Abstract
An optimal magic cube of order n is a magic cube whose row sums, column sums and oblique sums of 9n layers are n(n 3 + 1)/2. The author proved that optimal magic cubes of order n may be constructed as long as n and 2, 3, 5, 7 are relatively prime, and a formula for making optimal magic cubes by using optimal Latin squares and optimal magic squares was given.
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Foundation item: Supported by the Arts and Science Foundation of Central South University (No.2000007)
Biography of author: CHEN Xiao-song, associate professor, born in 1956, majoring in algebra and number theory.
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Chen, Xs. Ways of constructing optimal magic cube of order n when (n, 2·3·5·7)=1. J Cent. South Univ. Technol. 9, 70–72 (2002). https://doi.org/10.1007/s11771-002-0014-2
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DOI: https://doi.org/10.1007/s11771-002-0014-2