Reconstruction of theEtchilhampton Hill 25-07-2004 formation | |||||

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

2. |
Construct the inscribed regular 13-sided polygon of circle 1, pointing to the right. | ||||

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

4. |
Draw the thirteen rays of polygon 2. | ||||

5. |
Draw the connecting line between the intersections of circle 3 with the rightmost and, from here, with the fourth ray 4, counted counterclockwise, as shown. | ||||

6. |
Draw similar lines for the corresponding pairs of intersections of circle 3 with all other rays 4, twelve lines in total. | ||||

7. |
Construct a circle concentric to circle 1, passing through the second ring of mutual intersections of lines 6 (and 5), counted from outside. | ||||

8. |
Construct the inscribed circle of the regular 13-sided polygon enclosed by lines 5 and 6. | ||||

9. |
Construct the inscribed undecagon (regular 11-sided polygon) of circle 8, with one angular point coincident with the intersection of circle 8 and the fourth ray 4, counted clockwise from the rightmost one (inclusive), as shown. | ||||

10. |
Draw the connecting line between the angular point, mentioned in step 9, and the fourth angular point from here, both of undecagon 9, counted counterclockwise, as shown. | ||||

11. |
Draw similar lines for the other corresponding pairs of angular points of undecagon 9, ten lines in total. | ||||

12. |
Construct a circle concentric to circle 1, passing through the second ring of mutual intersections of lines 11 (and 10), counted from outside. | ||||

13. |
Construct the inscribed circle of the undecagon enclosed by lines 10 and 11. | ||||

14. |
Construct the inscribed heptagon (regular 7-sided polygon) of circle 13, with one angular point coincident with the intersection of circle 13 and the fifth ray 4, counted clockwise from the rightmost one (inclusive), as shown. Note, that all used regular polygons (13-, 11-, and 7-sided) can not be constructed exactly by the ruler-and-compass construction method. The best approximation is to calculate the co-ordinates of the angular points as accurately as needed. | ||||

15. |
Draw the connecting line between the angular point, mentioned in step 14, and the fourth angular point from here, both of heptagon 14, counted counterclockwise (which is of course the third one counted clockwise), as shown. | ||||

16. |
Draw similar lines for the other corresponding pairs of angular points of heptagon 14, six lines in total. | ||||

17. |
Construct a seven-pointed star similar to lines 15 and 16, inscribed in the heptagon enclosed by lines 15 and 16, as shown. | ||||

18. |
Construct the inscribed circle of the heptagon enclosed by star 17. | ||||

19. |
Construct the circumscribed circle of star 17. | ||||

20. |
Draw the seven rays from the center of circle 19 to the angular points of the seven-pointed star surrounding circle 19 (and enclosed by lines 15 and 16), as shown. | ||||

21. |
Construct a circle centered at the intersection of circle 19 and the lowest ray 20, tangent to the closest line 16, as shown. | ||||

22. |
Copy circle 21 six times, to the intersections of circle 19 and the other rays 20. | ||||

23. |
Circles 1, 7, 8, 12, 13, 18, 21 and 22, and lines 5, 6, 10, 11, 15 and 16, together, make up all necessary parts for the final reconstruction. | ||||

24. |
Remove all superfluous parts not visible in the formation itself. High resolution dwf-file | ||||

25. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

26. |
...or to flattened crop. This will finish the reconstruction of the Etchilhampton Hill formation of 25-07-2004. High resolution dwf-file | ||||

27. |
courtesy the Crop Circle Connector photo by: Steve Alexander | The final result, matched with the aerial image. | |||

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Copyright © 2004, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||

Since 1-Februari-2005 |