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中文摘要：
借助尺度归并和笛卡儿变换思想考察中国城市的宏观分布规律。发现中国城市在一定的空间和规模尺度上具有双重对称性：以秦岭-淮河为界。南方城市与北方城市呈现双侧对称特征；以呼和浩特-太原-郑州-武汉-广州沿线为轴，东部城市与西部城市形成双侧对称局势。中国城市的宏观对称性与地球公转和自转的方式有关。海陆差异、地表形态和水系构成是影响城市对称格局的重要因素。城市的对称分布属于广义的形态发育问题，对称形成的内在机制可能在于人类空间行为的自组织演化。
英文摘要：
This paper is devoted to the research of bilateral symmetry distribution of cities in China at the global level, based on Ye Danian （2000）＇s precursory work. Using the idea from Cartesian transform in mathematics spatial distributions of Chinag cities. Taking Qin Mountain-Huai river as an axis of symmetry, we can find that the cities in northern China corresponds to those in southern China; while taking a line along the cities of Hohehot, Taiyuan, Zhengzhou, Wuhan, and Guangzhou as another axis of symmetry, we can find that the cities in eastern China seems to be a mirror image of those in western China. Symmetry research is significant to the theory construction of urban geography because it associates with universality. On the other hand, symmetry implies beauty, perfect, and order. Therefore studies of symmetry of cities are of help to developing urban spatial optimization methods.
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