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我们观察各种由瓷砖铺成的地板,就能发现地极常用各种正多边形瓷砖镶嵌成美丽的图案。对这个问题进行深入研究,就会发现,如果要设计几种地板图案,就要解决如下问题: 1 如果限于用一种正多边形镶嵌,哪几种正多边形能镶嵌成一个平面? 2 如果允许用几种正多边形组合起来镶嵌,由哪几种正多边形组合起来能镶嵌成一个平面? 我们来讨论以上问题。 讨论中排除有些镶嵌图案中正多边形的顶点在另一个正多边形的边上的情况(如图1所示),
When we look at a variety of floor tiles that have been tiled, we can see that a variety of regular polygon tiles are used to create a beautiful pattern. An in-depth study of this issue will reveal that if you are designing several types of floor patterns, you need to solve the following problems: 1 If you are limited to a regular polygon mosaic, which regular polygons can be set into a plane? 2 If allowed Several kinds of regular polygons are combined and embedded. Which kinds of regular polygons can be assembled to form a plane? Let’s discuss the above problems. The discussion excludes the case where the vertices of a regular polygon in some mosaics are on the edge of another regular polygon (as shown in Figure 1).