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:
“Both magic and religion are based strictly on mythological tradition, and they also both exist in the atmosphere of the miraculous, in a constant revelation of their wonder-working power. They both are surrounded by taboos and observances which mark off their acts from those of the profane world.”
—Bronislaw Malinowski (1884–1942)
“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)