大家知道如何将一条长方形的纸条,首尾相连做成一个纸环,然后用一笔就可以给这个纸环的两面都着上色吗?在历史上有这样一个故事,德国数学家莫比乌斯在一次郊外散步的时候,看到小甲虫在扭曲的玉米叶上爬行时,仿佛发现了什么,回家后,他将一条纸带扭转180°,然后再首尾相粘,就形成了特殊的圆环——只有一个面的闭合曲面。这个特别的圆环被后人称为莫比乌斯带,它就可以解决本文第一段提出的问题。 Everyone knows how to make a rectangular paper, end to end connected into a paper ring, and then use a stroke to the paper ring can be colored on both sides? In history there is such a story, the German mathematician Mobius As he walked through a country outskirts, he saw what the small beetle had crawled on the twisted corn leaves. After returning home, he turned a strip of paper 180 ° and then end-to-end to form a special Ring - Closed surface with only one face. This special ring, later known as the Mobius Strip, can solve the problems raised in the first paragraph of this article.