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Archive for October, 2010

Daily Squares Math Game

October 10th, 2010 by Math Tricks | 2 Comments | Filed in Games, Magic Squares, Math Games, Math Software

Magic Squares Math Game: Daily Squares

daily squares math game

Today is 10-10-10, and in celebration of this auspicious occasion, we are officially launching our online math game: Daily Squares!

If you have read the previous posts on magic squares, then you will have a good idea of how to play.  If not, then it is not difficult to learn.  You have to arrange the numbers such that all of the rows, columns, and diagonals all add up to 34.

To access the game, please click here.

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Close Relations of Magic Squares

October 1st, 2010 by Math Tricks | 3 Comments | Filed in Magic Squares, Math Tricks

Meet the Magic Square Family!

Like magic squares, there are arrangements of numbers similar to magic squares that have interesting properties.  These arrangements are called heterosquares and anti-magic squares.  Unlike magic squares, these numbers do not form the same product when you sum the rows, columns, and diagonals.  Rather, the sums of the rows, columns, and diagonals are all different from each other.


Heterosquares can be thought of as the black sheep of the magic square family.  The sums of their rows, columns and diagonals are not all the same – they are all different from each other.

An example of a (4 x 4) heterosquare:


Heterosquares exist for all tables equal to and larger than 3 rows  x 3 columns.

Anti-magic Squares

Like heterosquares, the sums of the rows, columns, and diagonals of anti-magic  squares are all different.  However, the sums form a sequence of consecutive 2n+2 numbers – cool beans!
Check out this example:
anti-magic square
Do you see the series?  It is 29, 30, … , 38.

Coming up soon on math tricks – a new magic squares game!  Stay tuned . . .

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