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Kepler's principal goal was to explain the relationship between the existence of five planets (and their motions) and the five regular solids. It is customary to sneer at Kepler for this. It is instructive to compare this with the current attempts to "explain" the zoology of elementary particles in terms of irreducible representations of Lie groups.
 Singmaster, D. (1998). Chronology of Recreational Mathematics. Retrieved September 2, 2006 from http://www.eldar.org/~problemi/singmast/recchron.html
 U.S. National Library of Medicine. (2006). Islamic Medical Manuscripts. Retrieved September 2, 2006 from http://www.nlm.nih.gov/hmd/arabic/
 Emanouilidis, E. (2005). Latin and magic squares. International Journal of Mathematical Education in Science and Technology, 36(5), 546-9.
 Petersen, I. (2000). Completing Latin squares. Science News Online, 157(19). Retrieved September 2, 2006 from http://www.sciencenews.org/articles/20000506/mathtrek.asp
 D'enes, J., & Keedwell, A.D. (1974). Latin Squares and their Applications. New York: Academic Press.
 Ozanam, J. (1694). Récréations mathématiques et physiques. Paris: Charles-Antoine Jombert.
 Pais, J., & Singer, R. (2004). Visual Magic Squares and Group Orbits I. Retrieved October 14, 2006 from http://www.mi.sanu.ac.yu/vismath/pais/pais1/pais1.html
 Sharp, J. (2005). Beyond Su Doku. Infinity, 1(3). Reprinted in Mathematics Teaching in the Middle School, 12(3), 165-169.
 Bose, R.C., Shrikhande, S.S., & Parker, E.T. (1960). Further results on the construction of mutually orthogonal Latin squares and the falsity of Euler's conjecture. Canadian Journal of Mathematics, 12, 189-203.