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在中国,存在许多艺术创造实例,它们具有极其强烈的数学背景.众所周知的中国窗格也是如此,具有高度的艺术价值与数学价值.这些有意义的窗格是本文主要讨论的内容,在许多中国窗格中,我们都能发现欧几里得原理和变换群的影子.我们将从变换群的角度对窗格加以研究,这是一门完全运用类似旋转、反射、平移和伸缩变换的学科,中国窗格的创造者运用了类似于我们能在许多几何学家的论文中所发现的某些原理.
In China, there are many examples of art creation that have extremely strong mathematical background, as well as the well-known Chinese panes, which have a high artistic value and mathematical value.These meaningful panes are the main topics discussed in this paper. In many Chinese In the pane, we can find the Euclidean principle and the shadow of the transformation group. We will study the pane from the transformation group point of view, which is a discipline that fully utilizes the similar transformations of rotation, reflection, translation and expansion. The creators of Chinese panes used some principles similar to what we could find in many of the geometer’s essays.