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Magic Square:     more books (100)

One Magic Square: The Easy, Organic Way to Grow Your Own Food on a 3-Foot Square by Lolo Houbein, 2010-02-16 Ben Franklin and the Magic Squares (Step-Into-Reading, Step 4) by Frank Murphy, 2001-02-27 Magic Square: Find the solution (Volume 1) by Gregory Zorzos, 2010-06-01 The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions by Clifford A. Pickover, 2002-06-15 Square Magic Quilts by Michelle J. Linder, 2009-08-04 Magic Squares by Mark S. Farrar, 2007-01-11 Western Mandalas of Transformation: Magical Squares - Tattwas - Qabalistic Talismans (Llewellyn's Golden Dawn Series) by Soror A.L., 1996-04-08 Before Sudoku: The World of Magic Squares by Seymour S Block, Santiago A Tavares, 2009-02-24 Magic squares and cubes by W S. b. 1847 Andrews, Paul Carus, et all 2010-08-27 Magic Squares: Learning the Inverse Relationships Between Addition and Subtraction (Math for the Real World) by Colleen Adams, 2004-01 The Magic Square: Cities in Ancient China by Arnoldsche Verlagsanstalt Gmbh, 1996-01-25 Occult Encyclopedia of Magic Squares: Planetary Angels and Spirits of Ceremonial Magic by Nineveh Shadrach, 2009-08-20 Magic Squares and Tree of Life: Western Mandalas of Power by Nineveh Shadrach, 2009-05-01 Latin Squares, Volume 46: New Developments in the Theory and Applications (Annals of Discrete Mathematics) by J. Denes, A.D. Keedwell, 1991-02-07

lists with details

1. Simple Magic Square Checker And Gif Maker
   Enter numbers and create a magic square in gif format.  
   http://www.geocities.com/CapeCanaveral/Lab/3469/squaremaker.html
   
   Extractions: Magic square elements (each separated by Default is blank): (Note: you can use letter and negative numbers.) Skip blanks Magic Square gif Magic Square table Magic Square check (Semimagic Square, Magic Square, Panmagic Square with Magic Constant = n(n +1)/2 or different) Interlaced GIF Transparent Background Background Colour in RGB mode Foreground Colour in RGB mode Utilty from Palette to RGB Press to submit your query. The option Magic Square check for normal Magic Square (1,2,...N) now generate the gif of Magic Line (a line that connects every number form 1 to N) After saving your Magic Square you can use the gif to create a magic square Texture Map in VRML Examples made with this tool Source Code You can also find the source code at CPAN authors/Fabrizio_Pivari/ From version 4.0 in the source code you can find a PERL program with the same features of this CGI-BIN script Yahoo Science:Mathematics:Games:Combinatorics The Perl Oasis archive Magic Square by Eric Weisstein in Eric's Treasure Trove of Mathematics Magic Squares by Mutsumi Suzuki Magic Squares by Suzanne Alejandre Math Forum Internet Resource Collection by Web Master

2. The Magic Square Record
   Includes short description of a magic square, rules for trying to break a magic square record and all the records between 1975 and now.  
   http://www.recordholders.org/en/records/magic.html
   
   Extractions: The Largest Magic Square A magic square is a quadratic scheme of numbers which adds up vertically, horizontally and diagonally to the same sum. Example: (sum is 15 for each row, column and diagonal) There is no such thing like a record for finding the world's largest magic square. There are well-known algorithms for constructing an arbitrarily large magic square. It is easy to compute very large magic squares. However, the records in this list are for printing or writing magic squares. You can read more about magic squares at forum.swarthmore.edu/alejandre/magic.square.html Interesting records for multi-magic squares (not only the sum of the numbers but also the sum of their squares, cubes, etc. must be the same) can be found at www.multimagie.com BOOKS: Solving Magic Squares The magic square must be written/printed on paper. It is not sufficient just to calculate it by a computer. It is allowed to compose the magic square from many sheets of paper, but they MUST lay together to form one scheme of numbers. This scheme must be a square, not just any rectangle. To verify the sums in each row/column and diagonal a test run of the used computer program should be made under supervision of a computer/ mathematics specialist who can prove that the program is correct.

