Reconstruction of thePewsey White Horse 4-08-2007 formation | |||||

1. |
Draw a circle. Draw the horizontal and vertical centerlines. | ||||

2. |
Construct the inscribed nonagon (regular 9-sided polygon) of circle 1, pointing up. | ||||

3. |
Construct the inscribed equilateral triangle of circle 1, pointing up. | ||||

4. |
Construct the inscribed equilateral triangle of circle 1, with the top coincident with the angular point of nonagon 2 next to the top, to the right. | ||||

5. |
Construct the inscribed equilateral triangle of circle 1, with the top coincident with the angular point of nonagon 2 next to the top, to the left. (Triangles 3, 4 and 5 make up one inscribed nonagram - nine-pointed star - of circle 1). | ||||

6. |
Construct a circle concentric to circle 1, passing through the outer set of mutual intersections of triangles 3, 4 and 5. | ||||

7. |
Construct the inscribed circle of the nonagon enclosed by triangles 3, 4 and 5. | ||||

8. |
Construct a circle, passing through the upper intersection of circle 1 and the vertical centerline, and both intersections of triangle 3 and the horizontal centerline. (Notice, that this circle is, when mirrored with respect to the horizontal centerline, half of a Vesica Pisces). | ||||

9. |
Construct a circle concentric to circle 1, tangent to circle 8 at the lower side. (The radius of this circle is one third of that of circle 1). | ||||

10. |
Construct the inscribed equilateral triangle of the nonagon enclosed by triangles 3, 4 and 5 (that means, of the circumscribed circle of this nonagon), pointing up (its sides parallel to those of triangle 3), as shown. | ||||

11. |
Construct the inscribed equilateral triangle of the nonagon enclosed by triangles 3, 4 and 5, with its sides parallel to those of triangle 4. | ||||

12. |
Construct the inscribed equilateral triangle of the nonagon enclosed by triangles 3, 4 and 5, with its sides parallel to those of triangle 5. | ||||

13. |
Construct the inscribed equilateral triangle of the nonagon enclosed by triangles 10, 11 and 12, pointing up (its sides parallel to those of triangle 10), as shown. | ||||

14. |
Construct the inscribed equilateral triangle of the nonagon enclosed by triangles 10, 11 and 12, with its sides parallel to those of triangle 11. | ||||

15. |
Construct the inscribed equilateral triangle of the nonagon enclosed by triangles 10, 11 and 12, with its sides parallel to those of triangle 12. | ||||

16. |
Construct a circle concentric to circle 1, passing through the inner set of mutual intersections of triangles 13, 14 and 15. | ||||

17. |
Construct the inscribed equilateral triangle of circle 16, pointing up. | ||||

18. |
Construct a circle concentric to circle 1, passing through the intersection of the lower righthand side of triangle 12 and the horizontal centerline. | ||||

19. |
Copy circle 18 to the intersection of the lower side of triangle 17 and the vertical centerline. | ||||

20. |
Construct a circle concentric to circle 1, tangent to circle 19 at the lower side. | ||||

21. |
Construct a circle concentric to circle 19, tangent to circle 9 at the upper side. | ||||

22. |
Construct a circle centered at the lowermost intersection of triangles 14 and 15, tangent to the lower side of triangle 13. | ||||

23. |
Copy circle 22 to the center of circle 1. | ||||

24. |
Construct a circle (concentric to circle 1), passing through the angular points of triangles 13, 14 and 15. | ||||

25. |
Construct the circumscribed equilateral triangle of circle 24, pointing up. | ||||

26. |
Construct a circle concentric to circle 8, tangent to the lower side of triangle 10. | ||||

27. |
Copy circle 26 to the center of circle 1. | ||||

28. |
Construct the inscribed nonagon of circle 27, pointing up. | ||||

29. |
Construct the inscribed circle of nonagon 28. | ||||

30. |
Construct a "two-points" circle, defined by the two end-points of a centerline, which coincide with the upper intersections of circles 1 and 29, both with the vertical centerline. | ||||

31. |
Construct a circle concentric to circle 1, passing through the center of circle 30. | ||||

32. |
Construct the circumscribed nonagon of circle 31, pointing down. | ||||

33. |
Construct the circumscribed circle of nonagon 32. | ||||

34. |
Finish the inscribed equilateral triangle of circle 30, by drawing the connecting line between its intersections with (the upper sides of) triangle 3. | ||||

35. |
Draw one ray of nonagon 2, to the top of triangle 4. | ||||

36. |
Extend line 34 to the right up to ray 35. | ||||

37. |
Construct a circle concentric to circle 1, passing through the intersection of ray 35 and line 36. | ||||

38. |
Draw two lines, from the center of circle 1 to both upper intersections of circle 37 and triangle 3. | ||||

39. |
Extend lines 38 upwards to circle 1. | ||||

40. |
Construct a circle concentric to circle 1, passing through the intersections of lines 39 and nonagon 2. | ||||

41. |
Draw a line, from the center of circle 1 to the upper righthand intersection of circle 40 and triangle 3. | ||||

42. |
Draw a line, from the center of circle 1 to the upper lefthand intersection of circle 40 and triangle 3. | ||||

43. |
Construct a (small) circle centered at the intersection of line 41, and passing through the intersection of line 42, both with circle 33. | ||||

44. |
Copy circle 43 to the intersection of circle 33 and righthand line 38. | ||||

45. |
Draw a line, from the center of circle 1 to the righthand intersection of circles 33 and 44. | ||||

46. |
Copy circle 43 to the intersection of circle 33 and lefthand line 38. | ||||

47. |
Draw a line, from the center of circle 1 to the lefthand intersection of circles 33 and 46. | ||||

48. |
Repeat steps 38, 41, 42, 45 and 47 eight times, for all corresponding positions relative to all other angular points of triangles 3, 4 and 5, as shown. | ||||

49. |
(For clarity, the results of some previous steps are removed temporarily) Construct a (very small) "two-points" circle, the two end-points of a centerline of which coincide with the intersections of circle 16 and lines 41 and 42. See detail. | ||||

50. |
Copy circle 49 to the center of circle 1. | ||||

51. |
Draw two parallel lines, tangent to both corresponding sides of circles 49 and 50, as shown. | ||||

52. |
Extend lines 51 upwards to triangle 13. | ||||

53. |
Repeat steps 51 and 52 eight times, relative to all other angular points of triangles 13, 14 and 15, as shown. | ||||

54. |
Triangles 3, 4, 5, 13, 14, 15, 17 and 25, circles 6, 7, 9, 16, 20, 21, 23, 27, 29, 31, 33 and 37, and lines 38, 41, 42, 45, 47, 48, 51, 52 and 53 are used for the final reconstruction. | ||||

55. |
Remove everything not present in the formation itself. High resolution dwf-file | ||||

56. |
Colour all areas with standing... High resolution dwf-file | ||||

57. |
...or with flattened crop, and finish the reconstruction of the Pewsey White Horse formation of 4-08-2007. High resolution dwf-file | ||||

58. |
courtesy the Crop Circle Connector photo by: Lucy Pringle | The final result, matched with the aerial image. | |||

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Copyright © 2007, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||