Reconstruction of the 2010 Wilton Windmill formation | ||
1. | ![]() | Draw a circle. Draw the horizontal and vertical centerlines. |
2. | ![]() | Divide the righthand half of the horizontal centerline into eleven equal parts, and mark the divisions. |
3. | ![]() | Construct a circle concentric to circle 1, passing through the rightmost mark 2. |
4. | ![]() | Construct a circle concentric to circle 1, passing through the leftmost mark 2. |
5. | ![]() | Construct the inscribed hexagon (regular six-sided polygon) of circle 4, pointing up. |
6. | ![]() | Construct a circle centered at the righthand intersection of circle 4 and the horizontal centerline, tangent to the righthand side of hexagon 5. |
7. | ![]() | Copy circle 6 eight times, to the middle eight marks 2. |
8. | ![]() | Construct eight pairs of circles, all concentric to circle 1, each tangent at the lefthand and righthand sides of circles 7, as shown. See detail. |
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9. | ![]() | Copy circle 6 to the righthand intersection of circle 3 and the horizontal centerline. |
10. | ![]() | Construct the inscribed dodecagon (regular twelve-sided polygon) of circle 3, pointing to the right. |
11. | ![]() | Construct two parallel lines, tangent to circles 6 and 9 at both sides. |
12. | ![]() | Repeat step 11 eleven times, relative to the other angular points of dodecagon 10, as shown. |
13. | ![]() | Draw two rays of circle 1, inbetween circles 3 and 4, one horizontal to the right, one with an angle of 30° also to the right, as shown. |
14. | ![]() | Divide the arc of circle 3 inbetween rays 13 into thirteen equal parts, and draw the twelve rays to the division-points similar to rays 13, as shown. |
15. | ![]() | Remove all but the middle four rays 14. |
16. | ![]() | Copy rays 15 eleven times, to the other eleven sectors of circle 3, as shown. |
17. | ![]() | Circles 1, 3, 4 and 8, and lines 11, 12, 15 and 16, are used for the final reconstruction. |
18. | ![]() | Remove all redundant parts, not visible within the formation itself. |
19. | ![]() | Colour all areas corresponding to standing... |
20. | ![]() | ...or to flattened crop, and finish the reconstruction of the 2010 Wilton Windmill formation. |
21. | ![]() | Notice, that the central angles, associated with the arcs of the various "circular bars", are mutually different, as is shown by the dotted lines (lines 15 and 16). See also details. |
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22. | ![]() | The final result, matched with the aerial image. |
Copyright © 2010, Zef Damen, The Netherlands |