3. Education 4 Kids Sponsored By "your Name Here" (a Free Educational Resource)
   Note This was called "magic square", but the name has been changed since it was not really a "magic square" where all rows, columns and  
   http://www.edu4kids.com/msq
   
   Extractions: Grey selection areas are for Members only. Join Now Welcome to the Math Square. The directions are simple. In each square put numbers until the total for the row (if you add up all the numbers) is equal to the value next to the row. Make sure you get the right values in each column and in the diagonal direction too! To see what it looks like, look below Note: This was called "Magic Square", but the name has been changed since it was not really a "magic square" where all rows, columns and diagonals added up to the same number. We offer three versions of this game. The first just uses numbers 1-9, the second lets you enter the starting number and then uses the next 8 numbers, and the third uses a set of random digits between 1-99. In all cases the center digit is filled in for you. No digit is used twice. We have added a nice feature that shows the numbers that are used in the Math Square. If you want to play the hard version really hard, play it without seeing the numbers. If you want to play it easier, turn on the numbers (they will be displayed above the game). Have fun! Starting Number:

4. Math Forum: Suzanne Alejandre: Magic Squares
   What is a magic square? Allan Adler defines and discusses some specialproperties of magic squares. Mike Morton s magic square Java Applet.  
   http://mathforum.org/alejandre/magic.square.html
   
   Extractions: Magic squares received their name because there are so many relationships between the sums of the numbers filling the squares. Students often believe that "mathematics" was "written" by one person. In these pages you will find that the magic square mathematical game has existed throughout history and in many different parts of the world. Math is all around us and your mind will see it when you're ready! Allan Adler defines and discusses some special properties of magic squares. Lo Shu Magic Square The Back of the Divine Tortoise

5. Magic Square
   Take the addition challenge and play the magic square. The objective of the game is to place a number into each square so that the sum of the squares equal to the number on the bottom and to the right of the square.  
   http://www.gomath.com/htdocs/game/magic
   
   Extractions: Take the addition challenge and play the Magic Square. The objective of the game is to place a number into each square so that the sum of the squares equal to the number on the bottom and to the right of the square. The sum of the numbers you entered must equal to the number on the bottom and to the right of the square when added vertically, horizontally and diagonally. Click on New Game to start playing.

6. Magic Square, Inc.
   Founded in 1996, magic square Inc. develops powerful Internet technologies, and educational software.  
   http://www.magicsquare.com/
   
   Extractions: Founded in 1996, Magic Square Inc. develops powerful Internet technologies, and educational software. is a highly interactive Internet graphics scripting technology. L3 is unique in its exceedingly small footprint and smooth animation. L3 is an excellent tool for both the p rofessional web designer, and for the amateur designer. Visit the L3 site to learn more, and to download the free fully functional evaluation copy LogoMation is a low-cost, easy to learn computer programming environment, for middle and high schools. Available on Windows and Macintosh. Visit the LogoMation site to learn more, and to download your free evaluation copy.

7. Magic Squares At Math Cats: Fun, Easy, And Interactive!
   Interactive magic squares! See how many ways the Durer magic square adds up to the same number. Go on to explore other fun magic squares. It is called a "panmagic square." We didn't invent this  
   http://www.mathcats.com/explore/puzzles/magicsquare.html
   
   Extractions: In magic squares, each row and each column and each diagonal adds up to the same number. But look at the green markings at the top of this page! This special magic square adds up to the same number in all of these ways. (Don't take our word for it! Use your mental math and see for yourself!) It is called a "pan-magic square." We didn't invent this magic square. A famous German artist, Albrecht Dürer, included it in an engraving called "Melancholia" in the year 1514! The most magic thing of all is that you can see the year "1514" in the middle of the bottom row.

