ABSTRACT
This property was discovered by Dr . Irving Joshua Matrix [Gar89],
first published in [Hol70] and more recently in [Bar97]. We prove that
this property holds for every 3-by-3 magic square, where the rows,
columns, diagonals, and counter-diagonals can be read as 3-digit num
bers in any base. We also describe n-by-n matrices that satisfy this
Mathemagician A r t h u r T . B e n j a m i n teaches mathematics at Harvey Mudd College in Claremont, California and performs lightning calculations at the Magic Castle in Hollywood. K a n Y a s u d a is a graduate student studying mathematics at the University of Tokyo. This article was reprinted from the American Mathematical Monthly with permission from the MAA and the authors.
