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:
“Without, the frost, the blinding snow,
The storm-wind’s moody madness—
Within, the firelight’s ruddy glow,
And childhood’s nest of gladness.
The magic words shall hold thee fast:
Thou shalt not heed the raving blast.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“This house was designed and constructed with the freedom of stroke of a forester’s axe, without other compass and square than Nature uses.”
—Henry David Thoreau (1817–1862)