Most perfect magic squares
When a magic square is called most-perfect it fulfills three criteria
(square on the left). To start off, any 2 by 2 square within the magic
squares has its numbers equate to the same number (magic constant of 2
by 2 squares inside a most-perfect magic square). Secondly, any 2 numbers
spaced n/2 apart from each other on a diagonal line (with wrapping around
(
pandiagonal magic square)) will equal to the same amount. Last of all, it has to be a double even
magic square (
order 4n,
with n being 1,2,...).
Semi magic squares
A semi magic square shares all the same properties as a
regular magic square
besides the fact that it’s diagonals do not add up to the magic constant
(rows and columns do equate correctly). There are a total of 8 semi magic
squares of order 3 for example (squares on the right).
