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左边的形状不经任何切割,只需以适当的方式操作(拉伸,弯曲,但不打破),即可得到右边的形状 。请问该如何操作?
本题转自伯克利大学的谜题社区:http://www.ocf.berkeley.edu/~wwu/riddles/hard.shtml(打开后搜索“TOPOLOGICAL RINGS”即可看到)
我也不知道我的理解是否有错,大家还是看看它的原题表述吧:
A ring puzzle. Imagine the object above in the figure to the left made from perfectly elastic materical. Can you transform it so as to unlink the two rings as in the figure on the right? One possible way is to cut one ring, move the other ring through the gap, and rejoin the the first ring exactly as it was. That would be a legitimate topological transformation. However, it is also possible to transform the first shape into the second without any cutting, simply by manipulating the objects in the appropriate manner (stretching, bending, but not breaking). Can you see how to do it?
[ 本帖最后由 cg372101 于 2009-6-21 10:15 编辑 ] |
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