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         Magic Square:     more books (100)
  1. Magic Square by J. E. Hook, 2010-03-13
  2. Magic Squares by W. W. Rouse Ball, 2010-09-10
  3. WorldScapes: Magic Squares and More (China) by Claire Owen, 2005
  4. Magic Square You and Your Babys First Years by Sirgay Sanger, John Kelly, 1986-03-20
  5. Smarandache magic square.(Report): An article from: Scientia Magna by S.M. Khainar, Anant W. Vyawahare, et all 2009-09-01
  6. MAGIC SQUARES AND CUBES, Second Edition, Revised and Enlarged by W. S. Andrews, 1917
  7. MAGIC SQUARES AND CUBES by W. S. Andrews, 1960
  8. Magic Square Puzzles by Alice Good, 1991-08-20
  9. Magic square logology.: An article from: Word Ways by A. Ross Eckler, 2005-11-01
  10. MAGIC SQUARES AND OTHER PROBLEMS ON A CHESS-BOARD. by P. A. MacMAHON, 1902
  11. Magic Squares and Cubes by Andrews, 2010-01-01
  12. Magic Squares, Circles, Stars 1956 Softcover by Harold D. Larsen For Grade 5 by Harold D. Larsen, 1956
  13. Magic Squares Their Construction by B.O.T.A., 1970
  14. Klee: Magic Squares (Petite Encyclopedie de l'Art, 6) by Joseph-Emile Muller, 1957

101. Magic Square - Definition Of Magic Square In Encyclopedia
In mathematics, magic squares consist of a number of integers arranged in the form of a square in such a way that the sum of the numbers in every row,
http://encyclopedia.laborlawtalk.com/Magic_square
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In mathematics magic squares consist of a number of integers arranged in the form of a square in such a way that the sum of the numbers in every row, column and diagonal are the same. A magic square may have odd or even number of rows and columns. Usually the magic square is filled up by consecutive numbers from one to N where N is the number of rows or columns. A magic square is designated with reference to this. Thus a magic square of order N will have N number of rows and columns and will be filled by numbers ranging from one to N More formally, a magic square can be defined as an n -by- n matrix such that the sum of any row, column or main diagonal yields the same result (the square's magic constant , denoted M n )); if these numbers are 1, 2,..., n Contents showTocToggle("show","hide") 1 Brief history of magic squares
1.1 The Lo Shu Square

1.2 The earliest square of order four

1.3 Cultural significance of magic squares
...
6 References
Brief history of magic squares
The Lo Shu Square
Chinese literature dating from as early as 2800 BC tells the legend of Lo Shu or "scroll of the river Lo": in ancient China, there was a huge flood. The people tried to offer some sacrifice to the river god of one of the flooding rivers, the Lo river, to calm his anger. Then, there emerged from the water a turtle with a curious figure/pattern on its shell; there were circular dots of numbers that were arranged in a three by three nine-grid pattern such that the sum of the numbers in each row, column and diagonal was the same: 15. This number is also equal to the 15 days in each of the 24 cycles of the Chinese solar year. This pattern, in a certain way, helped in controlling the river.

102. Franklin Squares
Here are Ben Franklin s two famous magic squares which (together with their Since magic squares often pair complementary entries, as when they are
http://www.pasles.org/Franklin.html
Franklin Squares
Click here for the BRAND NEW Franklin Mathematics Page! Here are Ben Franklin's two famous magic squares which (together with their lesser-known counterparts) are discussed in my paper "The Lost Squares of Dr. Franklin," to appear in the American Mathematical Monthly Instead of requiring diagonal sums to be constant (as in a fully magic square), Franklin used "bent rows" such as those highlighted below. The construction I will give owes much to the various papers which attempted to decode Franklin's method [Carus 1906, Marder 1940, Chandler 1951, Patel 1991]. However, these approaches were not concerned with his actual motivation for performing each step. The recipe given below includes speculation on why these particular steps were chosen. Abrahams 1994] and does not appear to give any idea of Franklin's original reasoning. It is important to keep in mind that the author of the squares was unschooled in number theory. For simplicity of notation, the 8-square will be our pictorial model, but the procedure outlined here (and its concomitant motivation) applies to any 8 n by 8 n matrix.

