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麦田圈的精准重构  

2010-03-06 00:38:26|  分类: |  标签: |举报 |字号 订阅

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麦田圈具有各种各样的特性,其中之一就是构型逐渐复杂化。用几何方法重构麦田圈图案能够让我们更加透彻的了解一个事实,在偌大的麦田里完成一个真正的麦田圈艺术品是人类不可能完成的任务!

 

               麦田圈的精准重构 - 咆哇咏咋 -

      (猫头鹰麦田圈档案:2009-8-10,Woodborough Hill, Nr Alton Barnes, Wiltshire, England)

 

猫头鹰麦田圈重构过程:

    

1. 麦田圈的精准重构 - 咆哇咏咋 - Draw a circle. Draw and extend the horizontal and vertical centerlines.

2. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 1 to its righthand intersection with the horizontal centerline. Move this circle (copy and delete original) to its own corresponding intersection.

3. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 1 to the righthand intersection of circle 2 and the horizontal centerline.

4. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 1 to the righthand intersection of circle 3 and the horizontal centerline.

5. 麦田圈的精准重构 - 咆哇咏咋 - Construct a circle concentric to circle 4, tangent to circle 1 at the righthand side.

6. 麦田圈的精准重构 - 咆哇咏咋 - Construct a "two-points" circle (defined by the end-points of a centerline) between the righthand intersection of circle 5 and the lefthand intersection of circle 1, both with the horizontal centerline.

7. 麦田圈的精准重构 - 咆哇咏咋 - Copy circles 4, 5 and 6 as a whole, while mirroring with respect to the vertical centerline.

8. 麦田圈的精准重构 - 咆哇咏咋 - Remove from circles 1, 4, 5, 6 and 7, all parts not visible within the formation itself.

9. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 5 to its righthand intersection with the horizontal centerline, and move it to its own corresponding intersection.

10. 麦田圈的精准重构 - 咆哇咏咋 - Construct a circle concentric to circle 1, tangent to circle 9 at the righthand side.

11. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 1 to the righthand intersection of circle 10 and the horizontal centerline.

12. 麦田圈的精准重构 - 咆哇咏咋 - Construct a "two-points" circle between the intersections of circle 6 and its copied circle 7.

13. 麦田圈的精准重构 - 咆哇咏咋 - Construct a "two-points" circle between the lefthand intersection of circle 3 and the righthand intersection of circle 12, both with the horizontal centerline.

14. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 13 to the righthand intersection of circle 11 and the horizontal centerline.

15. 麦田圈的精准重构 - 咆哇咏咋 - Construct a circle concentric to circle 1, tangent to circle 14 at the lefthand side.

16. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 13 two times, to the intersections of circle 15 and the vertical centerline.

17. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 1 two times, one to the lefthand intersection of the upper circle 16, and one to the righthand intersection of the lower circle 16, both with circle 15.

18. 麦田圈的精准重构 - 咆哇咏咋 - Construct the inscribed nonagon (regular 9-sided polygon) of circle 15, with one angular point coincident with the lefthand intersection of upper circle 17 and circle 15.

19. 麦田圈的精准重构 - 咆哇咏咋 - Construct the inscribed nonagon of circle 15, with one angular point coincident with the righthand intersection of upper circle 17 and circle 15.

20. 麦田圈的精准重构 - 咆哇咏咋 - Construct the inscribed nonagon of circle 15, with one angular point coincident with the lefthand intersection of lower circle 17 and circle 15.

21. 麦田圈的精准重构 - 咆哇咏咋 - Construct the inscribed nonagon of circle 15, with one angular point coincident with the righthand intersection of lower circle 17 and circle 15.

22. 麦田圈的精准重构 - 咆哇咏咋 - Construct nine "two-points" circles, between each pair of adjacent angular points of nonagon 18.

23. 麦田圈的精准重构 - 咆哇咏咋 - Construct nine "two-points" circles, between each pair of adjacent angular points of nonagon 19.

24. 麦田圈的精准重构 - 咆哇咏咋 - Construct nine "two-points" circles, between each pair of adjacent angular points of nonagon 20.

25. 麦田圈的精准重构 - 咆哇咏咋 - Construct nine "two-points" circles, between each pair of adjacent angular points of nonagon 21.

26. 麦田圈的精准重构 - 咆哇咏咋 - Remove from circles 22, 23, 24 and 25, all parts not visible within the formation itself.

27. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 13 to the righthand intersection of circle 10 and the horizontal centerline.

28. 麦田圈的精准重构 - 咆哇咏咋 - Construct two circles concentric to circle 1, tangent to circle 27 at both sides.

29. 麦田圈的精准重构 - 咆哇咏咋 - Construct a circle concentric to circle 1, passing through the rightmost intersection of pattern 8 and the horizontal centerline.

30. 麦田圈的精准重构 - 咆哇咏咋 - Construct the inscribed nonagon of circle 29, pointing to the left.

31. 麦田圈的精准重构 - 咆哇咏咋 - Construct a "two-points" circle between the righthand intersection of circle 29 and the intersection of the righthand side of nonagon 30, both with the horizontal centerline.

32. 麦田圈的精准重构 - 咆哇咏咋 - Construct a "two-points" circle between the center of circle 31 and its righthand intersection with the horizontal centerline.

33. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 13 to the righthand intersection of circle 29 and the horizontal centerline, and move it to its own corresponding intersection.

34. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 32 to the righthand intersection of circle 33 and the horizontal centerline.

35. 麦田圈的精准重构 - 咆哇咏咋 - Construct two circles concentric to circle 1, tangent to circle 34 at both sides.

36. 麦田圈的精准重构 - 咆哇咏咋 - Copy circle 1 four times, to the intersections of circle 15 and the horizontal and vertical centerlines.

37. 麦田圈的精准重构 - 咆哇咏咋 - Draw eight rays, from the center of circle 1 to the intersections of circles 36 and circle 15.

38. 麦田圈的精准重构 - 咆哇咏咋 - Divide the four larger arcs of circle 29 in between rays 37 each into seven equal parts, as shown.

39. 麦田圈的精准重构 - 咆哇咏咋 - Draw twenty-four rays, from the center of circle 1 to the division-points of arcs 38.

40. 麦田圈的精准重构 - 咆哇咏咋 - Construct thirty-two circles, tangent to each pair of adjacent rays 37 and 39, and tangent to circle 29 inwardly, as shown (with some examples).

41. 麦田圈的精准重构 - 咆哇咏咋 - Remove from pattern 8, circles 29 and 40, and rays 37 and 39, all parts not visible within the formation itself.

42. 麦田圈的精准重构 - 咆哇咏咋 - Patterns 26 and 41, and circles 10, 28 and 35, together make up the final reconstruction.

High resolution dwf-file


43. 麦田圈的精准重构 - 咆哇咏咋 - Colour all areas corresponding to standing...

High resolution dwf-file


44. 麦田圈的精准重构 - 咆哇咏咋 - ...or to flattened crop, and finish the reconstruction of the Woodborough Hill formation of 10-08-2009.

High resolution dwf-file


45. 麦田圈的精准重构 - 咆哇咏咋 -

 

The final result, matched with the aerial image.

原文地址:http://www.zefdamen.nl/CropCircles/Reconstructions/2009/WoodboroughHill09/woodboroughhill2009en.htm

 

更多麦田圈重构过程参见:

http://www.zefdamen.nl/CropCircles/en/Crop_circles_en.htm

 

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