五块不同颜色的布料

野菜花 · 发表于 2005-4-7 04:30:48

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 )？

fzy · 发表于 2005-4-7 19:13:49

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. )

独木桥 · 发表于 2005-4-7 19:51:09

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?)

怀疑1 · 发表于 2005-4-7 20:08:19

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.

fzy · 发表于 2005-4-7 20:33:31

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

野菜花 · 发表于 2005-4-7 20:34:23

Excellent!

怀疑1 · 发表于 2005-4-7 20:56:45

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

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It is not about 4-color Theorem, I think.

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Excellent! [@};-][:D)]

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

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It is not about 4-color Theorem, I think.

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Excellent! [@};-][:D)]

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

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