Explore relationships

Most-perfect magic square

A most-perfect magic square of order n is a magic square containing the numbers 1 to n2 with two additional properties: Each 2 × 2 subsquare sums to 2s, where s = n2 + 1. All pairs of integers distant n/2 along a (major) diagonal sum to s. There are 384 such combinations.

Use + to expand a branch. Click a topic name to open its summary.