巧排九方——一个传统数字推理趣题之详解及推广

An interesting Method to Do a NxN Number Square Matrix

首先从1、2、3、…、9共9个连续整数如何排列成3×3方阵,并使每行、每列及对角线上的数相加都相等出发,进而讨论了n2个连续整数如何排列成n×n方阵,并使每行、每列及对角线上的数之和都相等的数学问题,有一定的技巧性和趣味性。

This paper introduces an interesting and ingenious method to do a NxN number square matrix which have N2 continuously integer numbers and the sum of its every line, the sum of its every row, the sum of its every oblique line is all equal （where N is positive integer）.