Reconstruction of theBarbury Castle 17-07-2022 formation Phase 1 and Phase 2 | |||||

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

2. |
Construct the inscribed dodecagon (regular 12-sided polygon) of circle 1, pointing up. | ||||

3. |
Draw the twelve rays of dodecagon 2, from the center to the angular points. Number these rays (and angular points), clockwise, 1 - 12, starting at the top. | ||||

4. |
Construct the inscribed hexagon (regular 6-sided polygon) of circle 1, pointing to the right. | ||||

5. |
Construct the circumscribed hexagon of circle 1, pointing up. | ||||

6. |
Draw the connecting line from the top of hexagon 5 to angular point 2 nr. 4. | ||||

7. |
Construct a circle concentric to circle 1, passing through the intersection of ray 3 nr. 2 and line 6. | ||||

8. |
Draw two connecting lines, from the intersection of ray 3 nr. 1 and hexagon 4 to the intersection of ray 3 nr. 2 and circle 7, and from this last point to the intersection of ray 3 nr. 3 and hexagon 4. Repeat this five times, for all other corresponding sets of intersections, as shown. | ||||

9. |
Construct the inscribed hexagon of circle 7, pointing to the right. | ||||

10. |
Construct the inscribed hexagon of (the inscribed circle of) hexagon 9, pointing up. | ||||

11. |
Construct the inscribed hexagon of hexagon 10, pointing to the right. | ||||

12. |
Construct the inscribed hexagon of hexagon 11, pointing up. | ||||

13. |
Construct the inscribed hexagon of hexagon 12, pointing to the right. | ||||

14. |
Construct the inscribed hexagon of hexagon 13, pointing up. | ||||

15. |
Construct the inscribed hexagon of hexagon 14, pointing to the right. | ||||

16. |
Construct a circle centered at the upper intersection of hexagon 11 and the vertical centerline, tangent to hexagon 13 at the upper side. | ||||

17. |
Copy circle 16 to the righthand intersection of circle 1 and the horizontal centerline. | ||||

18. |
Construct a circle concentric to circle 1, tangent to circle 17 at the righthand side. | ||||

19. |
Lines 3, and 8, hexagons 4, 9, 10, 11, 12, 13, 14, and 15, and circle 16, are used for this reconstruction. | ||||

20. |
Remove all parts not visible within the formation itself. | ||||

21. |
Courtesy the Crop Circle Connector Photo by: STONEHENGE DRONESCAPES PHOTOGRAPHY | The result, up to now, matched with the aerial image, shows a good fit. | |||

22. |
However, the area of circle 7 is almost exactly equal to the area of the inscribed square of circle 1. The circle is only 0.53% larger. | ||||

23. |
And also, the area of circle 18 is only 0.27% larger than the area of the circumscribed square of circle 1. Both cases are equivalent to "squaring the circle"! | ||||

24. |
Therefore, the reconstruction can be based on "squaring the circle". As follows.The first four steps are the same as steps 1 to 4 above. Construct the inscribed square of circle 1, pointing up. | ||||

25. |
Construct a circle concentric to circle 1, with an area equal to that of square 24. Hint: the diameter of the circle is approximately equal to 112.84% of (1.12837926 times) one side of the square. | ||||

26. |
Draw two connecting lines, from the intersection of ray 3 nr. 1 and hexagon 4 to the intersection of ray 3 nr. 2 and circle 25, and from this last point to the intersection of ray 3 nr. 3 and hexagon 4. Repeat this five times, for all other corresponding sets of intersections, as shown. | ||||

27. |
Construct the inscribed hexagon of circle 25, pointing to the right. | ||||

28. |
Construct the inscribed hexagon of (the inscribed circle of) hexagon 27, pointing up. | ||||

29. |
Construct the inscribed hexagon of hexagon 28, pointing to the right. | ||||

30. |
Construct the inscribed hexagon of hexagon 29, pointing up. | ||||

31. |
Construct the inscribed hexagon of hexagon 30, pointing to the right. | ||||

32. |
Construct the inscribed hexagon of hexagon 31, pointing up. | ||||

33. |
Construct the inscribed hexagon of hexagon 32, pointing to the right. | ||||

34. |
Construct the circumscribed square of circle 1, with sides horizontal and vertical. | ||||

35. |
Construct a circle concentric to circle 1, with an area equal to that of square 34. | ||||

36. |
Lines 3, and 26, hexagons 4, 27, 28, 29, 30, 31, 32, and 33, and circle 35, are used for the final reconstruction. | ||||

37. |
PHASE 1Remove all parts not visible within the formation itself. pdf-file | ||||

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

39. |
...or to flattened crop, and finish the reconstruction of the first phase of the Barbury Castle formation of 17-07-2022.pdf-file | ||||

40. |
Courtesy the Crop Circle Connector Photo by: STONEHENGE DRONESCAPES PHOTOGRAPHY | The result, matched with the aerial image of the first phase. | |||

41. |
PHASE 2Remove all parts not visible within the formation itself. pdf-file | ||||

42. |
Colour all areas corresponding to standing... pdf-file | ||||

43. |
...or to flattened crop, and finish the reconstruction of the Barbury Castle formation of 17-07-2022. pdf-file | ||||

44. |
Courtesy the Crop Circle Connector Photo by: Hugh Newman | The final result, matched with the aerial image. | |||

| |||||

Copyright © 2022, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||