A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant.
A pandiagonal magic square remains pandiagonally magic not only under rotation or reflection, but also if a row or column is moved from one side of the square to the opposite side. As such, an n×n pandiagonal magic square can be regarded as having 8n2 orientations.
Read more about Pandiagonal Magic Square: 4×4 Panmagic Squares, 5×5 Panmagic Squares
Famous quotes containing the words magic and/or square:
“Why not walk in the aura of magic that gives to the small things of life their uniqueness and importance? Why not befriend a toad today?”
—Germaine Greer (b. 1939)
“Mark you the floore? that square & speckled stone,
Which looks so firm and strong,
Is Patience:”
—George Herbert (1593–1633)