# An Efficient Algorithm for Constructing all Magic Squares of Order Four

```@article{Liu2015AnEA,
title={An Efficient Algorithm for Constructing all Magic Squares of Order Four},
author={Changyu Liu and Tiezhu Zhao and Bin Lu},
journal={International Journal of Control and Automation},
year={2015},
volume={8},
pages={235-244}
}```
• Published 30 November 2015
• Mathematics
• International Journal of Control and Automation
Like the Sudoku puzzle, the magic square involves recreational mathematical contexts and has attracted considerable attention. [] Key Method The algorithm transforms solving these equations into finding all possible permutations of seven free variables from sixteen consecutive natural integers based on the Gaussian Elimination method. Furthermore, we show the effectiveness of the proposed algorithm by 48 magic squares in the experimental section.

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