Reconstruction of theHerepath 2-07-2021 formation | |||||

1. |
Draw a circle. Draw and extend the horizontal and vertical centerlines. | ||||

2. |
Construct the inscribed hexagon (regular six-sided polygon) of circle 1, pointing up. | ||||

3. |
Construct the inscribed regular 29-sided polygon of circle 1, pointing up. | ||||

4. |
Draw the twenty-nine rays of polygon 3, from the center to the angular points. Number the rays 1 - 29, clockwise, starting at the top. | ||||

5. |
Construct the inscribed hexagon of hexagon 2, with one angular point on the intersection of hexagon 2 and ray 4 nr. 2.In the following steps, this is repeated sixteen times, relative to the most recently added hexagon and each consecutive ray 4.
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6. |
Construct the inscribed hexagon of hexagon 5, with one angular point on the intersection of hexagon 5 and ray 4 nr. 3. | ||||

7. |
Construct the inscribed hexagon of hexagon 6, with one angular point on the intersection of hexagon 6 and ray 4 nr. 4. | ||||

8. |
Construct the inscribed hexagon of hexagon 7, with one angular point on the intersection of hexagon 7 and ray 4 nr. 5. | ||||

9. |
Construct the inscribed hexagon of hexagon 8, with one angular point on the intersection of hexagon 8 and ray 4 nr. 6. | ||||

10. |
Construct the inscribed hexagon of hexagon 9, with one angular point on the intersection of hexagon 9 and ray 4 nr. 7. | ||||

11. |
Construct the inscribed hexagon of hexagon 10, with one angular point on the intersection of hexagon 10 and ray 4 nr. 8. | ||||

12. |
Construct the inscribed hexagon of hexagon 11, with one angular point on the intersection of hexagon 11 and ray 4 nr. 9. | ||||

13. |
Construct the inscribed hexagon of hexagon 12, with one angular point on the intersection of hexagon 12 and ray 4 nr. 10. | ||||

14. |
Construct the inscribed hexagon of hexagon 13, with one angular point on the intersection of hexagon 13 and ray 4 nr. 11. | ||||

15. |
Construct the inscribed hexagon of hexagon 14, with one angular point on the intersection of hexagon 14 and ray 4 nr. 12. | ||||

16. |
Construct the inscribed hexagon of hexagon 15, with one angular point on the intersection of hexagon 15 and ray 4 nr. 13. | ||||

17. |
Construct the inscribed hexagon of hexagon 16, with one angular point on the intersection of hexagon 16 and ray 4 nr. 14. | ||||

18. |
Construct the inscribed hexagon of hexagon 17, with one angular point on the intersection of hexagon 17 and ray 4 nr. 15. | ||||

19. |
Construct the inscribed hexagon of hexagon 18, with one angular point on the intersection of hexagon 18 and ray 4 nr. 16. | ||||

20. |
Construct the inscribed hexagon of hexagon 19, with one angular point on the intersection of hexagon 19 and ray 4 nr. 17. | ||||

21. |
Construct the inscribed hexagon of hexagon 20, with one angular point on the intersection of hexagon 20 and ray 4 nr. 18. | ||||

22. |
Construct a circle centered at the intersection of circle 1 and ray 4 nr. 2, tangent to the upper righthand side of hexagon 2. | ||||

23. |
Construct a circle concentric to circle 1, tangent to circle 22 at the upper righthand side. | ||||

24. |
Extend ray 4 nr. 2 upto circle 22. | ||||

25. |
Construct the inscribed equilateral triangle of circle 22, with one angular point on its intersection with line 24. | ||||

26. |
Construct a circle tangent to circle 22 at the inner side, and tangent to the upper lefthand and righthand sides of triangle 25. | ||||

27. |
Construct a circle centered at the intersection of circle 26 and line 24, tangent to circle 1 at the upper side. | ||||

28. |
Construct two circles concentric to circle 1, tangent to circles 26 and 27 at the upper sides. See detail. | ||||

29. |
Copy circle 27 eighteen times, to the intersection of hexagon 2 and ray 4 nr. 1, and to the intersections of the following pairs of hexagons and rays 4: 5-2, 6-3, 7-4, 8-5, 9-6, 10-7, 11-8, 12-9, 13-10, 14-11, 15-12, 16-13, 17-14, 18-15, 19-16, 20-17, and 21-18, as shown. | ||||

30. |
Draw seventeen connecting lines, the first between the intersections of the first and second circles 29 with the upper lefthand sides of hexagons 2 and 5, and further between all consecutive pairs of corresponding intersections of circles 29 and the respective hexagons, as shown. See detail. | ||||

31. |
Remove all redundend parts from hexagon 2, hexagons 5 through 21, and lines 30, such that the shown pattern remains. | ||||

32. |
Repeat all necessary steps, to copy and rotate pattern 31 five times, with respect to the other angular points of hexagon 2, as shown. | ||||

33. |
Construct the inscribed regular 288-sided polygon of circle 23, pointing up. | ||||

34. |
Draw all the rays of polygon 33, from the center to the angular points. See detail. | ||||

35. |
Remove from circles 28 and rays 34 all redundend parts, such that... | ||||

36. |
...this pattern remains. | ||||

37. |
Circle 23, and patterns 31, 32, and 36, together, make up the final reconstruction. pdf-file | ||||

38. |
Colour all areas corresponding to standing... pdf-file | ||||

39. |
...or to flattened crop, and finish the reconstruction of the Herepath formation of 2-07-2021. pdf-file | ||||

40. |
Courtesy the Crop Circle Connector Photo by: Hugh Newman | The final result, matched with the aerial image. | |||

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Copyright © 2021, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||