Each pattern can be reflected and rotated to obtain 8 equivalent patterns, giving us a total of 3×8 = 24 patterns. The aim of the puzzle is to take "n"2 medjig pieces and arrange them in an "n" × "n" "medjig square" in such a way that each row, column, along with the two long diagonals, formed by the medjig square sums to 3"n", the magic constant of the medjig square. An "n" × "n" medjig square can create a 2"n" × 2"n" magic square where "n" > 2.