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幻方是涉及数字组合的数学问题,一般地说,它指把从1到n2的自然数,排列成每行每列各n个数,并使同一行、同一列与同一对角线上n个数的和都相等的一种方阵,其中n叫作幻方的阶数。一、幻方的起源传说,大约在公元前2000年的时候,发源于陕西的洛河常常泛滥成灾,威胁着两岸群众的生活。一天,在大禹治水时,有个神龟浮现于河中,其背上有一个神秘的图案,大家将图案中的花点记录下来,竟惊奇地发现9种花点正好是1至9这9个数,而且9个数位置的排列也相当精妙。大禹从这个图案中得到了启发,想到了9种治理河水的方法。而这个图案,就是闻名于世的“洛书”(如图1)。
Magic square is a mathematical problem involving numbers. In general, it refers to the natural number from 1 to n2, arranged in each row of n each number, and the same row, the same column with the same diagonal n A square matrix in which the sum of numbers is equal, where n is the order of magic squares. First, the origins of magic square legend, about 2000 BC, the Luo River originated in Shaanxi often flooded, threatening the lives of people on both sides of the Strait. One day when Dayu came to water, a turtle emerged in the river with a mysterious pattern on its back. All of you recorded the flowers in the pattern, and we were surprised to find that 9 kinds of flower spots happened to be 9 to 9 Number, and the arrangement of nine numbers is quite subtle. Dayu inspired by this pattern, think of nine ways to control the river. And this pattern, is world-famous “Los book ” (Figure 1).