pandiagonaladj.

1897 Amer. Jrnl. Math. 19 99 The square A is magic because each row, column, and diagonal has the same sum, 175; it is pandiagonal because not only the two main diagonals, but also the twelve broken diagonals..have each the same sum.

1939 H. S. M. Coxeter Ball's Math. Recreations & Ess. (ed. 11) vii. 203 A magic pandiagonal square of the fourth order..was inscribed at Khojuraho, India, as long ago as the eleventh or twelfth century.

1976 Sci. Amer. Jan. 120/1 And it is pandiagonal (sometimes called Nasik or diabolic), which means that its broken diagonals add up to 65, the constant.

1999 Sci. Amer. Nov. 99/1 A magic square cannot be pandiagonal unless its order is doubly even—that is, a multiple of 4.

1911 W. W. R. Ball Math. Recreations & Ess. (ed. 5) vii. 157 If a pandiagonal square be cut into two pieces along a line between any two rows or any two columns, and the two pieces be interchanged, the new square so formed will be also pandiagonally magic.

1946 Amer. Math. Monthly 53 99 He [sc. the Proposer] conjectures that a minimum necessary, though not sufficient, requirement seems to be that the square be pandiagonally magic.