Reconstruction of the 2014 Ackling Dyke formation | ||

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

2. |
Construct the inscribed pentagon (regular 5-sided polygon) of circle 1, pointing up. | |

3. |
Construct the inscribed circle of pentagon 2. | |

4. |
Construct the inscribed pentagon of circle 3, pointing down. | |

5. |
Draw the diagonal between the leftmost and rightmost angular points of pentagon 2. | |

6. |
Construct a circle concentric to circle 1, tangent to diagonal 5. | |

7. |
Copy circle 6 five times, to the angular points of pentagon 2. | |

8. |
Construct the inscribed pentagon of circle 6, pointing up. | |

9. |
Draw the diagonal between the leftmost and rightmost angular points of pentagon 8. | |

10. |
Construct a circle concentric to circle 1, tangent to diagonal 9. | |

11. |
Copy circle 10 five times, to the centers of circles 7. | |

12. |
Construct a circle centered at the lower angular point of pentagon 4, tangent to the lower righthand circle 7 at the lefthand side. | |

13. |
Copy circle 12 to the center of circle 1. | |

14. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the center of circle 12 and its lower intersection with the vertical centerline. | |

15. |
Copy circle 14 to the center of circle 1. | |

16. |
Copy circle 14 five times, to the angular points of pentagon 4. | |

17. |
Draw the five rays of pentagon 4, from the center of circle 1 to its angular points. | |

18. |
Construct a "two-points" circle between the center of the lower circle 16 and its lower intersection with the vertical centerline. | |

19. |
Copy circle 18 five times, to the intersections of circle 13 and rays 17. | |

20. |
Construct a circle centered at the upper intersection of upper circle 11 and the vertical centerline, tangent to upper circle 7 at the upper side. | |

21. |
Repeat step 20 four times, with respect to the other circles 11 and 7. | |

22. |
Draw two connecting lines, between the center of lower circle 16 and the centers of leftmost and rightmost circles 19. | |

23. |
Construct a circle centered at the upper intersection of circle 13 and the vertical centerline, tangent to circle 6 at the upper side. | |

24. |
Copy circle 23 three times, to the end-points of lines 22. | |

25. |
Construct two lines, parallel to lines 22 at the inner sides, tangent to circles 24, as shown. | |

26. |
Repeat steps 22 and 25 four times, with respect to the other circles 16 and 19. | |

27. |
Construct a "two-points" circle between the center of the lower circle 24 and its lower intersection with the vertical centerline. | |

28. |
Copy circle 27 to the center of circle 1. | |

29. |
Construct two parallel lines, tangent to circles 27 and 28 at both sides, and extend these lines upward upto circle 1. See detail. | |

30. |
Repeat step 29 four times, with respect to the other circles 11 and 16, as shown. | |

31. |
Circles 7, 11, 15, 16, 19, 20 and 21, and lines 22, 25, 26, 29 and 30, are used for the final reconstruction. | |

32. |
Remove all parts not visible within the formation itself. | |

33. |
Colour all areas corresponding to standing... | |

34. |
...or to flattened crop, and finish the reconstruction of the 2014 Ackling Dyke formation. | |

35. |
The final result, matched with the aerial image. |

Copyright © 2014, Zef Damen, The Netherlands |