An "Unholey" Magic Square is a take off of "Unholey Primes": primes which only use digits that do not have "holes" in them: 1, 2, 3, 5, and 7. In this one I used only the digits 1, 2, and 3 because there are 81 ways to write 4 digit numbers using only 3 different digits, and as I mentioned before a 9 x 9 Magic Square has 81 block to fill.
An Order 9 "Unholey" Magic Square:
1133
|
2131
|
3132
|
1213
|
2211
|
3212
|
1323
|
2321
|
3322
|
1223
|
2221
|
3222
|
1333
|
2331
|
3332
|
1113
|
2111
|
3112
|
1313
|
2311
|
3312
|
1123
|
2121
|
3122
|
1233
|
2231
|
3232
|
2132
|
3133
|
1131
|
2212
|
3213
|
1211
|
2322
|
3323
|
1321
|
2222
|
3223
|
1221
|
2332
|
3333
|
1331
|
2112
|
3113
|
1111
|
2312
|
3313
|
1311
|
2122
|
3123
|
1121
|
2232
|
3233
|
1231
|
3131
|
1132
|
2133
|
3211
|
1212
|
2213
|
3321
|
1322
|
2323
|
3221
|
1222
|
2223
|
3331
|
1332
|
2333
|
3111
|
1112
|
2113
|
3311
|
1312
|
2313
|
3121
|
1122
|
2123
|
3231
|
1232
|
2233
|
David
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