PROBLEM: Magic Square

Arrange the numbers 1 through 9 in a 3 by 3 array -- a Magic Square -- such that the sum of any row, column, or the two diagonals is the same.

Is your solution unique? That is, aside from rotation of the square, is there only one way to enter the digits?

Find other 3 by 3 magic squares using distinct entries other than 1 through 9.

Is it possible to complete a 3 by 3 magic square where the middle square has 21 entered in it? (Each of the other 8 squares would have a unique entry other than 21.)

Can a 4 by 4 magic square be completed with the numbers 1 through 16 for entries?

Find a 3 X 3 magic square where the operation is multiplication rather than addition and the entries are 9 different numbers.
Return to the EMAT 6600 Page