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Franklin Magic Square

\begin{figure}\begin{center}\BoxedEPSF{FranklinMagicSquare.epsf}\end{center}\end{figure}

Benjamin Franklin constructed the above $8\times 8$ Panmagic Square having Magic Constant 260. Any half-row or half-column in this square totals 130, and the four corners plus the middle total 260. In addition, bent diagonals (such as 52-3-5-54-10-57-63-16) also total 260 (Madachy 1979, p. 87).

See also Magic Square, Panmagic Square


References

Madachy, J. S. ``Magic and Antimagic Squares.'' Ch. 4 in Madachy's Mathematical Recreations. New York: Dover, pp. 103-113, 1979.

Pappas, T. ``The Magic Square of Benjamin Franklin.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 97, 1989.




© 1996-9 Eric W. Weisstein
1999-05-26