Reconstruction of the
2010 Ufton formation
1. Draw a circle. Draw and extend the horizontal and vertical centerlines.
2. Construct a circle centered at the righthand intersection of circle 1 and the horizontal centerline, passing through the upper intersection of circle 1 and the vertical centerline.
3. Construct a circle concentric to circle 1, tangent to circle 2 at the lefthand side.
4. Copy circle 2 to the lefthand intersection of circle 1 and the horizontal centerline.
5. Construct four inscribed equilateral triangles of circle 1, one pointing up, one down, one to the left, one to the right.
6. Construct the circumscribed dodecagon (regular 12-sided polygon) of circle 1, with the midpoint of one side coincident with the righthand intersection of circle 1 and the horizontal centerline.
7. Construct the circumscribed circle of dodecagon 6.
8. Draw the twelve rays of dodecagon 6, from the center of circle 1 to the angular points.
9. Construct two inscribed hexagons (regular 6-sided polygons) of circle 3, one with an angular point at the upper lefthand ray 8, the other at the upper righthand ray 8, as shown.
10. Construct a circle concentric to circle 1, passing through the mutual intersections of hexagons 9.
11. Construct the inscribed equilateral triangle of circle 10, pointing up.
12. Construct the inscribed circle of triangle 11.
13. Construct a "two-points" circle (defined by the two end-points of a centerline) between the lefthand intersections of circles 1 and 7 with the horizontal centerline.
14. Copy circle 13 to the lefthand intersection of circle 3 and the horizontal centerline, and move this circle (copy and delete original) to its own corresponding intersection.
15. Construct a circle concentric to circle 2, tangent to circle 14 at the lefthand side.
16. Copy circle 13 to the righthand intersection of circle 3 and the horizontal centerline.
17. Construct two circles concentric to circle 4, tangent to circle 16 at both sides.
18. Copy circle 2 twelve times, to the intersections of circle 1 and rays 8.
19. Copy circle 2 ten times, to the other angular points of triangles 5, except for the leftmost one.
20. Circles 1, 2, 3, 7, 12, 15, 17, 18 and 19, are used for the final reconstruction.
21. Remove all parts not visible within the formation itself.
22. Colour all areas corresponding to standing...
23. ...or to flattened crop, and finish the reconstruction of the 2010 Ufton formation.
24.

The final result, matched with two aerial images.
Copyright © 2010, Zef Damen, The Netherlands

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Mark Fussell & Stuart Dike

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