why do odd magic squares have the same rank as their size?

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why do odd magic squares have the same rank as their size whats special about odd magic squares? and why do even magic squares alternate

The results are below where n is the size and r is the corresponding rank of the magic square.

n =  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19 20
r =  3  3  5  5  7  3  9   7  11   3  13   9  15   3  17  11  19  3

Thanks in advance