circle 8 to the upper intersection of circle 12 and the vertical centerline. |
14. | ![]() | Construct a circle concentric to circle 12 (and circle 1), tangent to circle 13 at the upper side. |
15. | ![]() | Construct a "two-points" circle, defined by the end-points of a centerline (diameter), between the intersection of the righthand side of square 2 and the righthand intersection of circle 7 both with the horizontal centerline. Notice, that the diameter of this circle is half that of circle 8. |
16. | ![]() | Construct a circle centered at the righthand intersection of circle 1 and the horizontal centerline, passing through the center of circle 15. |
17. | ![]() | Copy circle 16 to the lefthand intersection of circle 1 and the horizontal centerline. |
18. | ![]() | Construct a circle concentric to circle 15, tangent to circle 14 at the righthand side. |
19. | ![]() | Copy circle 15 to the center of circle 16. |
20. | ![]() | Construct two circles concentric to circle 1, tangent to circle 19 at the lefthand and righthand sides respectively. |
21. | ![]() | Copy circle 8 two times, to both intersections of circle 19 with the horizontal centerline. See detail. |
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22. | ![]() | Construct two circles concentric to circle 1, tangent to circles 21 at the leftmost and rightmost sides respectively. |
23. | ![]() | Copy circle 8 to the righthand intersection of circle 14 and the horizontal centerline. |
24. | ![]() | Construct a circle concentric to circle 18, tangent to circle 23 at the righthand side. |
25. | ![]() | Copy circles 18 and 24 four times, to the angular points of square 2. |
26. | ![]() | Construct a circle centered at the righthand intersection of circle 9 and the upper side of square 2, tangent to circle 7 at the nearest side. |
27. | ![]() | Copy circle 26 to the upper intersection of circle 3 and the vertical centerline. |
28. | ![]() | Copy circle 26 to the lower intersection of circle 27 and the vertical centerline. |
29. | ![]() | Repeat step 28 18 times, the first to the corresponding intersection of circle 28 itself, the next circles to the corresponding intersections of the previously copied circles, as shown. |
30. | ![]() | Construct a circle concentric to circle 3, tangent to the lowermost circle 29 at the lower side. |
31. | ![]() | Construct 19 circles concentric to circle 30, passing through the centers of circle 28 and circles 29 from the uppermost to the lowermost. Number these circles from 1 to 19 in the same order, as shown. |
32. | ![]() | Construct a circle centered at the lower intersection of circle 4 and the vertical centerline, tangent to circle 3 at the upper side. |
33. | ![]() | Copy circle 32 to the center of circle 1. |
34. | ![]() | |
Copy circle 32 two times, to the lefthand and righthand intersections of circle 33 and the horizontal centerline. | ||
35. | ![]() | |
Copy circle 3 to the lower intersection of circle 4 and the righthand circle 34, and move this circle (copy and delete original) to its own corresponding intersection. | ||
36. | ![]() | |
Construct a (very small) circle centered at the righthand intersection of circle 8 and the upper side of square 2, passing through the corresponding intersection with circle 5. | ||
37. | ![]() ![]() | |
Copy circle 36 to the lower intersection of circle 35 and righthand circle 34. See detail. | ||
38. | ![]() ![]() ![]() ![]() | |
Copy circle 31 nr. 1 to the lower righthand intersection of circle 37 and righthand circle 34, and move this circle to its own corresponding intersection. See details. | ||
39. | ![]() ![]() | |
Repeat steps 37 and 38 18 more times for circles 31, nrs. 2, 3, 4, and so on, each time relative to the previously copied circle, as shown. See detail. | ||
40. | ![]() | |
Repeat steps 37 and 38 one more time for circle 30, as shown. | ||
41. | ![]() | |
Repeat steps 35, 37, 38, 39 and 40, for the lefthand circle 34, in the opposite direction, and starting at circle 3 in stead of 4, as shown. | ||
42. | ![]() | |
Circles 3, 4, 5, 6, 9, 10, 12, 14, 16, 17, 20, 22, 25, 35, 38, 39, 40 and 41, are used for the final reconstruction. | ||
43. | ![]() | |
Remove all redundant parts, not visible in the formation itself. | ||
44. | ![]() | |
Colour all areas corresponding to standing... | ||
45. | ![]() | |
...or to flattened crop, and complete the reconstruction of the 2008 Below Milk Hill formation. | ||
46. | ![]() ![]() | ![]() |
The final result, matched with aerial images. Since the field runs slightly up in both left and right directions (see tramlines!), and the reconstruction assumes a flat plane, the match can not be done in one time. Upper left: the match, optimized for the righthand "wing" of the formation; lower left: the same for the lefthand "wing"; right: match of the central part with a different aerial image. |
Copyright © 2008, Zef Damen, The Netherlands |