Reconstruction of the Hackpen 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. | |||
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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. | |||||