On squares of squares

On squares of squares
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在正方形的正方形上

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
A. Bremner
A. Bremner
中科院分区:
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文献类型:
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作者:
A. Bremner

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0.幻方(行、列、对角和都相等的正方形)有着悠久而有趣的历史。最近有人对是否存在一个三乘三的幻方感兴趣,它的九个元素都是完美的正方形;这个问题似乎首先由LaBar提出[5]。答案当然是肯定的,例如:52 12 72 72 52 12 72 52
0. There is a long and intriguing history of the subject of magic squares, squares whose row, column, and diagonal sums are all equal. There has recently been some interest in whether there can exist a three-by-three magic square whose nine elements are all perfect squares; the problem seems first to have been raised by LaBar [5]. The answer is of course yes, for example   52 12 72 72 52 12 12 72 52  