/ 
Math-MagicSquare-2.04
River stage zero No dependents
/ Math::MagicSquare

NAME

Math::MagicSquare - Magic Square Checker and Designer

SYNOPSIS

use Math::MagicSquare;

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

DESCRIPTION

The following methods are available:

new

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

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

check

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)

print

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

printhtml

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

printimage

Prints the Square on STDOUT in png format.

rotation

Rotates the Magic Square of 90 degree clockwise

reflection

Reflect the Magic Square

REQUIRED

GD perl module.

EXAMPLE

   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

AUTHOR

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

Copyright

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.

Availability

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

Information about Magic Square

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

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