Reconstruction of the
2007 Clifford's Hill formation |
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| 1. |
| Draw a square with sides horizontal and vertical.
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| 2. |
| Construct a square on top of square 1, taking the upper side as its basis.
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| 3. |
| Construct a square to the right of square 2, taking the righthand sides of squares 1 and 2 as its lefthand side.
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| 4. |
| Construct a square on top of squares 2 and 3, taking their upper sides as its basis.
Notice that the sides of squares 1, 2, 3 and 4, and the righthand sides of squares 3 and 4 together, have ratios of 1:1:2:3:5, the first five numbers of the Fibonacci series. Continuing this construction sequence will eventually yield an enclosing rectangle, the sides of which has a ratio of the "Golden Number": 0.618...
(For a reference to the nice site of R. Knott about the Fibonacci-series and the Golden Number, see also my construction page for an inscribed pentagon).
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| 5. |
| Construct a circle centered at the lower lefthand angular point of square 1, passing through the lower righthand angular point of square 3.
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| 6. |
| Construct a circle concentric to circle 5, passing through the upper lefthand angular point of square 4.
(The radii of circles 5 and 6 have a ratio of 3:5).
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| 7. |
| Copy circle 6 to the upper lefthand angular point of square 4.
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| 8. |
| Copy circle 6 two times, to its both intersections with circle 7.
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| 9. |
| Copy circle 6 two times, to its both lower intersections with circles 8.
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| 10. |
| Copy circle 6 to its lower intersections with circles 9.
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| 11. |
| Copy circle 5 six times, to the centers of circles 7, 8, 9 and 10.
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| 12. |
| Extend the lefthand side of square 4 up to circle 7.
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| 13. |
| Construct a circle concentric to circle 5, passing through the intersection of circle 7 and line 12.
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| 14. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 13, pointing up.
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| 15. |
| Copy circles 5 and 6 as a whole six times, to the angular points of hexagon 14.
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| 16. |
| Circles 7, 8, 9 10, 11 and 15 are used for the final reconstruction.
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| 17. |
| Remove everything not visible in the formation itself.
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| 18. |
| Colouring all areas with standing...
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| 19. |
| ...or flattened crop, will finish the reconstruction of the 2007 Clifford's Hill formation.
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| 20. |
| The final result, matched with the aerial image.
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