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楼主
发表于 2004-11-4 19:42:43 | 显示全部楼层

question


This question looks weird.www.ddhw.com
 
If only one bamboo stick is allowed to be cut each time, there is no way to cut them in six times.  If more than one bamboo stick are allowed to be cut simultaneously, we need only 2 cuts.
www.ddhw.com

 
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沙发
发表于 2004-11-5 19:20:20 | 显示全部楼层

回复:回复:question(图)


I think this is not a good question.  Appearantly it did not rule out that more than one bamboo sticks can be cut at the same time.  Then why there can't be more than two sticks at a time? 
 
The answer is not good either.  In that way, the resulting sticks are not identical.  For any stick that is cut into three segments, the two on both end has one end flat and the other end sharp, while the middle segment has both ends sharp.  Why not just align two sticks, assuming only two sticks can be cut at a time, and cut them at 1/3 of their length simultaneously?
www.ddhw.com

 
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板凳
发表于 2004-11-9 00:37:33 | 显示全部楼层

Disagree! external help needed anyway


I don't think so.  Without any external help, how can you put the two equilateral triangles in the proper place to form the proper hexagon?
www.ddhw.com

 
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