Reconstruction of theHackpen Hill (3) 26-08-2012 formation | |||||

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

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

3. |
Draw three rays of circle 1, from its center to the upper lefthand, upper righthand and lower angular points of hexagon 2. | ||||

4. |
Divide upper lefthand ray 3 into six equal parts. Number the nodes from the center outwards 1 - 5. | ||||

5. |
Divide upper righthand ray 3 into six equal parts. Number the nodes from the center outwards 1 - 5. | ||||

6. |
Divide lower ray 3 into six equal parts. Number the nodes from the center downwards 1 - 5. | ||||

7. |
Copy upper lefthand ray 3 ten times, from the center of circle 1 to division nodes 5 and 6. | ||||

8. |
Copy upper righthand ray 3 ten times, from the center of circle 1 to division nodes 4 and 6. | ||||

9. |
Copy lower ray 3 ten times, from the center of circle 1 to division nodes 4 and 5. | ||||

10. |
Draw three line-segments, from the center of circle 1 to nodes 4, 5 and 6 nrs. 1. | ||||

11. |
Divide the upper line-segments 10 both into six equal parts. | ||||

12. |
Copy upper lefthand line-segment 10 five times, from the center of circle 1 to the righthand division nodes 11. | ||||

13. |
Copy upper righthand line-segment 10 five times, from the center of circle 1 to the lefthand division nodes 11. | ||||

14. |
Copy lower line-segment 10 ten times, from the center of circle 1 to all division nodes 11. Extend these lines upwards to the nearest lines 7 and 8. | ||||

15. |
Extend the lower line-segment 10 upwards to the intersection of the nearest lines 7 and 8. | ||||

16. |
Remove all redundant parts from lines 7, 8, 10, 12, 13, 14 and 15, such that the shown pattern remains. | ||||

17. |
Copy pattern 16, while rotating it 120° counterclockwise about the center of circle 1. | ||||

18. |
Copy pattern 16, while rotating it 120° clockwise about the center of circle 1. | ||||

19. |
Copy pattern 16 eight times, from the center of circle 1 to the nodes 4 and 5 nrs. 1-4. | ||||

20. |
Copy pattern 17 eight times, from the center of circle 1 to the nodes 4 and 6 nrs. 1-4. | ||||

21. |
Copy pattern 18 eight times, from the center of circle 1 to the nodes 5 and 6 nrs. 1-4. | ||||

22. |
Copy pattern 16, from the center of circle 1 to the upper angular point of hexagon 2, while rotating it 180°. | ||||

23. |
Copy pattern 17, from the center of circle 1 to the lower lefthand angular point of hexagon 2, while rotating it 180°. | ||||

24. |
Copy pattern 18, from the center of circle 1 to the lower righthand angular point of hexagon 2, while rotating it 180°. | ||||

25. |
Copy pattern 22 ten times, from the upper angular point of hexagon 2 to the intersections of the upper five lines 7 and 8 with the upper sides of hexagon 2. | ||||

26. |
Copy pattern 23 ten times, from the lower lefthand angular point of hexagon 2 to the intersections of the lower five lines 7 and the lefthand side of hexagon 2 and to the intersections of the lefthand five lines 9 and the lower lefthand side of hexagon 2. | ||||

27. |
Copy pattern 24 ten times, from the lower righthand angular point of hexagon 2 to the intersections of the lower five lines 8 and the righthand side of hexagon 2 and to the intersections of the righthand five lines 9 and the lower righthand side of hexagon 2. | ||||

28. |
Construct the circumscribed hexagon of circle 1, pointing to the right. | ||||

29. |
Construct the circumscribed circle of hexagon 28. | ||||

30. |
Construct the circumscribed dodecagon (regular 12-sided polygon) of circle 29, with the mid-point of a side on the vertical centerline. | ||||

31. |
Construct the circumscribed circle of dodecagon 30. | ||||

32. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the upper intersection of circle 1 and the lower intersection of circle 29, both with the vertical centerline. | ||||

33. |
Circles 1, 29, 31 and 32, and patterns 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 and 27, together make up the final reconstruction. High resolution dwf-file | ||||

34. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

35. |
...or to flattened crop, and finish the reconstruction of the Hackpen Hill (3) formation of 26-08-2012. High resolution dwf-file | ||||

36. |
Courtesy the Crop Circle Connector Photo by: Lucy Pringle | The final result, matched with the aerial image. | |||

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Copyright © 2012, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||