415141
96712
510118
163213

[Image]

It is not difficult to discover more than half this number that are symmetrical, including, of course, the 4 rows, 4 columns and 2 diagonals. Here are a dozen samples, from which others can be seen—

4,1,16,13.
15,14,3,2.
14,12,5,3.
6,7,10,11.
15,8,9,2.
1,6,11,16.
14,8,9,3.
9,15,2,8.
4,5,12,13.
4,5,11,14.
4,9,8,13.
9,14,3,8.

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No. VIII

Here is the completed magic square—

216175224183232191240199248
247215174223182231190239207
206246214173222181230198238
237205245213172221189229197
196236204244212180220188228
227195235203252211179219187
186226194243202251210178218
217185234193242201250209177
176225184233192241200249208

[Image]

Every row, column and diagonal adds up to exactly 1908.