Reconstruction of the Winterbourne Stoke Down 17-06-2018 formation | |||||
1. | ![]() | Draw a circle. Draw and extend the horizontal and vertical centerlines. | |||
2. | ![]() | Construct the inscribed decagon (regular 10-sided polygon) of circle 1, pointing up. Number the angular points clockwise 1 - 10, starting at the top. | |||
3. | ![]() | Draw the ten rays of circle 1, to the angular points of decagon 2. Number the rays according to the angular points. | |||
4. | ![]() | Draw the diagonal of decagon 2 between angular points nrs. 3 and 9. | |||
5. | ![]() | Construct a circle passing through angular point nr. 1, and passing through the intersections of rays 3 nrs. 2 and 10 and diagonal 4. | |||
6. | ![]() | Draw the diagonal of decagon 2 between angular points nrs. 2 and 8. | |||
7. | ![]() | Construct a circle passing through angular point nr. 10, and passing through the intersections of rays 3 nrs. 1 and 9 and diagonal 6. | |||
8. | ![]() | Construct a circle concentric to circle 1, passing through the lower intersection of circles 5 and 7. | |||
9. | ![]() | Construct a circle concentric to circle 1, passing through the upper intersection of circles 5 and 7. | |||
10. | ![]() | Construct the inscribed decagon of circle 9, pointing to the right. | |||
11. | ![]() | Construct a circle centered at the intersection of the upper side of decagon 10 and the vertical centerline, passing through the lower intersection of circle 5 and ray 3 nr. 2. | |||
12. | ![]() | Construct a circle concentric to circle 1, tangent to circle 11 at the upper side. | |||
13. | ![]() | Construct a line tangent to circle 7 at the righthand side, and parallel to rays 3 nrs. 1 and 6, and extend this line in both directions upto circle 1. | |||
14. | ![]() | Repeat step 13 nine times, with respect to the other corresponding rays 3. | |||
15. | ![]() | Remove from circles 5, 7, and 8, and lines 14, all parts.... | |||
16. | ![]() | ...such that the shown pattern remains. | |||
17. | ![]() | Copy pattern 16 four times, relative to rays 3 nrs. 2 and 3, 4 and 5, 6 and 7, and 8 and 9, as shown. | |||
18. | ![]() | (For reasons of clarity, the results of some previous steps are temporarily removed). Construct a circle concentric to circle 1, passing through the lower intersection of circle 5 and ray 3 nr. 2. | |||
19. | ![]() | Construct the inscribed decagon of circle 18, pointing to the right. | |||
20. | ![]() | Construct the inscribed circle of decagon 19. | |||
21. | ![]() | Construct a circle concentric to circle 1, passing through the upper intersection of circle 5 and ray 3 nr. 2. | |||
22. | ![]() | Draw the connecting line between the intersections of circles 5 and 21. | |||
23. | ![]() | Construct a circle concentric to circle 1, tangent to line 22. | |||
24. | ![]() | Construct the circumscribed decagon of circle 21, pointing to the right. | |||
25. | ![]() | Construct the circumscribed circle of decagon 24. | |||
26. | ![]() | Construct the inscribed circle of decagon 10. | |||
27. | ![]() | Construct a circle centered at the righthand intersection of circle 23 and the horizontal centerline, tangent to the nearest sides of decagon 24, as shown. | |||
28. | ![]() | Construct the inscribed pentagon (regular 5-sided polygon) of circle 12, pointing up. | |||
29. | ![]() | Copy circle 27 five times, to the angular points of pentagon 28. | |||
30. | ![]() | Extend line 13 upto circle 12. | |||
31. | ![]() | Copy line 30, while mirroring with respect to the vertical centerline. | |||
32. | ![]() | Repeat steps 30 and 31 four times, relative to the other angular points of pentagon 28. | |||
33. | ![]() | Construct a circle concentric to circle 1, passing through the outer mutual intersections of lines 14. | |||
34. | ![]() | Construct a line tangent to circle 33 at the righthand side, and parallel to rays 3 nrs. 1 and 6, and extending upto circle 1 in both directions. | |||
35. | ![]() | Repeat step 34 four times, with respect to rays 3 nrs. 3 and 8, 5 and 10, 7 and 2, and 9 and 4. | |||
36. | ![]() | Find the two angular points of decagon 19 in between rays 3 nrs. 1 and 2, and 5 and 6. Draw the connecting line between these two points, and extend this line upto circle 1 in both directions. | |||
37. | ![]() | Repeat step 36 four times, in a similar way as step 35. | |||
38. | ![]() | Construct a circle centered at the intersection of line 36 and the horizontal centerline, tangent to circle 33 at the righthand side. | |||
39. | ![]() | Construct a line tangent to circle 38 at the righthand side, and parallel to line 36, and extend this line upto circle 1 in both directions. | |||
40. | ![]() | Repeat step 39 four times, in a similar way as step 35. | |||
41. | ![]() | Copy circle 38 to the intersection of circle 26 and ray 3 nr. 1. | |||
42. | ![]() | Construct a circle concentric to circle 1, tangent to circle 41 at the lower side. | |||
43. | ![]() | Copy circle 38 to the intersection of circle 25 and ray 3 nr. 1. | |||
44. | ![]() | Construct a circle concentric to circle 1, tangent to circle 43 at the upper side. | |||
45. | ![]() | Copy circle 38 to the intersection of circle 20 and ray 3 nr. 1. | |||
46. | ![]() | Construct a circle concentric to circle 1, tangent to circle 45 at the upper side. | |||
47. | ![]() | Remove from circles 20, 23, 25, 26, 42, 44, and 46, and from lines 34, 35, 36, 37, 39, and 40, all parts.... | |||
48. | ![]() | ...such that these patterns remain. | |||
49. | ![]() | Circles 1, and 29, lines 30, 31, and 32, and patterns 16, 17, and 48, are used for the final reconstruction. | |||
50. | ![]() | Remove all parts not visible within the formation itself. pdf-file | |||
51. | ![]() | Colour all areas corresponding to standing... pdf-file | |||
52. | ![]() | ...or to flattened crop, and finish the reconstruction of the Winterbourne Stoke Down formation of 17-06-2018. pdf-file | |||
53. | ![]() Photo courtesy the Crop Circle Connector | The final result, matched with the aerial image. | |||
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Copyright © 2018, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||