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Shvoong Home>Science>Mathematics>Alphamagic Squares: Adventures...Between the Mountains of Math and the Lowlands of Logology Summary

# Alphamagic Squares: Adventures...Between the Mountains of Math and the Lowlands of Logology

Article Summary   by:LeeBCroft     Original Author: Lee C F Sallows

This is the seminal article (just "Google" "Alphamagic Squares" and you will see), titled in full "Alphamagic Squares: Adventures with Turtle Shell and Yew Between the Mountains of Mathematics and the Lowlands of Logology" and published in Richard K. Guy''s and Robert E. Woodrow''s (editors) The Lighter Side of Mathematics: Proceedings of the Eugene Strens Memorial Conference on Recreational Mathematics and Its History (MAA (The Mathematical Association of America), 1994, ISBN 0-88385-516-X, pp. 305-325 (there follows a related article by the same author, Lee C. F. Sallows, entitled "Alphamagic Squares, Part II," pp. 326-339)) in which the world''s recreational mathematicians and its logologists are introduced to the "Alphamagic Square." An alphamagic square is a magic square--a square box grid of any order filled with numbers whose sum, added in any row, column, or full diagonal, equal the same number--in which the numbers of the alphabet letters needed to spell the magic square''s numbers themselves form a magic square, thus representing a mysterious tie between the worlds of numbers and the worlds of letters. In the course of his elaboration of this arcane mathematical and logological phenomenon, author Sallows presents a method of finding alphamagic squares, and in diverse languages, by using what he calls "logorithms" (as distinct from mathematical "logarithms"). If you want an intellectually stimulating and challenging read, this is it. The wizardry here is indeed rare, and amazing. The author treats the reader to fascinating history, to the strange circumstances of mathematical investigations, and to novel mathematical theory.
Published: January 12, 2008
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