103. Magic Square
PROBLEM magic square. Arrange the numbers 1 through 9 in a 3 by 3 array a magic square such that the sum of any row, column, or the two diagonals is
http://jwilson.coe.uga.edu/emt725/BotCan/Magic.html
PROBLEM: Magic Square Arrange the numbers through in a 3 by 3 array a Magic Square such that the sum of any row, column, or the two diagonals is the same.
Is your solution unique? That is, aside from rotation of the square, is there only one way to enter the digits?
Find other 3 by 3 magic squares using distinct entries other than 1 through 9.
Is it possible to complete a 3 by 3 magic square where the middle square has 21 entered in it? (Each of the other 8 squares would have a unique entry other than 21.)
Can a 4 by 4 magic square be completed with the numbers 1 through 16 for entries? Find a 3 X 3 magic square whre the operation is multiplication rather than addition and the entries are 9 different numbers.
Return to the EMAT 4600/6600 Page

104. The Code Project - Magic Square - C++ / MFC
Calculating magic square In Any Order Using Standard Template Library (STL)
http://www.codeproject.com/cpp/Magic_Square.asp
View our advertisers Advertise with us document.write(""); All Topics MFC / C++ C++ / MFC Algorithms
Magic Square
By A. Riazi

Calculating Magic Square In Any Order Using Standard Template Library (STL) C++ (VC6)
Windows (WinXP, Win2K, Win2003, Win95, Win98, WinME)
STL, Win32, VS
Dev Posted 9 Sep 2003 Articles by this author views Search: Articles Authors Help! Articles Message Boards StoreFront ... Send to a friend
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Introduction
Magic square is an ancient mathematical problem that many people try to solve. May be you see it in some magazines or your teacher might have introduced it in a class.
Details
A magic square is an arrangement of numbers from 1 to n in an [n x n] matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. It is not hard to show that this sum must be n [ ( n . If we use this formula for that example output which is below, for [5x5] matrix;

105. Magic Square
BodyMind QueenDom magic square. magic square 3 x 3. Complete this square with integers from 1 to 9. Each horizontal, vertical and diagonal must add up
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3 x 3 Complete this square with integers from 1 to 9 . Each horizontal, vertical and diagonal must add up to QueenDom.Com TM Testing the web since 1996 about us FAQs press room contact us ... home

106. Magic Square: Definition And Much More From Answers.com
(Click to enlarge) magic square top the SATOR letter square bottom the number square from Albrecht Dürer s engraving Melencolia I (Precision.
http://www.answers.com/topic/magic-square
showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Dictionary Encyclopedia WordNet Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping magic square Dictionary (Click to enlarge) magic square top: the SATOR letter square
bottom: the number square from Albrecht D¼rer's engraving
Melencolia I
(Precision Graphics)
magic square
n.
  • A square that contains numbers arranged in equal rows and columns such that the sum of each row, column, and sometimes diagonal is the same. A similar square containing letters in particular arrangements that spell out the same word or words.

  • Encyclopedia
    magic square, a square divided into parts with letters or numbers inscribed therein that, whether combined vertically, horizontally, or diagonally, form the same sum or the same word. In ancient times such squares were thought to have magic properties, perhaps connected with the stars. Magic squares have been found in such widely divergent cultures as ancient China, Egypt, and India, as well as W Europe. Example: Bibliography See W. S. Andrews

    107. 2D Magic Square Free Download. 2D Magic Square Is A Puzzle Game Run Under MS Win
    2D magic square free download. 2D magic square is a puzzle game run under MS Windows98/NT/Me/2000. BR BR In this game, player should drag the blocks
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    In this game, player should drag the blocks vertically or horizontlly ... Advertise Submit a program Link to us Contact us ... Bookmark 2D Magic Square 1.0 Arcade Lines Arcade Lines is an extremely addictive puzzle game using brilliant gra... Easy Outlook Express Repair Get the power to restore damaged folders in outlook express with Easy Outlook Express Repair Quick Brick Quick Brick , enjoy this new arcade style game which is the original interpretation of legendary Collapse game.
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  • 108. Kid Wizard -- Easy Magic Square
    Easy magic square. AAAAAH! Ghost For more puzzles like this, go to the Interactive Games Page and look under Interactive magic squares.
    http://www.kidwizard.com/InteractiveGames/MagicSquareEasy.asp
    Easy Magic Square
    You need to enable java to run this applet. Hint: Try making the rows add up to 15.
    Bonus Hint: Make the center square 5. For more puzzles like this, go to the Interactive Games Page and look under Interactive Magic Squares.

    109. Pickover, C.A.: The Zen Of Magic Squares, Circles, And Stars: An Exhibition Of S
    of the book The Zen of magic squares, Circles, and Stars An Exhibition of Surprising Structures across Dimensions by Pickover, CA, published by......
    http://www.pupress.princeton.edu/titles/7131.html
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    The Zen of Magic Squares, Circles, and Stars:
    An Exhibition of Surprising Structures across Dimensions
    Clifford A. Pickover
    Shopping Cart
    Reviews Table of Contents Search within this book at Google Print Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squaresarrays filled with numbers or letters in certain arrangementsheld the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization?

