2008 Hodson formation
Notice, that 4 (square 2) x 5 (pentagon 4) x 5 (pentagon 6) = 100!
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Reconstruction of the 2008 Hodson formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed square of circle 1, pointing to the right. |
| 3. |
| Construct the inscribed circle of square 2. |
| 4. |
| Construct the inscribed pentagon (regular 5-sided polygon) of circle 3, pointing up. |
| 5. |
| Construct the inscribed circle of pentagon 4. |
| 6. |
| Construct the inscribed pentagon of circle 5, pointing down. Notice, that 4 (square 2) x 5 (pentagon 4) x 5 (pentagon 6) = 100! |
| 7. |
| Construct a circle, the centerline (diameter) of which coincides with the upper side of pentagon 6. |
| 8. |
| Copy circle 7 to the center of circle 1. |
| 9. |
| Copy circle 7 to the righthand intersection of circle 5 and the horizontal centerline. |
| 10. |
| Construct a circle concentric to circle 1, tangent to circle 9 at the righthand side. |
| 11. |
| Copy circle 7 to the righthand intersection of circle 10 and the horizontal centerline. |
| 12. |
| Construct a circle concentric to circle 1, tangent to circle 11 at the righthand side. |
| 13. |
| Construct a "two-points" circle, defined by the end-points of a centerline (diameter), between the intersection of the upper side of pentagon 6 and the upper intersection of circle 5, both with the vertical centerline. |
| 14. |
| Copy circle 13 to the righthand intersection of circle 12 and the horizontal centerline. |
| 15. |
| Construct a circle concentric to circle 1, tangent to circle 14 at the righthand side. |
| 16. |
| Construct the inscribed regular 100-sided polygon of circle 12, pointing to the right. |
| 17. |
| Draw the 100 rays of polygon 16, from the center of circle 1 to the angular points. Number the rays counterclockwise, starting with 0 for the rightmost ray, as shown. |
| 18. |
| Remove all rays 17, except for the parts of rays nrs. 1, 8, 60 and 84 in between circles 8 and 5, for the parts of rays nrs. 4, 33, 50, 69, 91 and 94 in between circles 3 and 10, and for the parts of rays nrs. 9, 18, 35, 48, 77 and 95 in between circles 1 and 12, as shown. |
| 19. |
| Circles 1, 3, 5, 8, 10, 12 and 15, and lines 18 are used for the final reconstruction. |
| 20. |
| Remove all other parts not visible within the formation itself. |
| 21. |
| Colouring all areas corresponding to standing... |
| 22. |
| ...or to flattened crop, will complete the reconstruction of the 2008 Hodson formation. |
| 23. |
| The final result, matched with the aerial image. |
| Copyright © 2008, Zef Damen, The Netherlands |
