Reconstruction of the
2011 Temple Farm formation
1. Draw a circle. Draw the horizontal and vertical centerlines.
2. Construct the inscribed square of circle 1, pointing to the right.
3. Construct the inscribed square of circle 1, sides horizontal and vertical.
4. Construct the inscribed octagon (regular 8-sided polygon) of circle 1, pointing to the right.
5. Construct eight inscribed equilateral triangles of circle 1, each with one angular point coincident with successive angular points of octagon 4, as shown.
6. Draw 24 rays from the center of circle 1 to all angular points of triangles 5. Number these rays counterclockwise from 0 to 23, starting at the rightmost one, as shown.
7. Construct a circle concentric to circle 1, passing through the intersection of ray 6 nr. 4 and the upper righthand side of octagon 4.
8. Construct a circle concentric to circle 1, passing through the intersection of ray 6 nr. 4 and the upper righthand side of square 2.
9. Construct the circumscribed dodecagon (regular 12-sided polygon) of circle 8, with the midpoint of one side coincident with the righthand intersection of circle 8 and the horizontal centerline.
10. Construct the circumscribed circle of dodecagon 9.
11. Construct the inscribed equilateral triangle of circle 8, pointing to the left.
12. Construct a "three-points" circle, passing through the righthand intersection of circle 8 and the horizontal centerline, and passing through the intersections of the lefthand sides of triangle 11 and the vertical centerline.
13. Construct a circle concentric to circle 1, tangent to circle 12 at the lefthand side.
14. Construct the circumscribed hexagon (regular six-sided polygon) of circle 13, pointing to the right.
15. Construct the circumscribed circle of hexagon 14.
16. Construct the inscribed square of circle 15, sides horizontal and vertical.
17. Construct the inscribed circle of square 16.
18. Construct the circumscribed square of circle 13, sides horizontal and vertical.
19. Construct the circumscribed circle of square 18.
20. Construct the circumscribed square of circle 19, sides horizontal and vertical.
21. Construct the circumscribed circle of square 20.
22. Divide the linesegment in between the righthand intersections of circles 19 and 21 with the horizontal centerline into nine equal parts.
23. Construct eight circles concentric to circle 1, passing through the dividing nodes 22, as shown.
24. Construct the circumscribed equilateral triangle of circle 15, pointing up.
25. Construct the circumscribed circle of triangle 24.
26. Construct a "two-points" circle (defined by the two end-points of a centerline) between the upper intersections of circles 13 and 17 with the vertical centerline.
27. Construct a circle concentric to circle 1, passing through the center of circle 26.
28. Draw the connecting line between the center of circle 1 and the intersection of the upper righthand side of square 2 and the righthand side of square 3.
29. Construct a circle centered at the righthand intersection of circle 19 and the horizontal centerline, tangent to the innermost circle 23 at the near side.
30. Copy circle 29 to the intersection of circle 27 and line 28.
31. Construct a "two-points" circle between the center of circle 30 and its righthand intersection with line 28.
32. Copy circle 31 to the center of circle 30.
33. Construct a "two-points" circle between the righthand intersections of circles 30 and 13 with line 28.
34. Copy circle 33 four times, to the center of circle 1, and to the intersections of circle 1 with rays 6 nrs. 0, 1 and 2.
35. Draw three pairs of parallel lines, each tangent to the central circle 34, and tangent to the peripheral circles 34 successively, each time at both sides. See details.
36. Draw two connecting lines, between the intersections of rays 6 nrs. 1 and 2 with circle 8, and with circle 10. Extend these lines in both directions upto the nearest line 35.
37. Construct a circle centered at the intersection of circle 8 and ray 6 nr. 2, tangent to circle 10 at the near side.
38. Copy circle 37 to the center of circle 1.
39. Draw a line, tangent to circles 37 and 38 at the lower sides.
40. Remove all parts from circles 13, 15, 17, 25, 30 and 32, and lines 35, 36 and 39, until the shown pattern remains.
41. Copy pattern 40 eleven times, while rotating them around the center of circle 1, and, together with pattern 40 itself, distributing them evenly around the circle (each time 30° in between).
42. Remove all parts from circle 21, and lines 35, until the shown pattern remains.
43. Copy pattern 42 eleven times, in the same way as pattern 40 in step 41.
44. Remove all parts from circles 19, 21 and 23, and patterns 42 and 43, until the shown pattern remains.

When circles 19, 21 and 23, are given the values 0 through 9 from inside outwards, the remaining pattern represents the following values, starting from the "largest", clockwise: 9, 8, 0, 3, 6, 1, 6, 3, 5, 0, 7, 4.
45. Circles 1 and 7, and patterns 40, 41 and 44, together, make up the final reconstruction.
46. Colour all areas corresponding to standing...
47. ...or to flattened crop, and finish the reconstruction of the 2011 Temple Farm formation.
48.

The final result, matched with two aerial images.
Copyright © 2011, Zef Damen, The Netherlands

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Mark Fussell & Stuart Dike

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