2022 Etchilhampton Hill formation
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Reconstruction of the 2022 Etchilhampton Hill formation | ||
| 1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines. |
| 2. |
| Construct the inscribed regular 16-sided polygon of circle 1, pointing up. Draw the sixteen rays, from the center to the angular points. Number these rays as well as the angular points, clockwise, 1 - 16, starting at the top. |
| 3. |
| Draw the connecting line between angular points 2 nrs. 4 and 6. |
| 4. |
| Construct a circle centered at the intersection of ray 2 nr. 5 and line 3, passing through angular point 2 nr. 4. |
| 5. |
| Construct a circle concentric to circle 1, tangent to circle 4 at the lefthand side. |
| 6. |
| Draw the connecting line between angular points 2 nrs. 3 and 10. |
| 7. |
| Construct a circle concentric to circle 1, passing through the intersection of line 6 and the horizontal centerline. |
| 8. |
| Copy circle 7 to the center of circle 4. |
| 9. |
| Construct a circle concentric to circle 1, tangent to circle 8 at the lefthand side. |
| 10. |
| Draw the connecting line between angular points 2 nrs. 3 and 7. |
| 11. |
| Construct a circle centered at the intersection of line 10 and the horizontal centerline, tangent to circle 8 at the lefthand side. |
| 12. |
| Construct a circle concentric to circle 1, tangent to circle 11 at the righthand side. |
| 13. |
| Construct a circle centered at the lefthand intersection and passing through the righthand intersection of circle 11 and the horizontal centerline. |
| 14. |
| Copy circle 13 nine times, to the righthand intersection of circle 1 and the horizontal centerline, and to the intersections of circle 5 and rays 2 nrs. 2, 3, 4, 5, 13, 14, 15, and 16. |
| 15. |
| Construct a circle concentric to circle 1, tangent to the rightmost circle 14 at the righthand side. |
| 16. |
| Draw four connecting lines, between the intersections of circle 9 and rays 2 nrs. 1 and 7, and nrs. 1 and 11, and from angular points 2 nrs. 2 and 16 to the intersections of circle 9 and rays 2 nrs. 11 and 7 respectively, as shown. |
| 17. |
| Draw the connecting line between the intersections of circle 7 and inner (lower) lines 16. Extend this line upto circle 9 in both directions, as shown. |
| 18. |
| Construct a circle concentric to the leftmost circle 14, tangent to line 17. |
| 19. |
| Construct a circle concentric to circle 1, tangent to circle 18 at the righthand side. |
| 20. |
| Construct a circle concentric to circle 1, tangent to circle 18 at the lefthand side. |
| 21. |
| Draw two connecting lines, from the intersection of circle 19 and ray 2 nr. 1 to the intersections of circle 9 and rays 2 nrs. 7 and 11. |
| 22. |
| Copy circle 13 to the intersection of line 17 and ray 2 nr. 9. |
| 23. |
| Construct a (horizontal) line parallel to line 17, tangent to circle 22 at the lower side, and extending to circle 9 in both directions. |
| 24. |
| Draw two connecting lines, from the intersection of circle 9 and ray 2 nr. 9, to its intersections with line 23. |
| 25. |
| Construct a circle concentric to circle 22, passing through the center of circle 1. |
| 26. |
| Draw the connecting line between angular points 2 nrs. 6 and 12. |
| 27. |
| Construct a circle centered at the intersection of ray 2 nr. 9 and line 26, tangent to circle 7 at the lower side. |
| 28. |
| Draw the connecting line between the intersections of circles 19 and 27. |
| 29. |
| Copy circle 27 to the intersection of ray 2 nr. 9 and line 28. |
| 30. |
| Construct a circle centered at the intersection of circle 7 and ray 2 nr. 9, tangent to circle 29 at the upper side. |
| 31. |
| Draw the connecting line between the intersections of circles 7 and 30. |
| 32. |
| Copy circle 30 to the intersection of ray 2 nr. 9 and line 31. |
| 33. |
| Draw the connecting line between the intersection of circle 12 and ray 2 nr. 9 and angular point 2 nr. 10. |
| 34. |
| Copy circle 13 to the intersection of circle 12 and ray 2 nr. 9. |
| 35. |
| Construct a circle centered at the lower intersection of circle 34 and ray 2 nr. 9, tangent to line 33, and move this circle (copy and delete original) to angular point 2 nr. 10. |
| 36. |
| Construct a line from the lower intersection of circle 34 and ray 2 nr. 9, tangent to circle 35 at the lower side. |
| 37. |
| Copy circle 13 to the lower intersection of circle 34 and ray 2 nr. 9. |
| 38. |
| Construct a circle centered at the lower intersection of circle 37 and ray 2 nr. 9, tangent to line 33, and move this circle to the center of circle 35. |
| 39. |
| Construct a line from the lower intersection of circle 37 and ray 2 nr. 9, tangent to circle 38 at the lower side. |
| 40. |
| Copy circle 13 to the lower intersection of circle 37 and ray 2 nr. 9. |
| 41. |
| Construct a circle centered at the lower intersection of circle 40 and ray 2 nr. 9, tangent to line 33, and move this circle to the center of circle 35. |
| 42. |
| Construct a line from the lower intersection of circle 40 and ray 2 nr. 9, tangent to circle 41 at the lower side. |
| 43. |
| Copy circle 13 to the lower intersection of circle 40 and ray 2 nr. 9. |
| 44. |
| Construct a circle centered at the lower intersection of circle 43 and ray 2 nr. 9, tangent to line 33, and move this circle to the center of circle 35. |
| 45. |
| Construct a line from the lower intersection of circle 43 and ray 2 nr. 9, tangent to circle 44 at the lower side. |
| 46. |
| Copy circles 35, 38, 41, and 44, to angular point 2 nr. 8. |
| 47. |
| Copy lines 33, 36, 39, 42, and 45, while mirroring with respect to ray 2, nr. 9, as shown. |
| 48. |
| Draw the connecting line between angular points 2 nrs. 8 and 15. |
| 49. |
| Copy circle 13 three times, to the intersections of circle 9 and the outer (upper) lines 16, as shown. |
| 50. |
| Copy circle 13 to the intersection of the inner (lower) lines 16, as shown. |
| 51. |
| Construct four lines parallel to lines 16 at the outer and inner sides, tangent to circles 49 and 50 at the corresponding sides, as shown. |
| 52. |
| Remove from circles 1 and 12, and lines 6, 33, 36, 39, 42, 45, 47, and 48, all redundant parts... |
| 53. |
| ...such, that this pattern remains. |
| 54. |
| Copy pattern 53 seven times, with respect to angular points 2 nrs. 1, 3, 5, 7, 11, 13, and 15, as shown. |
| 55. |
| Remove from circles 5, 14, 19, and 20, and lines 17, and 51, all redundant parts... |
| 56. |
| ...such, that this pattern remains. |
| 57. |
| Remove from rays 2, and lines 16, and 21, all redundant parts... |
| 58. |
| ...such, that this pattern remains. |
| 59. |
| Remove from circles 25, 29, and 32, and lines 23, 24, and 51, all redundant parts... |
| 60. |
| ...such, that this pattern remains. |
| 61. |
| Circle 15, and patterns 53, 54, 56, 58, and 60, together, make up the final reconstruction. |
| 62. |
| Colour all areas corresponding to standing... |
| 63. |
| ...or to flattened crop, and finish the reconstruction of the 2022 Etchilhampton Hill formation. |
| 64. |
| The final result, matched with the aerial image. |
| Copyright © 2022, Zef Damen, The Netherlands |
