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- W2907794874 abstract "A magic square is an n x n array of distinct positive integers whose sum along any row, column, or main diagonal is the same number. We compute the number of such squares for n = 4, as a function of either the magic sum or an upper bound on the entries. The previous record for both functions was the n = 3 case. Our methods are based on inside-out polytopes, i.e., the combination of hyperplane arrangements and Ehrhart's theory of lattice-point enumeration." @default.
- W2907794874 created "2019-01-11" @default.
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- W2907794874 date "2010-03-29" @default.
- W2907794874 modified "2023-09-28" @default.
- W2907794874 title "Enumeration of $4 times 4$ magic squares" @default.
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- W2907794874 doi "https://doi.org/10.1090/s0025-5718-10-02347-1" @default.
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