    110. Create A Magic Square For Any Number In Excel
    However, Dave s grandfather was able to come up with a magic square for any number. Here is the Excel workbook to create any desired magic square
    http://www.mrexcel.com/tip069.shtml
    Back About Mr.Excel Consulting Services Learn About Excel ... Home
    Create a Magic Square for Any Number Many years ago, I worked at Telxon with Dave Strong . Dave had mentioned that his grandfather would perform a trick where he would ask someone in the room for any number. He would then think very hard and slowly but deliberately build a 4x4 matrix. Every row, column, and diagonal of numbers would add up to exactly the number chosen. This type of figure is called a magic square. Dave's grandfather was Walter Wills Strong. He was with the YMCA in Europe during World War I and would amaze the troops with this mental trick. When Dave introduced the problem to me, I found a solution for creating the basic magic square with numbers 1 through 16 that adds to 34. However, Dave's grandfather was able to come up with a magic square for any number. Now, many years later, Dave has discovered the formula for how his grandfather did this trick. With a little practice, you can learn the trick yourself. This week's tip will talk about magic squares. It will show the process used by Dave's grandfather. It will also offer two Excel files. One Excel file rapidly calculates a magic square for any number. The other Excel file attempts to replicate the conjuring nature of the performance Dave's grandfather must have given, complete with a bearded wizard. The Theory for a Basic Magic Square
    A 4x4 matrix of numbers has two diagonals. In the image below, one diagonal is comprised of the 4 yellow squares. One diagonal is comprised of the 4 red squares. The remaining 8 edge cells are colored green.

    111. Typeography - Magic Square
    This magic square might be called a reversible, ambinumeric key pad. Here is how it works. Add the 4 numbers in any row together, backwards or forwards,
    http://www.sandlotscience.com/Numbers/Magic_Square.htm
    new tree (TREE_ITEMS, TREE_TPL); The Magic Square This magic square might be called a reversible, ambi-numeric key pad. Here is how it works. Add the 4 numbers in any row together, backwards or forwards, up or down, or diagonally. The total will always be 264. As if that were not astounding enough. Pass your mouse over the image to view the grid up-side down, and backwards. When viewed in this way, the 9's become 6's, The 6's become 9's, and the 1's and 8's stay the same. Now try adding up the numbers in a few rows again. They still add up to 264! The magic number.
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    112. Tucows Downloads » Download Magic Square - 1.0 Freeware Software
    magic square 1.0, magic square can best be described as a two dimensional Rubik s Cube. Downloads and software from Tucows the largest online software
    http://www.tucows.com/preview/10864
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    Download Now: Version Date: Jan 01, 1995 Est. Download Time: 56k ~ under 5 seconds ISDN ~ under 5 seconds DSL ~ under 5 seconds Cable ~ under 5 seconds T1 ~ under 5 seconds File Size: 3.8 KB License: Freeware Publisher: See homepage Screenshot: View screenshot Order a copy on CD: Tucows Rating: Popularity:
    Description
    Magic Square can best be described as a two dimensional Rubik's Cube. It is challenging enough to keep your interest and simple enough to play when you have a spare minute.

    113. MagicSquare - Mentat Wiki
    A magic square is aX by X grid of numbers that add up to the same number in every row, Moving up to a 5 by 5 magic square, the same rules apply.
    http://www.ludism.org/mentat/MagicSquare
    UserPreferences
    MagicSquare
    1. Introduction
    A magic square is a X by X grid of numbers that add up to the same number in every row, and column. In many magic squares, the diagonals, the four corners and many other ways also equal the same total, as well. In this article, you will learn how to create various types of magic squares.
    2. Simpler Magic Square Methods
    This section will describe quick, simple ways to generate magic squares of any chosen order (an order X magic square is one that is X by X).
    2.1. Odd Order Magic Squares
    In this section, you will learn how to easily create magic squares of an odd order. First, decide on an odd number with which you will start. As an example, we'll start with 3, so we'll start by drawing a 3 by 3 grid:
    As a starting point, you will always place the number 1 in the middle cell (the individual squares within the grid) of the top row:
    The remaining numbers will all be placed in numerical order according to two rules. The first rule is that, starting from the last square in which a number was placed, you will move one square up and one square to the right. If this takes you off the board at any point, simply consider the board as wrapping around (the top wraps around to the bottom, and the right side wraps around to the left). Continuing on with 2, we have to move one square up and one square to the right. Moving up from where we placed the one takes us off the board, so we wrap around to the middle square of the bottom row. Moving right from here gives us the bottom right corner square, where we place the 2:

    114. StudyWorks! Online : Tasty Magic Squares
    Pamela is fascinated by magic squares — arrays of numbers whose sums are the She has spent hours creating a 5 by 5 magic square from a set of 25 candy
    http://www.studyworksonline.com/cda/content/article/0,,NAV3-39_SAR1564,00.shtml

    Games
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    Alien Sphere
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    Tasty Magic Squares
    December 26, 2001
    Unfortunately, her dog came along and ate eight of the candy tiles. Can you help Pamela reconstruct the square by supplying the missing numbers. Remember each row, column, and the two main diagonals must add up to 65. Tasty Magic Square Solution
    Credits
    Cliff Pickover
    Clifford A. Pickover is the author of numerous books including his latest math puzzle book, The Zen of Magic Squares, Circles, and Stars . His award-winning web site www.pickover.com has received over 350,000 visits.

