| 释义 |
pandiagonal, a. Math.|ˌpændaɪˈægənəl|
[f. pan- + diagonal a.]
Used to describe a magic square with the property that, if any number of columns be removed from one side of the diagram and added en bloc to the other, another magic square results.
1897Amer. Jrnl. Math. XIX. 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. 1919Monist XXIX. 308 Magic squares of order ≡ 2 (mod. 4) made with consecutive numbers cannot be pandiagonal. 1939H. 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. 1976Sci. 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.
Hence ˌpandiˈagonally adv.
1911W. 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. |