析其数之理,赏其序之美——今本《周易》卦序排列数学规律再探

On the mathematic regulations conceived in the arrangement of the hexagrams' order of Zhouyi in current version again

今本《周易》卦序是一篇精美绝伦的古典作品,其思想之深刻耐人寻味,其数理之精妙绝无仅有,其设计之完美令人叹为观止。《序卦》卦序的排列蕴含多重数理原则,本文将对一阴五阳卦分布律、二阳四阴卦分布律、三阴三阳卦分布律进行更精密地刻画以期对其认识更臻完善。而十二辟卦分布律、上经十八卦容斥律和下经十八卦容斥律的发现,更使我们有理由相信,《序卦》卦序是古人高超的数学才华的集中体现,是一件隐身数千年的数学极品。

The arrangement of the hexagrams, order of Zhouyi in current version is a much exquisite classic. Its profoundness is thought-provoking, its numerical principle is the most elegant one, and the arrangement can be hailed as the acme of perfection. The hexagrams, arrangement in the Orderly Sequence conceives multiple numerical principles. This paper makes a more exquisite explication of the law for the hexagrams made up of 1 Yin line (-) and 5 Yang lines ( -) and those made up of 2 Yang lines and 4 Yin lines to perfect the acknowledgement of it. And the discovery of the regulation of the arrangement of the 12 dominant hexagrams (corresponding to the 12 months in lunar calendar), and that of the inclusion-exclusion principle for the 18 hexagrams in Part I and for the 18 hexagrams in Part II of the Text further convince us that the orderly sequence is a collective embodiment of the superb math-ematic talents of the ancient people and thus the hexagrams, order by the Orderly Sequence is of the highest grade of the mathematics having been hiding for thousands of years.