    115. Magic Squares - Definition Of Magic Squares By The Free Online
    Definition of magic squares in the Online Dictionary. Meaning of magic squares. What does magic squares mean? magic squares synonyms, magic squares antonyms
    http://www.thefreedictionary.com/Magic squares

    116. CanEHdian.com: The Haymarket Square
    Review of the Chicago band's magic Lantern release, by Keith Pettipas.
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    The Haymarket Square: "Magic Lantern" Originally released on the small Chaparral Records label in 1968, the "Magic Lantern" album by the Haymarket Square has been a sought after collectors item for any fan of 60's psychedelic music for many years. The music on this album was initially used as accompaniment for the Baron and Bailey Light Circus at the Museum of Contemporary Art in Chicago but due to the intensity and psychedelic nature of the songs, it soon became legendary and its initial purpose has become obscured by time. The Haymarket Square was formed in the late sixties in Chicago by drummer John Kowalski and bassist Bob Homa formerly of The Real Things, a Chicago high school garage band. Together with guitarist Marc Swenson and vocalist Gloria Lambert, The Haymarket Square was born and quickly became popular on the Chicago music scene. The band's popularity lead them to be used as back up musicians on a live work of art exhibit at the Chicago Museum of Contemporary Art. The music featured some powerful psychedelic, EMusic FREE Trial MP3 Subscriptions
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    your band or artist ... blues based songs, with heavy percussion, searing lead fuzz guitars and the dynamic vocal work of Lambert. The songs were recorded and appear on this album.

    117. Square-N Classics
    Characters, bosses, enemies, equipment, items, magic, class changes, images, music, and artifacts.
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    Welcome to Square-N Classics Welcome to Square-N Classics (formerly Mana Knight's Nintendo Squaresoft Site). This site's purpose is to provide RPG fans with detailed strategy guides on pure classics Squaresoft and Nintendo have created for the Super Nintendo and beyond. As most of you probably have already noticed, there are hundreds of Final Fantasy sites out there, so I've created this site to cover the rare classics such as the Seiken Densetsu series. If your a fan of the SNES games and aren't aware of the emulation hype that's going on now, I suggest that you head over to ZSNES to find a great Super Nintendo emulator for your PC. This way the classics stay alive and we can all enjoy them. Enjoy your visit! Last updated on the 15th February, 2001
    This is Mana Knight 's Secret of Mana site. Square-N Classics was created by Mana Knight on the 10th July 1999.

    118. Chrono Cross
    square Enix's official website. Contains world, characters and features such as battle system, magic elements, story branches and multiple endings and CG sequences.
    http://www.square-enix-usa.com/games/CC/
    World Characters Features
    Check out Chrono Cross
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    119. Magic City Diamonds Square Dance Club
    Birmingham, Alabama. square dancing on every Thursday. Member of the IAGSDC. Schedule, contact information, and directions.
    http://members.aol.com/gaysqdn/

    120. Jaap's Puzzle Page
    s and solutions for many different types of Rubik's Cube puzzles including squareOne, Alexander's Star, Tricky Disky, and Rubik's magic.......
    http://www.geocities.com/jaapsch/puzzles/
    UPDATED . Added new pages for Planets , the Orbik , the Hexadecimal Puzzle snake cubes Four Cube puzzle and the Rainbow Puzzle . Updated the Pyramorphix page with a new, simpler solution. Added javascript simulations of snake cubes , the Orbik , and the Rainbow Puzzle
    UPDATED . Added new pages for Think-a-Dot On the Level , the , and for Peter's Black Hole Magic Jack IQube . Added a new section on the Computer Cubing page about multi-phase searches. Added very nice javascript simulations of Think-a-Dot and the
    UPDATED . Added new pages for the SpongeBob puzzle and the Swissmad puzzle . Added new solutions and Magic Rings to the Rubik's Magic page. Added a new Tantrix Xtreme solution. Added javascript simulations of the SpongeBob puzzle and the Swissmad puzzle . Added a Polyform Puzzle Java Applet If you have a puzzle but don't know its name, then you can look at the
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