Reconstruction of the 2021 Spiers Lane formation | ||

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

2. |
Construct the inscribed regular 16-sided polygon of circle 1, pointing up. | |

3. |
Draw the sixteen rays of polygon 2, from the center to the angular points. Number these rays (and angular points) 1 - 16, clockwise, starting at the top. | |

4. |
Draw the diagonal of polygon 2 between angular points nrs. 1 and 7. | |

5. |
Draw the diagonal of polygon 2 between angular points nrs. 16 and 6. | |

6. |
Construct a circle concentric to circle 1, passing through the intersection of diagonals 4 and 5. | |

7. |
Draw the connecting line between the intersections of circle 6 with rays 3 nrs. 1 and 13. | |

8. |
Construct a circle concentric to circle 1, tangent to line 7. | |

9. |
Construct a circle concentric to circle 1, passing through the intersections of line 7 with rays 3 nrs. 14 and 16. | |

10. |
Construct the circumscribed square of circle 6, with one angular point on ray 3 nr. 3. | |

11. |
Construct the circumscribed circle of square 10. | |

12. |
Draw two connecting lines, between angular points nrs. 1 and 3, and 2 and 4. | |

13. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the intersections of rays 3 nrs. 2 and 3 with lines 12, as shown. | |

14. |
Copy circle 13 to the righthand intersection of circle 6 and the horizontal centerline. | |

15. |
Copy circle 13 to the righthand intersection of circle 14 and the horizontal centerline. | |

16. |
Construct a circle concentric to circle 1, tangent to circle 15 at the righthand side. | |

17. |
Copy circle 13 four times, to the intersections of circle 16 and the horizontal and vertical centerlines. | |

18. |
Construct a circle centered at the lower intersection of circles 6 and 14, tangent to circle 15 at the near side. | |

19. |
Copy circle 18 to the center of circle 15. | |

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

21. |
Copy circle 18 four times, to the intersections of circle 16 with rays 3 nrs. 3, 7, 11, and 15. | |

22. |
Draw the connecting line between the intersections of circle 8 with rays 3 nrs. 1 and 10. | |

23. |
Construct a circle concentric to circle 1, tangent to line 22. | |

24. |
Construct a circle centered at the intersection of circle 8 and ray 3 nr. 12, tangent to circle 9 at the near side. | |

25. |
Copy circle 24 four times, to the center of circle 1, and to the intersections of circle 8 with rays 3 nrs. 4, 6, and 14. | |

26. |
Draw four lines, two parallel to rays 3 nrs. 4 and 14, tangent to circles 25 at the lower sides, and two parallel to rays 3 nrs. 6 and 12, tangent to circles 24 and 25 at the upper sides. See detail. | |

27. |
Construct a circle centered at the lower intersection of circle 23 and the vertical centerline, tangent to the central circle 25 at the lower side. | |

28. |
Copy circle 27 to the righthand intersection of circle 1 and the horizontal centerline. | |

29. |
Construct a circle concentric to circle 1, tangent to circle 28 at the lefthand side. | |

30. |
Construct a "two-points" circle between the lower intersections of circles 23 and 27 with the vertical centerline. | |

31. |
Copy circle 30 seventeen times, to the center of circle 1, and to the intersections of circle 11 and rays 3. | |

32. |
Draw sixteen pairs of parallel lines, parallel to rays 3, tangent at both sides to the central circle 31 and the other circles 31, as shown. | |

33. |
Draw the connecting line between the righthand intersections of circles 6 and 20 with the horizontal centerline, and divide this line into five equal parts. | |

34. |
Construct four circles concentric to circle 1, passing through dividing nodes 33. See detail. | |

35. |
Remove all redundant parts from lines 3, and 26, and from circles 8, 9, and 23, such that the shown patterns remain. | |

36. |
Remove all redundant parts from circles 6, 20, and 34, and from lines 32, such that the shown patterns remain. | |

37. |
Circles 1, 11, 16, 17, 21, and 29, and patterns 35, and 36, are used for the final reconstruction. | |

38. |
Remove all parts not visible within the formation itself. | |

39. |
Colour all areas corresponding to standing... | |

40. |
...or to flattened crop, and finish the reconstruction of the 2021 Spiers Lane formation. | |

41. |
The final result, matched with two aerial images. |

Copyright © 2021, Zef Damen, The Netherlands |