SOME MAGIC SQUARES ARE MORE MAGICAL THAN OTHERS
It is rather suprising that magic squares exist at all. Why should we be able to arrange 0 and the first 143 integers into a 12 x 12 square such that ALL columns, rows, and diagonals add up to 858? However, the particular 12 x 12 square reproduced here is more magical than most.

First off, it is "pandiagonal." This means that broken diagonals, such as those like 61-12-118 + 85-3-120-25-131 82-58-140-23 also add up to 858.

Second, this square is classified as "most-perfect" because the numbers in ANY three 2 x 2 squares also add up to 858. How could a magic square be more perfect than this?

(Stewart, Ian; "Most-Perfect Magic Squares," Scientific American, 281:122, November 1999.)

64.092.81.094.048.077.67.063.50.061.83.078
31.099.14.097.047.114.28.128.45.130.12.113
24.132.41.134.008.117.27.103.10.101.43.118
23.107.06.105.039.122.20.136.37.138.04.121
16.140.33.142.000.125.19.111.02.109.35.126
75.055.58.053.091.070.72.084.89.086.56.069
76.080.93.082.060.065.79.051.062.49.95.066
115.15.98.013.131.030.112.44.129.46.96.029
116.40.133.42.100.025.119.11.102.09.135.26
123.07.106.05.139.022.120.36.137.38.104.21
124.32.141.34.108.017.127.03.110.01.143.18
71.059.54.057.087.074.68.088.085.90.52.073