Reconstruction of the
2020 Dorset formation |
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1. |
| Draw a circle. Draw and extend the horizontal and vertical centerlines.
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2. |
| Construct the inscribed regular 24-sided polygon of circle 1, pointing up. Draw the 24 rays of this polygon, from the center to its angular points.
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3. |
| Construct the inscribed dodecagon (regular 12-sided polygon) of circle 1, pointing up.
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4. |
| Construct the inscribed circle of dodecagon 3.
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5. |
| Construct the inscribed square of circle 4, with horizontal and vertical sides.
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6. |
| Construct the inscribed circle of square 5.
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7. |
| Construct a circle centered at the righthand intersection of circle 4 and the horizontal centerline, tangent to circle 1 at the righthand side.
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8. |
| Copy circle 7 to the righthand intersection of circle 6 and the horizontal centerline.
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9. |
| Construct a circle concentric to circle 1, tangent to circle 8 at the lefthand side.
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10. |
| Construct the inscribed equilateral triangle of circle 4, pointing to the left.
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11. |
| Construct the inscribed circle of triangle 10.
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12. |
| Copy circle 7 to the righthand intersection of circle 11 and the horizontal centerline.
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13. |
| Construct a circle concentric to circle 1, tangent to circle 12 at the righthand side.
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14. |
| Construct a circle tangent to the righthand rays 2 just above and below the horizontal centerline, and tangent to circle 11 at the righthand side, from outside, as shown.
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15. |
| Construct a circle concentric to circle 1, tangent to circle 14 at the righthand side.
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16. |
| Copy circle 7 to the righthand intersection of circle 15 and the horizontal centerline.
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17. |
| Construct a circle concentric to circle 1, tangent to circle 16 at the righthand side.
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18. |
| Construct a circle centered at the righthand intersection of circle 6 and the horizontal centerline, tangent to circle 17 at the lefthand side.
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19. |
| Copy circle 18 to the righthand intersection of circle 11 and the horizontal centerline.
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20. |
| Construct a circle concentric to circle 1, tangent to circle 19 at the lefthand side.
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21. |
| Copy circle 7 to the righthand intersection of circle 20 and the horizontal centerline.
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22. |
| Construct a circle concentric to circle 1, tangent to circle 21 at the lefthand side.
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23. |
| Copy circle 18 to the center of circle 1.
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24. |
| Copy circle 7 to the righthand intersection of circle 23 and the horizontal centerline.
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25. |
| Construct a circle concentric to circle 1, tangent to circle 24 at the righthand side.
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26. |
| Construct a "two-points" circle (defined by the two end-points of a centerline) between the righthand intersections of circles 22 and 23 with the horizontal centerline.
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27. |
| Construct a circle concentric to circle 1, passing through the center of circle 26.
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28. |
| Construct a circle centered at the righthand intersection of circle 4 and the horizontal centerline, tangent to circle 17 at the righthand side.
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29. |
| Copy circle 28 to the righthand intersection of circle 1 and the horizontal centerline.
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30. |
| Construct a circle concentric to circle 28, tangent to circle 29 at the lefthand side.
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31. |
| Copy circle 30 eleven times, to the corresponding positions with respect to the other angular points of dodecagon 3, as shown.
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32. |
| Construct a "two-points" circle between the upper intersections of circles 1 and 4 with the vertical centerline.
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33. |
| Copy circle 32 twentyfour times, one to the center of circle 1, the others to the corresponding positions with respect to the other rays 2, as shown.
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34. |
| Construct two parallel lines, tangent to circle 32 and the central circle 33 at both sides.
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35. |
| Repeat step 34 twentythree times, with respect to the central and all other circles 33, as shown.
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36. |
| Circles 1, 4, 6, 9, 11, 13, 15, 17, 20, 22, 23, 25, 27, 30, and 31, and lines 34, and 35, are used for the final reconstruction.
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37. |
| Remove all parts not visible within the formation itself.
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38. |
| Colour all areas corresponding to standing...
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39. |
| ...or to flattened crop, and finish the reconstruction of the 2020 Dorset formation.
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40. |
| The final result, matched with two aerial images.
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