Someone pointed out that what I called a knight’s tour magic square is technically a semi-magic square: the rows and columns add up to the same constant, but the diagonals do not.

It turns out there are no strict magic squares formed by knight’s tours.

This was proved in 2003.

See a news article here.

Related postsMagic squares as matricesConsecutive pair magic squaresAlphamagic squares in English, French, and SpanishConsecutive primes magic squareMagic squares associated with Mars and JupiterA king’s magic tour.