2019 Etchilhampton Hill formation
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Reconstruction of the 2019 Etchilhampton Hill formation | ||
| 1. |
| Draw a circle. Draw the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed dodecagon (regular 12-sided polygon) of circle 1, pointing up. |
| 3. |
| Construct the inscribed circle of dodecagon 2. |
| 4. |
| Construct the inscribed hexagon (regular 6-sided polygon) of circle 3, pointing up. |
| 5. |
| Construct the inscribed circle of hexagon 4. |
| 6. |
| Construct the inscribed square of circle 3, pointing up. |
| 7. |
| Construct the inscribed circle of square 6. |
| 8. |
| Construct the inscribed equilateral triangle of circle 3, pointing up. |
| 9. |
| Construct the inscribed circle of triangle 8. |
| 10. |
| Construct the inscribed equilateral triangle of circle 7, pointing up. |
| 11. |
| Construct the inscribed circle of triangle 10. |
| 12. |
| Construct a circle centered at the righthand intersection of circle 5 and the horizontal centerline, tangent to circle 7 at the righthand side. |
| 13. |
| Copy circle 12 to the center of circle 1. |
| 14. |
| Copy circle 11 to the upper intersection of circle 9 and the vertical centerline. |
| 15. |
| Copy circle 11 to the lower intersection of circle 14 and the vertical centerline. |
| 16. |
| Copy circle 7 to the center of circle 15. |
| 17. |
| Construct a circle centered at the upper intersection of circle 14 and the vertical centerline, tangent to circle 5 at the upper side. See detail. |
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| 18. |
| Copy circle 17 to the lower intersection of circle 15 and the vertical centerline. See detail. |
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| 19. |
| Copy circle 9 to the lower intersection of circle 18 and the vertical centerline. See detail. |
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| 20. |
| Copy circle 9 to the upper intersection of circle 19 and the vertical centerline. |
| 21. |
| Construct the "two-points" circle (defined by the two end-points of a centerline) between the lefthand intersections of circles 3 and 5 with the horizontal centerline. |
| 22. |
| Construct the "two-points" circle between the center of circle 21 and its lefthand intersection with the horizontal centerline. |
| 23. |
| Construct the "two-points" circle between the center of circle 21 and its righthand intersection with the horizontal centerline. |
| 24. |
| Construct a circle concentric to circle 1, passing through the center of circle 22. |
| 25. |
| Construct a circle concentric to circle 1, passing through the center of circle 21. |
| 26. |
| Construct a circle concentric to circle 1, passing through the center of circle 23. |
| 27. |
| Construct the "two-points" circle between the lower intersections of circles 3 and 24 with the vertical centerline. |
| 28. |
| Construct a circle concentric to circle 27, tangent to circle 25 at the lower side. |
| 29. |
| Construct a circle concentric to circle 27, tangent to circle 26 at the lower side. |
| 30. |
| Construct a circle concentric to circle 27, tangent to circle 5 at the lower side. |
| 31. |
| Copy circles 28, 29, and 30, to the lower angular point of dodecagon 2. |
| 32. |
| Copy circles 28, 29, and 30, to the adjacent angular point of dodecagon 2 to the right. |
| 33. |
| Copy circles 28, 29, and 30, to the center of circle 1. |
| 34. |
| Construct three parallel lines, tangent to circles 31 and 33 at the righthand sides. |
| 35. |
| Construct three parallel lines, tangent to circles 32 and 33 at the lower lefthand sides. |
| 36. |
| Remove all parts from circles 3, 5, 24, 25, and 26, and from lines 34, and 35, such that... |
| 37. |
| ...this pattern remains. |
| 38. |
| Repeat all necessary steps to copy pattern 37 eleven times, with respect to all other pairs of adjacent angular points of dodecagon 2, as shown. |
| 39. |
| Circles 1, 13, 15, 16, and 20, and patterns 37, and 38, together, make up the final reconstruction. |
| 40. |
| Colour all areas corresponding to standing... |
| 41. |
| ...or to flattened crop, and finish the reconstruction of the 2019 Etchilhampton Hill formation. |
| 42. |
| The final result, matched with the aerial image. |
| Copyright © 2019, Zef Damen, The Netherlands |
