Math::MagicSquare - Magic Square Checker and Designer

  use Math::MagicSquare;

  $a= Math::MagicSquare -> new ([num,...,num],
                                 ...,
                                [num,...,num]);
  $a->print("string");
  $a->printhtml();
  $a->printimage();
  $a->check();
  $a->rotation();
  $a->reflection();

The following methods are available:

Constructor arguments are a list of references to arrays of the same length.

    $a = Math::MagicSquare -> new ([num,...,num],
                                    ...,
                                   [num,...,num]);

This function can return 4 value

• 0: the Square is not Magic
• 1: the Square is a Semimagic Square (the sum of the rows and the columns is equal)
• 2: the Square is a Magic Square (the sum of the rows, the columns and the diagonals is equal)
• 3: the Square ia Panmagic Square (the sum of the rows, the columns, the diagonals and the broken diagonals is equal)

Prints the Square on STDOUT. If the method has additional parameters, these are printed before the Magic Square is printed.

Prints the Square on STDOUT in an HTML format (exactly a inside a TABLE)

Prints the Square on STDOUT in png format.

Rotates the Magic Square of 90 degree clockwise

Reflect the Magic Square

GD perl module.

    use Math::MagicSquare;

    $A = Math::MagicSquare -> new ([8,1,6],
                                   [3,5,7],
                                   [4,9,2]);
    $A->print("Magic Square A:\n");
    $A->printhtml();
    $i=$A->check();
    if($i == 2) {print "This is a Magic Square.\n";}
    $A->rotation();
    $A->print("Rotation:\n");
    $A->reflection();
    $A->print("Reflection:\n");
    $A->printimage();

 This is the output:
    Magic Square A:
        8     1     6 
        3     5     7 
        4     9     2 
    <TABLE border=3 width="2" height="2" cellpadding=1 cellspacing=1>
    <TR>
    <TD align=right><FONT size=+2><B>8</B></font></TD>
    <TD align=right><FONT size=+2><B>1</B></font></TD>
    <TD align=right><FONT size=+2><B>6</B></font></TD>
    </TR>
    <TR>
    <TD align=right><FONT size=+2><B>3</B></font></TD>
    <TD align=right><FONT size=+2><B>5</B></font></TD>
    <TD align=right><FONT size=+2><B>7</B></font></TD>
    </TR>
    <TR>
    <TD align=right><FONT size=+2><B>4</B></font></TD>
    <TD align=right><FONT size=+2><B>9</B></font></TD>
    <TD align=right><FONT size=+2><B>2</B></font></TD>
    </TR>
    </TABLE>
    This is a Magic Square.
    Rotation:
        4     3     8 
        9     5     1 
        2     7     6
    Reflection:
        8     3     4
        1     5     9
        6     7     2

 Fabrizio Pivari fabrizio@pivari.com
 http://www.pivari.com/

 Copyright 2003, Fabrizio Pivari fabrizio@pivari.com
 This library is free software; you can redistribute it and/or modify it under
 the same terms as Perl itself. 
 Are you interested in a Windows cgi distribution?
 Test http://www.pivari.com/squaremaker.html and contact me.

 The latest version of this library is likely to be available from:
 http://www.pivari.com/magicsquare.html
 and at any CPAN mirror

 Do you like Magic Square?
 Do you want to know more information about Magic Square?
 Try to visit

A very good introduction on Magic Square

http://mathworld.wolfram.com/MagicSquare.html

Whole collections of links and documents in Internet

http://mathforum.org/alejandre/magic.square.html http://mathforum.org/te/exchange/hosted/suzuki/MagicSquare.html

A good collection of strange Magic Square

http://www.geocities.com/pivari/examples.html