International Journal of Scientific and Research Publications

IJSRP, Volume 2, Issue 9, September 2012 Edition [ISSN 2250-3153]


On the Techniques for Constructing Even-order Magic Squares using Basic Latin Squares
      Tomba I.
Abstract: Tomba (May, 2012) introduced a technique for construction (n x n) magic squares (when n is odd) using basic Latin Squares by fixing the pivot element and arranging other elements in an orderly manner [10]. However, even-order magic squares can’t be constructed using the same procedure because of duplication in diagonal elements. Again, Tomba (July, 2012) developed a technique for constructing (n x n) magic squares (when n is doubly-even) using basic Latin square by fixing the column associated with the elements, adjacent to the pivot element and arranging in an orderly manner, making symmetric transformations that generates a magic parametric constant (T) and finally derived by minor adjustment on the pair-numbers of satisfying T [11]. The technique can provide weak magic squares for singly-even cases. In this paper, a technique for constructing singly-even magic squares is developed and illustrated with suitable examples.

Reference this Research Paper (copy & paste below code):

Tomba I. (2018); On the Techniques for Constructing Even-order Magic Squares using Basic Latin Squares; Int J Sci Res Publ 2(9) (ISSN: 2250-3153). http://www.ijsrp.org/research-paper-0912.php?rp=P09211
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