Reconstruction of the 2015 Hoo Mill formation | ||

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

2. |
Construct the inscribed octagon (regular 8-sided polygon) of circle 1, pointing up. Number the angular points clockwise 1 - 8, starting at the top. | |

3. |
Draw four diagonals of octagon 2, connecting angular points 2 and 4, 4-6, 6-8 and 8-2. (Diagonals will be denoted by the pair of angular points).
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4. |
Draw four diagonals of octagon 2: 1-3, 3-5, 5-7, 7-1. | |

5. |
Draw eight diagonals 1-4, 2-5, 3-6, 4-7, 5-8, 6-1, 7-2, and 8-3. | |

6. |
Draw the eight rays of octagon 2. Number the rays according to the angular points. | |

7. |
Construct a circle centered at the intersection of diagonal 1-3 and ray 6 nr. 2, tangent to diagonal 1-4. | |

8. |
Copy circle 7 to the center of circle 1. | |

9. |
Draw the connecting line between the intersection of circle 7 and diagonal 1-4 (tangent point) and angular point of octagon 2 nr. 7. | |

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

11. |
Construct a circle centered at the righthand end-point of line 9, passing through the intersection of line 9 and circle 10 (tangent point). | |

12. |
Construct a circle concentric to circle 1, tangent to circle 11 at the upper righthand side. | |

13. |
Copy circle 10 to angular point of octagon 2 nr. 5. | |

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

15. |
Construct a circle concentric to circle 10, tangent to circle 13 at the upper side. | |

16. |
Construct a circle concentric to circle 10, tangent to circle 1 at the lower side. | |

17. |
Construct a circle centered at the righthand intersection of circle 16 and the horizontal centerline, tangent to circle 1 at the righthand side. | |

18. |
Construct a circle concentric to circle 10, passing through the righthand intersection of circle 17 and the horizontal centerline. | |

19. |
Extend rays 6 upto circle 18. | |

20. |
Construct a circle centered at the lower intersection of circle 13 and the vertical centerline, tangent to circle 13 at the upper side. | |

21. |
Copy circle 20 eight times, to the intersections of circle 18 and lines 19. Move the upper lefthand circle (copy and remove original) to its own upper righthand intersection with circle 18. | |

22. |
Draw the connecting line between the intersection of diagonals 7-2 and 8-3, and the intersection of diagonal 6-1 and circle 12, and extend this line upto circle 18. | |

23. |
Copy circle 10 to the intersection of circle 18 and line 22. | |

24. |
Copy circle 10 two times, to angular points of octagon 2 nrs. 2 and 8. | |

25. |
Draw two lines, both tangent to circle 10, and tangent to circles 24, all at the upper sides. | |

26. |
Draw two connecting lines, both from angular point of octagon 2 nr. 1 to the intersections of circle 8 and rays 6 nrs. 2 and 8. | |

27. |
Copy circle 10 three times, to the end-points of lines 26. | |

28. |
Construct two pairs of parallel lines, parallel to lines 26, tangent to circles 27 at both sides. | |

29. |
Create the shown pattern from lines 26 and 28, by removing redundant parts. | |

30. |
Copy pattern 29 seven times, by repeating steps 24 through 29, with respect to the other angular points of octagon 2, as shown. | |

31. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 10 and its lower intersection with the vertical centerline. | |

32. |
Copy circle 31 ten times, to the angular points of octagon 2 nrs. 7, 8, 1, 2, and 3, and to the intersections of the corresponding lines 19 and circle 16. | |

33. |
Construct five pairs of parallel lines, parallel to lines 19, tangent to circles 32 at both sides, as shown. | |

34. |
Circles 8, 12, 14, 15, 16, 18, 21, and 23, patterns 29 and 30, and lines 33, are used for the final reconstruction. | |

35. |
Remove all parts not visible within the formation itself. | |

36. |
Colour all areas corresponding to standing... | |

37. |
...or to flattened crop, and finish the reconstruction of the 2015 Hoo Mill formation. | |

38. |
The final result, matched with the aerial image. |

Copyright © 2015, Zef Damen, The Netherlands |