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标题: 五块不同颜色的布料 [打印本页]

作者: 野菜花 时间: 2005-4-7 04:30
标题: 五块不同颜色的布料

怎样裁剪缝制，可使每一块都与另四块相接 (一条缝线只能连两块 )？

作者: fzy 时间: 2005-4-7 19:13
标题: 回复：五块不同颜色的布料

Put four at four conners, one at the center. Sew them up to form a rectangle. Take one end of the rectangle, turn it around (180°), and sew it up with the opposite side, to form a Mobius Band. (Is this allowed? Some kind of 3d formation is probably needed. I could not do it on a 2d plane. )

作者: 独木桥 时间: 2005-4-7 19:51
标题: 回复：回复：五块不同颜色的布料

it is easy to paint 5 colors adjoining each other on the surface of a bike tube,but I am afraid that no one can do it on a plane.(is four color theorem proved?)

作者: 怀疑1 时间: 2005-4-7 20:08
标题: It is not about 4-color Theorem, I think.

Some people think the theorem is proven, some mathematicians do not. Recently I read from somewhere that one group proposed a much simpler human-readable proof.

As for this problem, it can not be done on a plane because K_5 is not a planar graph.

作者: fzy 时间: 2005-4-7 20:33
标题: 回复：回复：回复：五块不同颜色的布料

I did not realize that was the 4 color problem. (Where was my brain? )

作者: 野菜花 时间: 2005-4-7 20:34
标题: Excellent! [@};-][:D)]

Excellent!

作者: 怀疑1 时间: 2005-4-7 20:56
标题: Well,you can say it. but maybe more related to K_5

Well,you can say it. but maybe more related to K_5

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