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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: 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  ka-gold-jewelry.com 150px x 150px | 6.00kB [source page] Magic square ring silver price $57 0  greatdreams.com 295px x 272px | 21.00kB [source page] mat jpg 16 Apr 2004 22 21 19k mercury astrological > 29 Jul 2007 20 48 2k mercury magic square > 29 Jul 2007 23 36 21k mexsun gif 16 Apr 2004 22 21 91k  static.zoovy.com 480px x 633px | 260.10kB [source page] Hot off the presses This funky little bag is idea for teacups or very small dogs just a few pounds It does not zipper shut it s intrigingly closed by snap buttons that are at the sides From Yahoo Image Search: "Magic Square"  land.allears.net Debra Martin Koma Mon, 28 Sep 2009 10:00:27 GM Town . Square. Exposition Hall - . Magic. Kingdom. Town . Square. Exposition Hall by. Emily Owens Pickle. expo1.jpg. One of the greatest characteristics of Disney is an immense sense of vision. For me, it is the cause of the 'Disney waterworks' ...  nigeriavillagesquare.com Magic Sun, 11 Oct 2009 17:50:55 GM The Village . Square. > Town Hall > The Main . Square. · Reload this Page North moves to take control of banks. Forum Rules · FAQ · Members List · Calendar ... North moves to take control of banks. Submitted by . Magic. Yesterday. Default ... nigeriavillagesquare.com Magic Sat, 10 Oct 2009 23:13:25 GM Originally Posted by . Magic. View Post. Immediately the Policemen shot into the air, the tanker burst into flame that engulfed other vehicles that were closeby and equally trapped some of the people that were gathered around the scene ... From Google Blog Search: "Magic Square"  news.google.com BraggingRightsCorner Official scoring favored Guerrero 117-111, 116-113, 116-112 - my unofficial had it all square at 114-114 in points and 6-6 in rounds. Klassen: (24-5-2, ... 'Call Em Out Fridays': Malignaggi/Diaz - Out With The 'Bull', In ... EastsideBoxing.com Featured Fight Workout: Diaz vs. Malignaggi Examiner.com Diaz vs Malignaggi Undercard is Loaded and Ready BoxingScene.com all 286 news articles » news.google.com Shore News Today One of the key components of phase 2 is the 245000- square foot Vine Building. The indoor sports center is slated to house soccer fields, basketball courts, ... and more » news.google.com TCPalm Ronald McDonald Magic Show: Indian River County Main Library, 1600 21st St., Vero Beach, 6 pm, Sept. 17. Ages 5 to 12 years. Free. ... Indian River Community Calendar, updated Aug. 18 TCPalm all 10 news articles » From Google News Search: "Magic Square" Can you help me with this multiplicative magic square? Q. I have had so much trouble with this. I have to fill in this 3x3 square that when multiplied vertically, horizontally, or diagonally it equals the same thing. The square is arranged like the following: 123 456 789 1 = 45 2 = 1 3 = 75 4 = 25 5 = 15 THANKS! Asked by Jason S - Sat Feb 28 14:02:17 2009 - - 1 Answers - 0 Comments A. 45 // 1 // 75 25 // 15 // 9 3 // 225 // 5 You have the first line 1 // 2 // 3 : 45 * 1 * 75 = 3375 You get 7 : 3375 / 25 / 45 = 3 and 8 : 3375 / 1 / 15 = 225 And so on ... Answered by John F - Sat Feb 28 14:08:43 2009 I need help with a magic square? Q. the instructions say to complete the square with integers from 5-16 to make it magic. on each horizontal, each vertical, and each of the two diagonals the sum of hte numbers is to be 34. there is also a hint( the two unfilled corner squares must also add up to 29) so the square is like 4*4 and in the first row of the first colum is a 1 and the 3 remaning coulums in the first row are empty the second row has a 2 in the 3rd colum and the rest are blank the third row has a 3 in the second colum and the rest are blank the fourth row has a 4 in the fourth colum and the rest are blank i have tried to solve this but i cant i got really close but it was messed up in the end so i had to start over can sum1 plz help me? thanks! Asked by brainykid - Mon Jul 9 21:03:51 2007 - - 3 Answers - 0 Comments A. This one works: 1 6 11 16 8 15 2 9 12 3 14 5 13 10 7 4 Answered by pki15 - Mon Jul 9 21:22:50 2007 Is it possible to form a 3x3 magic square with any set of 9 numbers?
Q. and support for this answer, counterexample is a possibility Asked by Shelby - Sun Sep 20 20:16:24 2009 - - 2 Answers - 0 Comments A. No. Consider the set {0,0,0,0,0,0,0,0,1}. Then one column and one row sum to 1. The others sum to 0. If you don't like that idea because it uses zeros, simply replace the set with { 1, 7, 14, 21, ..., 54 }. The same problem happens if you reduce the magic square modulo 7. One row and one column sum to something that has remainder 1 when divided by 7. The others sum to things divisible by 7. Answered by cheeser1 - Sun Sep 20 20:21:52 2009 From Yahoo Answer Search: "Magic Square" See also:
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