Reconstruction of the2000 North Down formation |
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1. |
Draw a circle. It forms the outer border of the formation. | ||||

2. |
Construct a regular 11-sided polygon inscribed in this circle. (Note that this can not be done by the strict "ruler-and-compass" construction method; the corner-points can be found by calculating the coordinates). | ||||

3. |
Construct the inscribed circle of the polygon. It forms the inner border of the ring. | ||||

4. |
Draw all the diagonals of the polygon from corner-points four apart. | ||||

5. |
Construct the inscribed circle of the diagonals. It forms the inner circle of the formation. | ||||

6. |
Draw the 11 "rays" from the center to the corner-points of the polygon. | ||||

7. |
Construct a circle, centered at the intersection of the inner ring border and a ray, and tangent to the inner circle at the near side, as shown. | ||||

8. |
Repeat this for all 11 rays. | ||||

9. |
Construct a circle, centered at the intersection of the inner circle and a ray, and tangent to two circles of step 8, six apart, three to the left and three to the right, as shown. | ||||

10. |
Construct a circle, concentric with the one of step 7, and tangent to the last circle (step 9) at the far side, as shown. | ||||

11. |
Copy the circle of step 9 with its center at the righthand side intersection of the large circle of step 10 and the inner ring border, as shown. | ||||

12. |
Repeat this for all 11 directions. Now, all necessary parts are ready. | ||||

13. |
Trimming away all superfluous parts will yield the reconstruction of the 2000 North Down formation. | ||||

14. |
courtesy The Crop Circle Connector photo by: Steve Alexander | The final result, matched with the aerial image. | |||

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Copyright © 2000, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||

Since 1-February-2005 |