Reconstruction of the 2014 Badbury Rings formation | ||

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

2. |
Draw the righthand ray of circle 1 from the center to its righthand intersection with the horizontal centerline. | |

3. |
Divide ray 2 into 28 equal parts. Number the nodes 1 - 27 from the center outwards. | |

4. |
Construct a circle concentric to circle 1, passing through node 3 nr. 13. | |

5. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 1 and node 3 nr. 9. | |

6. |
Copy circle 5 to the center of circle 1. | |

7. |
Construct a circle centered at the lower intersection of circle 6 and the vertical centerline, tangent to circle 4 at the upper side. | |

8. |
Copy circle 7 to the lower intersection of circle 1 and the vertical centerline. | |

9. |
Construct a circle concentric to circle 1, passing through node 3 nr. 27. | |

10. |
Construct a circle centered at the lower intersection of circle 8 and the vertical centerline, tangent to circle 9 at the lower side. | |

11. |
Construct the inscribed equilateral triangle of circle 9, pointing down. | |

12. |
Draw two connecting lines, from the center of circle 10 to the lefthand and righthand angular points of triangle 11. | |

13. |
Draw two connecting lines, one from the righthand intersection of circle 1 and the horizontal centerline to the intersection of circle 10 and lefthand line 12, the other corresponding to the first, but mirrored with respect to the vertical centerline. | |

14. |
Construct a circle concentric to circle 1, passing through node 3 nr. 4. | |

15. |
Copy circle 14 to the intersection of righthand lines 12 and 13. | |

16. |
Copy circle 14 to the intersection of lefthand lines 12 and 13. | |

17. |
Copy circle 14 to the center of circle 10. | |

18. |
Construct the inscribed equilateral triangle of circle 17, pointing down. | |

19. |
Construct a circle passing through the upper intersection of circle 17 and the vertical centerline, and tangent to the lefthand and righthand sides of triangle 18. | |

20. |
Copy circle 19 to the center of circle 17. | |

21. |
Copy circle 19 two times, to the intersections of circle 10 and lines 12. | |

22. |
Copy circle 19 to the mutual intersection of lines 13. | |

23. |
Construct a "two-points" circle between the upper lefthand intersection of circle 22 and the lower righthand intersection of circle 16, both with lefthand line 13. | |

24. |
Construct a "two-points" circle between the upper righthand intersection of circle 22 and the lower lefthand intersection of circle 15, both with righthand line 13. | |

25. |
Construct a "two-points" circle between the lefthand intersection of circle 9 and the upper lefthand intersection of circle 16, both with lefthand line 13. | |

26. |
Construct a "two-points" circle between the righthand intersection of circle 9 and the upper righthand intersection of circle 15, both with righthand line 13. | |

27. |
Construct a "two-points" circle between the center of circle 6 and its righthand intersection with the horizontal centerline. | |

28. |
Copy circle 27 four times, to the centers of circles 23, 24, 25, and 26. | |

29. |
Construct a circle centered at the upper intersection of circle 17 and the vertical centerline, passing through the righthand intersection of circle 10 and righthand circle 21. | |

30. |
Construct thirteen circles concentric to circle 1, passing through all nodes 3 in between circles 4 and 9. | |

31. |
Copy circle 9 and the outer six circles 30 two times, to the lefthand and righthand intersections of circle 9 and the horizontal centerline. | |

32. |
Construct a circle centered at the righthand intersection of circle 6 and the horizontal centerline, passing through node 3 nr. 5. | |

33. |
Copy circle 32 to the center of circle 1. | |

34. |
Construct a circle centered at the upper intersection of circle 33 and the vertical centerline, tangent to circle 33 at the lower side. | |

35. |
Copy circle 34 six times, to its upper intersection with the vertical centerline, and consecutively to the corresponding intersections of the copied circles, as shown. | |

36. |
Construct a line parallel to the horizontal centerline, tangent to circle 33 at the lower side, and extending to circle 1 in both directions. See detail. | |

37. |
Construct a line parallel to the horizontal centerline, tangent to circle 33 at the upper side, and extending to circle 1 in both directions. See detail. | |

38. |
Copy line 37 seven times, from its midpoint to the upper intersections of circles 34 and 35 with the vertical centerline. See detail. | |

39. |
Copy circle 32 three times, to the lefthand and righthand intersections of circle 1 and the horizontal centerline, and to the center of circle 22. | |

40. |
Construct two pairs of lines parallel to lines 13, tangent to circles 39 at both sides, as shown. | |

41. |
Copy circle 32 three times, to the centers of circles 15, 16, and 20. | |

42. |
Construct two pairs of lines parallel to lines 12, tangent to circles 41 at both sides, as shown. | |

43. |
Construct two lines parallel to the vertical centerline, tangent to circle 33 and lower circle 41 at both sides, as shown. | |

44. |
Circles 1, 4, 6, 9, 10, 15, 16, 20, 21, 22, 28, 29, 30, and 31, and lines 36, 37, 38, 40, 42, and 43, are used for the final reconstruction. | |

45. |
Remove all parts not visible within the formation itself. | |

46. |
Colour all areas corresponding to standing... | |

47. |
...or to flattened crop, and finish the reconstruction of the 2014 Badbury Rings formation. | |

48. |
The final result, matched with the aerial image. |

Copyright © 2014, Zef Damen, The Netherlands |