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《中学生数学》2000年9月上载有李洪森的《幻方与等幂和等式》研究了幻方的等幂和问题,如果把填制数字的正方形改为圆以后会怎样呢? 笔者姑且称之为“幻圆”.如图1中,同一圆圈内的四个数字之和及两直径之间所夹的四个数字之和均为18.在图2中同一圆圈内的六个数字之和与任意两相邻直径之间所夹的六个数字之和均相等为57.
The mathematics of middle school students uploaded Li Hongsen’s “magic squares and equal power sum equations” in September 2000 to study the question of the equal power sum of magic squares. What happens if you change the square from the number to the circle? Call it “magic circle”. As in Figure 1, the sum of the four numbers in the same circle and the sum of the four numbers between the two diameters is 18. The six numbers in the same circle in Figure 2 The sum of the six numbers between the sum of any two adjacent diameters is equal to 57.