Reconstruction of the 2014 Tetbury Lane formation | ||

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

2. |
Draw the righthand ray of circle 1, from its center to its righthand intersection with the horizontal centerline. Divide this line into five equal parts. | |

3. |
Construct four circles concentric to circle 1, passing through division nodes 2. | |

4. |
Construct the five inscribed equilateral triangles of circles 1 and 3, all pointing up. Number the triangles 1 - 5 from inside outwards. | |

5. |
Construct the inscribed equilateral triangle of innermost circle 3, pointing down. | |

6. |
Draw the connecting line between the righthand angular points of triangle 4 nr. 1 and triangle 5. | |

7. |
Construct a circle centered at the intersection of line 6 and the horizontal centerline, tangent to innermost circle 3 at the righthand side. | |

8. |
Copy circle 7 four times, to the tops of triangles 4 nrs. 1 - 4. | |

9. |
Construct four circles concentric to circle 1, tangent to circles 8 at the upper sides. Number these circles 1 - 4 from inside outwards. | |

10. |
Construct the circumscribed equilateral triangle of circle 9 nr. 2, pointing up. | |

11. |
Copy circle 7 two times, to the mid-points of the lower sides of triangles 4 nrs. 3 and 5. | |

12. |
Construct two circles concentric to circle 1, tangent to circles 11 at the lower sides. | |

13. |
Construct the two circumscribed equilateral triangles of circles 12, pointing up. | |

14. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 7 and its righthand intersection with the horizontal centerline. | |

15. |
Construct a "two-points" circle between the center of circle 14 and its righthand intersection with the horizontal centerline. | |

16. |
Copy circle 15 four times, to the center of circle 1, and to the angular points of outermost triangle 13. | |

17. |
Construct three pairs of parallel lines, tangent to central circle 16, and two by two tangent to the other circles 16, all at both sides, as shown. See detail. | |

18. |
Copy circle 7 to the top of outermost triangle 13. See detail. | |

19. |
Construct a circle concentric to circle 1, tangent to circle 18 at the upper side. | |

20. |
Circles 3, 9 and 19, triangles 4, 10 and 13, and lines 17, are used for the final reconstruction. | |

21. |
Remove all parts not visible within the formation itself. | |

22. |
Colour all areas corresponding to standing... | |

23. |
...or to flattened crop, and finish the reconstruction of the 2014 Tetbury Lane formation. | |

24. |
The final result, matched with the aerial image. |

Copyright © 2014, Zef Damen, The Netherlands |