In recreational mathematics, a magic square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n². The term "magic square" is also sometimes used to refer to any of various types of word square.

Normal magic squares exist for all orders n ≥ 1 except n = 2, although the case n = 1 is trivial—it consists of a single cell containing the number 1. The smallest nontrivial case, shown below, is of order 3.

The constant sum in every row, column and diagonal is called the magic constant or magic sum, M. The magic constant of a normal magic square depends only on n and has the value

For normal magic squares of order n = 3, 4, 5, …, the magic constants are:

15, 34, 65, 111, 175, 260, … (sequence A006003 in OEIS).
At Macworld Expo 2009, Apple Inc. cofounder Steve Wozniak created a magic square after asking his audience to suggest a random number for the magic constant.

From Wikipedia under the GNU Free Documentation License
Tue Nov 3 20:46:37 2009

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Magic square bag by Vivien Harding

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Magic square ring silver price $57 0

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mk1 jpg 07 Sep 2007 10 17 50k mdr htm 07 Sep 2007 10 17 9k mami jpg 07 Sep 2007 10 17 56k magic square bs2 jpg 07 Sep 2007 10 17 10k makotono sisi htm 07 Sep 2007 10 17 27k luna sv htm 07 Sep 2007 10 17 10k lzs htm 07 Sep

From Yahoo Image Search: "Magic Square"
Wed Nov 4 01:35:40 2009

Life in Oracle and Linux Kernel: magic squares site:youtube.com ...
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Life in Oracle and Linux Kernel: magic squares site:youtube.com ...

Peter Teoh

hu, 08 Oct 2009 01:39:01 GM

The complexity of . Magic Squares. goes far beyond the Sudoku puzzles we se... more The complexity of . Magic Squares. goes far beyond the Sudoku puzzles we see ... www.youtube.com​/user/megatrone​nator - Similar - ...

judas' kiss and magic square
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judas' kiss and magic square

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Sat, 29 Aug 2009 13:49:00 GM

judas' kiss and . magic square. , originally uploaded by crussell8.

Feng Shui Bagua Map Areas: The Magic Square and Bagua of the House ...
feng-shui-concepts.suite101.com
Feng Shui Bagua Map Areas: The Magic Square and Bagua of the House ...

unknown

Sat, 25 Apr 2009 10:26:37 GM

Feng Shui Bagua Map is one of the basic Feng Shui concepts. It was created on the basis of Feng Shui . Magic Square. , discovered by Yu Xia, a Chinese emperor.

From Google Blog Search: "Magic Square"
Thu Oct 22 15:16:41 2009

Nier Shows Square Enix's Foul Mouthed... - Kotaku Australia
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Nier Shows Square Enix's Foul Mouthed Side

Kotaku Australia

Nier himself also busted out some black magic , including a giant mystical hand made of black and red energy, picking up the creature and slapping it against ...



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Children's Place Retail Stores Inc. Q... - Seeking Alpha
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Children's Place Retail Stores Inc. Q2 2009 Earnings Call Transcript.

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I'm wondering how you see that breaking out, whether it's the product is right and that there's not a lot of resistance to price or it's really the magic ...



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Microsoft sees size as search answer ... - Salt Lake Tribune
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Microsoft sees size as search answer in Yahoo deal

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Size, though, may wind up being far from the magic bullet that Microsoft is counting on in forging a 10-year partnership to power all Yahoo searches. ...



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From Google News Search: "Magic Square"
Mon Oct 19 21:30:52 2009

How do you do a magic square?
Q. My brother has to do a math assignment that requires him to create a 3x3 magic square. All the numbers in the boxes (left, right, up, down. diagonal) have to equal the same number (it can be any number). It has to have at least two mixed numbers ( i.e. 1 1/2), two improper fractions (i.e. 9/6), and two proper fractions (i.e. 5/6),
Asked by caniac520 - Sun Nov 1 21:50:52 2009 - - 0 Answers - 0 Comments
I need to make a magic square using both negaive and non negative numbers...have failed thus far! Please help!
Q. The number that i need to use are -16, -12, -8, -4, 0, 4, 8, 12, 16. I need to make a 3x3 magic square and am stuck!!! Someone please please help me. I would really really appriciate it. Thanks so much.
Asked by rich_eater - Wed Jan 30 14:22:58 2008 - - 5 Answers - 0 Comments

A. 4 ... -16 ... 12 8 ... 0 ... -8 -12 .. 16 ... -4
Answered by Alam Ko Iyan - Wed Jan 30 14:37:27 2008

How do I solve a mathematical magic square?
Q. Sorry, I mean make. (-:
Asked by Tropical - Sat Nov 24 08:07:13 2007 - - 5 Answers - 0 Comments

A. Consider the 3x3 square, which has the numbers 1-9. These numbers sum to 45, so each row, column and diagonal must sum to 45/3 = 15. Also there are 8 combinations of 15 we need (3 rows, 3 columns, 2 diagonals). Let's list the combinations that add up to 15. 1) 4,5,6 2) 3,5,7 3) 2,5,8 4) 1,5,9 5) 1,6,8 6) 2,6,7 7) 2,4,9 8) 3,4,8 You'll see that the only number that features four times is the 5. So the 5 goes in the center. The 2,4,6,8 each feature 3 times, so they must go in the diagonals. The 1,3,7,9 feature 2 times each, so they go in the last 4 spaces. Now just rearrange them so include all 8 combinations. 2,7,9 9,5,1 4,3,8
Answered by Dr D - Sat Nov 24 08:54:22 2007

From Yahoo Answer Search: "Magic Square"
Tue Nov 3 09:10:36 2009

See also:

  • Magic Square: Java appletMagic Square: Java applet
    open.ou.nl
    A documented Java applet that generates Magic Squares using a given starting number, increment, and starting location. Row, column and diagonal sums are displayed on request. Odd orders up to 7 are accepted. [JRE required]
  • A Very, Very Magic SquareA Very, Very Magic Square
    math.lsa.umich.edu
    A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
  • Amof: Information on Magic SquaresAmof: Information on Magic Squares
    theory.cs.uvic.ca
    The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included.
Custom search only Magic Square sites:

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Tue Oct 13 02:41:35 2009