Reconstruction of the 2021 Kitt's Lane formation | ||

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

2. |
Construct two inscribed squares of circle 1, one pointing up, one with horizontal and vertical sides. | |

3. |
Construct eight inscribed equilateral triangles of circle 1, each with one angular point coincident with consecutive angular points of squares 2. | |

4. |
Draw twentyfour rays of circle 1, from the center to the angular points of triangles 3. Number these rays clockwise 1 - 24, starting at the top. | |

5. |
Construct the inscribed circle of squares 2. | |

6. |
Construct a circle concentric to circle 1, passing through the intersection of ray 4 nr. 2 and the upper horizontal side of squares 2. | |

7. |
Construct a circle concentric to circle 1, passing through the intersections of squares 2. | |

8. |
Construct the inscribed equilateral triangle of circle 5, pointing up. | |

9. |
Construct the inscribed equilateral triangle of circle 5, pointing down. | |

10. |
Construct a circle centered at the upper intersection of squares 2 to the left, passing through the corresponding intersection to the right. | |

11. |
Copy circle 10 to the center of circle 1. | |

12. |
Construct the inscribed equilateral triangle of circle 11, pointing up. | |

13. |
Construct the inscribed equilateral triangle of circle 11, pointing down. | |

14. |
Construct the "two-points" circle (defined by the two end-points of a centerline) between the upper intersections of circles 5 and 11 with the vertical centerline. | |

15. |
Construct a circle concentric to circle 1, passing through the center of circle 14. | |

16. |
Construct the inscribed equilateral triangle of circle 15, pointing up. | |

17. |
Construct the inscribed equilateral triangle of circle 15, pointing down. | |

18. |
Copy circle 14 to the top of triangle 12. | |

19. |
Construct a circle concentric to circle 1, tangent to circle 18 at the lower side. | |

20. |
Construct the inscribed equilateral triangle of circle 19, pointing up. | |

21. |
Construct the inscribed equilateral triangle of circle 19, pointing down. | |

22. |
Construct a circle centered at the righthand intersection of circle 5 and the horizontal centerline, tangent to circle 6 at the righthand side. | |

23. |
Copy circle 22 to the upper intersection of circle 1 and the vertical centerline. | |

24. |
Construct a circle concentric to circle 1, tangent to circle 23 at the lower side. | |

25. |
Construct a circle concentric to circle 22, tangent to circle 7 at the righthand side. | |

26. |
Copy circle 25 to the center of circle 23. | |

27. |
Construct a circle concentric to circle 1, tangent to circle 26 at the lower side. | |

28. |
Construct three circles centered at the intersection of the lower side of triangle 20 and the vertical centerline, tangent to the lower sides of triangles 8, 12, and 16. | |

29. |
Copy circles 28 two times, to the intersection of triangle 13 and ray 4 nr. 1, and to the upper righthand angular point of triangle 9. | |

30. |
Draw the connecting line between the centers of circles 29. | |

31. |
Draw three parallel lines, parallel to line 30, tangent to circles 29 at the lower sides. | |

32. |
Copy circles 28 to the intersection of triangle 9 and ray 4 nr. 1. | |

33. |
Draw three parallel lines, parallel to the vertical centerline, tangent to circles 28 and 32 at the righthand sides. | |

34. |
Repeat all necessary steps to copy and rotate lines 30, 31, and 33 five times, with respect to the other angular points of triangles 8 and 9, as shown. | |

35. |
Remove all redundant parts from rays 4, triangles 8, 9, 12, 13, 16, 17, 20, and 21, and lines 30, 31, 33, and 34, such that... | |

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

37. |
Repeat all necessary steps to copy and rotate pattern 36 five times, with respect to the other angular points of triangles 8 and 9, as shown. | |

38. |
Copy circle 25 to the lefthand intersection of circles 1 and 23. | |

39. |
Construct a circle concentric to circle 23, tangent to circle 38 at the righthand side. | |

40. |
Copy circles 23, 26, and 39 five times, to the intersections of circle 1 with rays 4 nrs. 2 and 24, and to the intersections of circle 5 with rays 4 nrs. 1, 2, and 24. | |

41. |
Draw three parallel lines, parallel to ray 4 nr. 1, tangent to circles 23, and 26, at the lefthand sides, and circle 39 at the righthand side, and tangent to the corresponding circles 40 at the corresponding sides, as shown. | |

42. |
Draw a line parallel to ray 4 nr. 24, tangent to the relevant middle circles 40, at the righthand sides, as shown. | |

43. |
Draw two parallel lines, parallel to ray 4 nr. 2, tangent to the relevant outer and inner circles 40, both at the lefthand sides, as shown. | |

44. |
Copy circle 39 two times, one to the intersection of circle 7 and the leftmost line 41, one to the intersection of circle 27 and line 42. | |

45. |
Copy circle 39 two times, one to the intersection of circle 7 and the rightmost line 41, one to the intersection of circle 27 and the lefthand line 43. | |

46. |
Draw the connecting line between the centers of circles 44. | |

47. |
Draw the connecting line between the centers of circles 45. | |

48. |
Draw two parallel lines, parallel to line 46, tangent to circles 44 at both sides. | |

49. |
Draw two parallel lines, parallel to line 47, tangent to circles 45 at both sides. | |

50. |
Remove all redundant parts from rays 4, circles 6, 7, 24, and 27, and lines 41, 42, 43, 46, 47, 48, and 49, such that the shown patterns remain. | |

51. |
Repeat all necessary steps to copy and rotate patterns 50 eleven times, with respect to rays 4 nrs. 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, and 23. | |

52. |
Circles 1, and 5, and patterns 36, 37, 50, and 51, together, make up the final reconstruction. | |

53. |
Colour all areas corresponding to standing... | |

54. |
...or to flattened crop, and finish the reconstruction of the 2021 Kitt's Lane formation. | |

55. |
The final result, matched with two aerial images. |

Copyright © 2021, Zef Damen, The Netherlands |