序成六虚上下,数生太极乾坤——今本《周易》卦序排列数学规律三探

On the mathematical regularity of the order of the hexagrams of Zhouyi in the received version

今本《周易》序卦是一件完美的数学作品。序卦的分布规律体现于一系列的数列之中,但是,假如这些排列规律彼此间缺乏关联性,显得孤立、分散,便难以真正体现序卦排列的数学规律性。经过更深入的研究,笔者发现这些排列规律并非彼此分散、互不相干的,而是互有关联,整合成一个完美的统一体。序卦排列数学规律其鲜明的特点有四:其一是连续性,其二是周期性,其三是对称性,其四是关联性。连续性、周期性体现其简易性,对称性、关联性体现其统一性。简易性、统一性体现其完美性。

The Orderly Sequence of the Hexagrams in the received version of Zhouyi is a perfect mathematical works, by which the regulations for the hexagrams arrangement are exhibited in a series of sequence of numbers. But, if these regulations are irrelative, separated, and dispersed, the mathematical regularity of the arrangement will not be revealed. Through a study in depth, I find that these regulations are neither mutually separated nor irrelative, but correlated, being incorporated into a perfect entity. This is manifested as the following four characteristics, continuity, cyclicity, symmetricity, and correlativity. The former two characteristics embody its principle of simplicity, while the latter two reveals its perfection.