Project 1.4
Write a short paper about the construction of magic squares.
You might include such facts as there is 1 standard magic square of order 1,
0 of order 2, 8 of order 3, 440 of order 4, and 275,305,224 of order 5. According
to the Guinness Book of World Records, Leon H. Nissimov of San Antonio,
Texas, has discovered the largest known magic square with sum of 999,999,999,989.
Show that such a magic square is not possible. You might also include the properties
of the magic square discovered by Benjamin Franklin.
William H. Benson and Oswald Jacoby, New Recreations
with Magic Squares (New York: Dover Publications, 1976).
John Fults, Magic Squares (La Salle, IL: Open Court, 1974).
Martin Gardner, "The Magic of 3 by 3; The $100 question: Can you Make
a Magic Square of Squares?" Quantum, January/February, 1996, pp. 24-26.
Martin Gardner, "Mathematical Games Department," Scientific American,
January 1976, pp. 118-122.
http://mathworld.wolfram.com/MagicSquare.html
http://forum.swarthmore.edu/alejandre/magic.square/loshu.html
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