论文部分内容阅读
公元1858年,德国数学家莫比乌斯发现,纸带在扭转180°后再两头粘接起来,具有魔术般的性质。这种纸带只有一个面,一只小虫可以爬遍整个曲面而不必跨过它的边缘,人们把它称为“莫比乌斯环”。莫比乌斯环是一种拓扑图形。拓扑学研究几何图形在被弯曲、拉大、缩小或任意变形下保持不变的性质。这种变换的条件是:在原来图形的点与变换了的图形的点之间存在着一一对应的关系,并且邻近的点还是邻近的点。
In 1858 AD, the German mathematician Mobius found that the tape was twisting 180 degrees and then adhering to each other with a magical character. This tape has only one face, a bug crawling through the entire surface without having to cross its edge, which one calls the “Mobius Ring.” The Mobius ring is a topological graph. Topology studies the nature of a geometry that remains invariant when it is bent, enlarged, reduced, or distorted. The condition of this transformation is that there is a one-to-one correspondence between the points of the original graph and the transformed graph, and the adjacent points are adjacent points.