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Recreational Mathematics Magazine

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Mathematical Citation Quotient (MCQ) 2016: 0.05

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Demystifying Benjamin Franklin’s Other 8-Square

Maya Mohsin Ahmed
Published Online: 2017-06-09 | DOI: https://doi.org/10.1515/rmm-2017-0012


In this article, we reveal how Benjamin Franklin constructed his second 8 × 8 magic square. We also construct two new 8 × 8 Franklin squares

Keywords: Magic squares; Benjamin Franklin’s 8-squares


  • [1] Ahmed, M. “How many squares are there, Mr. Franklin?: Constructing and Enumerating Franklin Squares”, Amer. Math. Monthly, 111, 394-410, 2004. Google Scholar

  • [2] Ahmed, M. “Unraveling the secret of Benjamin Franklin: Constructing Franklin squares of higher order”, arXiv:1509.07756 [math.HO].Google Scholar

  • [3] Andrews, W. S. Magic Squares and Cubes, 2nd. ed., Dover, New York, 1960.Google Scholar

  • [4] Pasles, P. C. “The lost squares of Dr. Franklin: Ben Franklin’s missing squares and the secret of the magic circle”, Amer. Math. Monthly, 108, 489-511, 2001.Google Scholar

  • [5] Pasles, P. C. “Franklin’s other 8-square”, J.Recreational Math., 31, 161-166, 2003.Google Scholar

About the article

Published Online: 2017-06-09

Published in Print: 2017-05-24

Citation Information: Recreational Mathematics Magazine, Volume 4, Issue 7, Pages 21–27, ISSN (Online) 2182-1976, DOI: https://doi.org/10.1515/rmm-2017-0012.

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© 2017. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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