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Reconstruction of the 2000 South Field formation | ||
| 1. | ![]() |
Start with drawing a circle. |
| 2. | ![]() |
Draw eight centerlines at mutual angles of 22.5°. |
| 3. | ![]() |
From the endpoints of the centerlines, draw diagonals to form a sharp 16-pointed star. |
| 4. | ![]() |
Draw a circle, concentric to the large one, with a radius determined by the points at which diagonals cross at right angles, as shown. |
| 5. | ![]() |
Draw eight circles, centered at the cross-points of the previous circle and eight "spokes" in an alternate way. These circles have common cross-points at the same circle and the other spokes in between. |
| 6. | ![]() |
Draw a circle, again concentric, touching the eight previous circles at the inner side. Draw 16 circles of equal size, centered at the endpoints of all spokes. |
| 7. | ![]() |
Draw a help line, also a "spoke", equally spaced between two existing spokes. |
| 8. | ![]() |
Centered at the endpoint of this help line, construct a small circle, going through the cross-points of the two neighbouring circles and the large circle of step 1. Draw an equally sized small circle at the endpoint of a spoke, concentric to a same neighbouring circle. |
| 9. | ![]() |
Draw two spokes up to the cross-points of the last small circle and the large circle. |
| 10. | ![]() |
Repeat this for all 16 circles. |
| 11. | ![]() |
The outer border of the formation is constructed using two help construction lines, each passing through endpoints of two alternate spokes, as shown. |
| 12. | ![]() |
The outer border is a circle concentric to the one of step 1, and passing through the cross-point of the two construction lines of the previous step. |
| 13. | ![]() |
All necessary parts have now been constructed. |
| 14. | ![]() |
After removing all superfluous parts, the reconstruction of the 2000 South Field formation shows up. |
| 15. | ![]() |
The final result, matched with the aerial image. |
| Copyright © 2000, Zef Damen, The Netherlands |