Reconstruction of the 2015 Foxley Road formation | ||

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

2. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 1 and its righthand intersection with the horizontal centerline. | |

3. |
Construct a "two-points" circle between the centers of circles 1 and 2. | |

4. |
Copy circle 3 to the center of circle 1. | |

5. |
Construct the inscribed square of circle 4, with horizontal and vertical sides. Call the angular points A, B, C, and D, clockwise, starting at the lower lefthand one. | |

6. |
Construct a circle centered at point A, passing through point D. | |

7. |
Draw a line from point A parallel to the horizontal centerline, extending to the left. See detail. | |

8. |
Construct a circle centered at the intersection of circle 6 and line 7, passing through point D. | |

9. |
Copy circle 8 to the lower intersection of square 5 and the vertical centerline. | |

10. |
Copy circle 9 twenty times, the first to its lefthand intersection with line 7, the others consecutively to their corresponding intersections, as shown. See detail. | |

11. |
Construct a circle centered at point A, tangent to the leftmost circle 10 at the lefthand side. See detail. | |

12. |
Draw a line from point B parallel to the vertical centerline, extending upward. See detail. | |

13. |
Construct twenty arcs, centered at point A, from the lefthand intersections of circles 10 and line 7 upto line 12, clockwise, as shown. | |

14. |
Draw a line from point C parallel to the horizontal centerline, extending to the right. | |

15. |
Construct eighteen arcs, centered at point B, from the intersections of arcs 13, except for the two innermost arcs, and line 12 upto line 14, clockwise. | |

16. |
Draw a line from point D parallel to the vertical centerline, extending downward. | |

17. |
Construct eighteen arcs, centered at point C, from the intersections of arcs 15 and line 14 upto line 16, clockwise. | |

18. |
Construct eighteen arcs, centered at point D, from the intersections of arcs 17 and line 16 upto line 7, clockwise.Notice, that arcs 13, 15, 17, and 18, are a piecewise approximation of a real spiral!
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19. |
Construct a circle centered at the intersection of circle 1 and line 12, passing through the intersection of the second smallest arc 13 and line 12. | |

20. |
Construct a circle concentric to circle 19, passing through the intersection of the smallest arc 13 and line 12. | |

21. |
Construct the inscribed regular 20-sided polygon of circle 11, pointing up. | |

22. |
Draw a line from point A to the lefthand angular point of polygon 21, just above the horizontal centerline. See detail. | |

23. |
Circles 1, 19, and 20, arcs 13, 15, 17, and 18, and line 22 are used for the final reconstruction. | |

24. |
Remove all parts not visible within the formation itself. | |

25. |
Colour all areas corresponding to standing... | |

26. |
...or to flattened crop, and finish the reconstruction of the 2015 Foxley Road formation. | |

27. |
The final result, matched with the aerial image. |

Copyright © 2015, Zef Damen, The Netherlands |