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当你看到地板砖展铺成美丽的图案时,你是否想到展铺这美丽图案的数学原理呢?如果你注意到的话,可能会对下面的简单分析发生兴趣. 地板砖展铺的图形,一般都是用几种全等的平面图形展铺开来的,有时虽然有曲线,却常常是由多边形和圆作适当变化得到的.例如,一个由正方形展铺的平面图案(图1(a)),如果对正方形用圆弧做一些变化(图1(b)),那么把以上两个图形结合起来设计,就可由比较单调的正方形图案,变化曲线形成花纹图案了(图1(c)).
When you see the beautiful pattern of floor tiles, do you think of the mathematics of this beautiful pattern? If you notice it, you may be interested in the following simple analysis. The pattern of floor tiles, They are generally spread out with several flat surfaces. Sometimes curves, but often with polygons and circles, are obtained by appropriate changes. For example, a flat pattern spread by squares (Fig. 1(a). )) If you make some changes to the square arc (Figure 1 (b)), then by combining the above two graphics design, you can form a pattern by comparing the monotonous square pattern, change curve (Figure 1 (c) ).