A generalization of Trenkler’s magic cubes formula

[1] W. S. Andrews. Magic squares and Cubes, Dover, New York, 1960.Search in Google Scholar

[2] W. W. R. Ball, H. S. M. Coxeter. Mathematical Recreations and Essays, 13th ed. Dover, New York, 216-224, 1987.Search in Google Scholar

[3] F. A. P. Barnard. “Theory of Magic Squares and Cubes”, Mem. Nat. Acad. Sci., 4, 209-270, 1888.Search in Google Scholar

[4] W. H. Benson, O. Jacoby. Magic Cubes: New Creations, Dover, New York, 1981.Search in Google Scholar

[5] L. E. Dickson. Introduction to the Theory of Numbers, Dover, New York, 1950.Search in Google Scholar

[6] M. Gardner. Hexaflexagons and Other Mathematical Diversions: The FirstScientific American Book of Puzzles and Games, University of Chicago Press, 1988.Search in Google Scholar

[7] M. Gardner. Time Travel and Other Mathematical Bewilderments, W. H. Freeman & Company, 1988.Search in Google Scholar

[8] A.M. Lakhany. “Magic cubes of odd order”, Bull. Inst. Math. Appl., 5-6(27), 117-118, 1991.Search in Google Scholar

[9] A. M. Lakhany. “Magic cubes of even order”, Bull. Inst. Math. Appl., 9-10(28), 149-151, 1992.Search in Google Scholar

[10] K. W. H Leeflang. “Magic cubes or prime order”, J. Recreational Math. 4(11), 241-257, 1978.Search in Google Scholar

[11] M. Trenkler. “Magic cubes”, The Mathematical Gazette, 82, 56-61, 1998.10.2307/3620151Open DOISearch in Google Scholar

[12] M. Trenkler. “A construction of magic cubes”, The Mathematical Gazette, 84, 36-41, 2000.10.2307/3621472Open DOISearch in Google Scholar

[13] L. U. Uko. “Uniform step Magic Squares Revisited”, Ars Combinatoria, 71, 109-123, 2004.Search in Google Scholar