解读崔锡鼎《九数略》中的九阶方阵

Interpreting the Squares of Order Nine in Choe Sǒk-chǒng's Kusuryak

崔锡鼎是17世纪末至18世纪初朝鲜王朝的文臣,熟知《易经》与中国数学,所著《九数略》是富于哲学思想的数学书籍。该书附录"河洛变数"继承宋朝杨辉《缉古摘奇算法》"纵横图"的传统,但是另有创见。文章尝试解读其中诸个九阶方阵的数学意义,以及可能的构造方法。

Choe Sok-chong （1645--1715） was a Confucian scholar of noble birth who served in the court of Korea＇s Choson Dynasty. In the appendix to his mathematical treatise Kusuryak, he displayed a number of magic squares and other configurations, some of which were copied from the works of the Chinese mathematician Yang Hui （ca. 1238 -ca. 1298）. However, his squares of order nine exhibit amazing originality. The present article is an attempt on interpreting the mathematical implications and construction methods of these squares.