Reconstruction of theRoundway Hill 25-07-2010 formation | |||||

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

2. |
Construct the inscribed pentagon (regular 5-sided polygon) of circle 1, pointing down. | ||||

3. |
Draw the five rays of pentagon 2, from the center of circle 1 to the angular points. | ||||

4. |
Construct the inscribed circle of pentagon 2. | ||||

5. |
Construct the inscribed pentagon of circle 4, pointing up. | ||||

6. |
Create the inscribed pentagram of circle 4 by drawing the five diagonals of pentagon 5. | ||||

7. |
Construct the inscribed circle of the pentagon enclosed by pentagram 6. | ||||

8. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 7 and its upper intersection with the vertical centerline. | ||||

9. |
Copy circle 8 to the center of circle 1. | ||||

10. |
Construct a "two-points" circle between the center of circle 1 and its lower intersection with the vertical centerline. | ||||

11. |
Copy circle 10 to the upper intersection of circle 1 and the vertical centerline. | ||||

12. |
Construct a circle concentric to circle 11, passing through the intersection of the upper righthand side of pentagon 5 and the upper righthand ray 3. | ||||

13. |
Copy circle 12 to the upper intersection of circle 11, and move this circle (copy and delete original) to its own lower intersection, both with the vertical centerline. | ||||

14. |
Construct a circle concentric to circle 1, tangent to circle 13 at the lower side. | ||||

15. |
Construct a circle concentric to circle 11, tangent to circle 7 at the upper side. | ||||

16. |
Copy circle 15 to the center of circle 1. | ||||

17. |
Draw the connecting line between the righthand intersections of circles 1 and 4 with the horizontal centerline, and divide this line into six equal parts. | ||||

18. |
Construct five circles concentric to circle 1, passing through the division-nodes 17. | ||||

19. |
Construct a "two-points" circle between the righthand intersections of circle 1 and the outermost circle 18 with the horizontal centerline. | ||||

20. |
Copy circle 19 to the upper intersection of circle 11 and the vertical centerline. | ||||

21. |
Construct a "two-points" circle between the lower intersections of circles 11 and 20 with the vertical centerline. | ||||

22. |
Copy circle 21 four times, to the corresponding positions with respect to the other angular points of pentagon 5. | ||||

23. |
Construct four circles centered at the righthand intersection of circle 1 and the horizontal centerline, tangent to the outer four circles 18 at the righthand sides. | ||||

24. |
Copy circles 23 to the upper intersection of circle 21 and the vertical centerline. | ||||

25. |
Construct four circles concentric to circle 21, tangent to the circles 24 at the lower sides. | ||||

26. |
Copy circle 19 to the center of circle 1. | ||||

27. |
Construct two parallel lines, tangent to circles 20 and 26 at both sides. | ||||

28. |
Construct three circles concentric to circle 19, tangent to the middle three circles 18 at the righthand sides. | ||||

29. |
Copy circles 28 two times, to the centers of circles 20 and 26. | ||||

30. |
Construct six parallel lines, tangent to circles 29 at both sides, as shown. | ||||

31. |
Remove all parts from circles 1, 4, 16, 18, 21 and 25, and from lines 27 and 30, not present within the formation. The shown pattern remains. | ||||

32. |
Copy pattern 31 four times, from the center of circle 21 to the centers of circles 22, while rotating about the center of circle 1. (That means, repeat all the necessary steps to create these patterns relative to the other sides of pentagon 2). | ||||

33. |
For clarity reasons, patterns 31 and 32 are left out temporarily.Copy circle 13 four times, to the corresponding positions with respect to the other angular points of pentagon 5. | ||||

34. |
Construct the smallest possible circle tangent to circle 14 and to the lower two circles 33, as shown. | ||||

35. |
Construct a circle concentric to circle 1, passing through the center of circle 34. | ||||

36. |
Construct a "two-points" circle between the center of circle 34 and its lower intersection with the vertical centerline. | ||||

37. |
Copy circle 36 to the center of circle 34. | ||||

38. |
Construct a "two-points" circle between the center of circle 36 and its lower intersection with the vertical centerline. | ||||

39. |
Copy circle 38 to the center of circle 34. | ||||

40. |
Copy circles 37 and 39 four times, to the intersections of circle 35 and the other rays 3. | ||||

41. |
Draw the connecting line between the intersections of upper righthand circle 33 with circle 13 and with lower righthand circle 33, closest to the center of circle 1, as shown. Extend this line up to the vertical centerline. | ||||

42. |
Copy innermost circle 23 to the intersection of line 41, and move this circle to its own upper intersection, both with the vertical centerline. | ||||

43. |
Construct a circle concentric to circle 1, passing through the center of circle 42. | ||||

44. |
Draw the five rays of pentagon 5 and extend these lines to the outer sides of circles 13 and 33. | ||||

45. |
Copy innermost circle 23 four times, to the intersections of circle 43 and the lower four lines 44. | ||||

46. |
Extend rays 3 up to circle 43. | ||||

47. |
Copy innermost circle 23 five times, to the intersections of circle 43 and lines 46. | ||||

48. |
Draw two lines, from the lower intersection of circle 42 and the vertical centerline to the intersections of circle 1 and lines 27. | ||||

49. |
Copy lines 27 and 48 as a whole four times, to the corresponding positions with respect to the other angular points of pentagon 5, while rotating about the center of circle 1. | ||||

50. |
Copy innermost circle 23 two times, to the intersections of innermost circle 25 and the middle lines 30 to the left and to the right, as shown. See detail. | ||||

51. |
Copy circles 50 four times, to the corresponding positions with respect to the other angular points of pentagon 5. | ||||

52. |
Construct a "two-points" circle between the upper intersections of circles 13 and 21 with the vertical centerline. | ||||

53. |
Copy innermost circle 23 to the center of circle 52. | ||||

54. |
Construct two circles outside and tangent to circle 53 at both sides, and in between and tangent to circles 13 and 21, as shown. | ||||

55. |
Copy circles 54 four times, to the corresponding positions with respect to the other angular points of pentagon 5. | ||||

56. |
Patterns 31 and 32, circles 7, 9, 13, 14, 33, 37, 39, 40, 42, 45, 47, 50, 51, 54 and 55, and lines 27, 48 and 49, are used for the final reconstruction. | ||||

57. |
Remove all parts not visible within the formation itself. High resolution dwf-file | ||||

58. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

59. |
...or to flattened crop, and finish the reconstruction of the Roundway Hill formation of 25-07-2010. High resolution dwf-file | ||||

60. |
Courtesy the Crop Circle Connector Photo by: Olivier Morel | The final result, matched with the aerial image. | |||

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Copyright © 2010, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||