8. LogoMation
   An easy to learn computer programming environment. Write programs that tell the computer to draw things. 21day trial.  
   http://www.magicsquare.com/LM2/
   
   Extractions: A Computer Language for Education If you arrived here looking for the LogoMation Sports Screen Saver , click HERE LogoMation is an easy to learn computer programming environment. It is available on Window (95, 98, NT 4.0, Win2000), and on Macintosh. The included LogoMation book provides step-by-step, clear and easy to follow instructions on using the development environment. LogoMation is for Middle and high-School students, learning computer programming. College-level introductory computer science courses. People who never programmed a computer, and always wanted to try. Seasoned programmers who want to have fun with animation. Please click on the buttons on the left to learn more about LogoMation. LogoMation support: Support@MagicSquare.com Questions and information: info@MagicSquare.com

9. Dubster.com - Magic Square Puzzle
   In this puzzle the goal is to have the total of each row and column to beequal to 30. Click on a piece to pick it up and click again to drop it.  
   http://www.dubster.com/math/

10. Freudenthal-Tits Magic Square
    FreudenthalTits magic square Here are some approaches from other points of view Geoffrey Dixon. John Baez - Division Algebras. C.H. Barton and A. Sudbery. J. M. Landsberg - Algebraic Geometry. References are based on the Freudenthal-Tits magic square, which shows relationships between division algebras and define the rows of the magic square; Jordan algebras define the columns  
    http://www.innerx.net/personal/tsmith/FTsquare.html
    
    Extractions: Tony Smith's Home Page Here are some approaches from other points of view: References The E6-E7-E8 structures are based on the Freudenthal-Tits Magic Square , which shows relationships between division algebras and matrix algebras. In particular: D ivision algebras define the rows of the Magic Square; J ordan algebras define the columns of the Magic Square; and Lie algebras Lie algebras L formed by the rule: L = Der(A) + (A0xJ0) + Der(J) where Der means derivation, + is direct sum, x is tensor product, A0 are the pure imaginary elements of A, R0=S0, C0=S1, Q0=S3, O0=S7, (here Sn means the algebra of tangent vectors to an n-dim sphere, and S0,S1,S3 are Lie algebras Geoffrey Dixon shows how to construct F4, E6, E7, and E8 from a slightly different point of view To get from Geoffrey Dixon's construction to my construction

11. A Very, Very Magic Square
    Includes a 25x25 magic square, properties of it and Maple and PostScript files for finding more properties of it.  
    http://www.math.lsa.umich.edu/~hderksen/magic.html

12. Magic Squares Math, History, Geography
    magic squares Math, History, Geography Designed primarily for middle school and older elementary school students, this Math Forum Web unit includes classroom activities for four different squares  
    http://rdre1.inktomi.com/click?u=http://mathforum.org/alejandre/magic.square.htm

13. Math Forum: Allan Adler - What Is A Magic Square?
    A Math Forum Web Unit Allan Adler s. What is a magic square? The next simplest isthe 3x3 magic square. and those derived from it by symmetries of the square.  
    http://mathforum.org/alejandre/magic.square/adler/adler.whatsquare.html
    
    Extractions: Allan Adler's Suzanne's Magic Squares Multiplying Magic Squares: Contents Exploring the Math A magic square is an arrangement of the numbers from to n^2 (n-squared) 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^2+1)/2 The (or, what is essentially the same, the 4x4 magic square I use) has many interesting special properties that are not shared by magic squares in general. They are so interesting that they are often pointed out when this square is presented. That is good, but can sometimes lead to misunderstandings as to which is the meat and which is the gravy. The meat is the definition I gave above. The gravy (or some of it), suggested by Jerome S. Meyer in his book, Fun with Mathematics

14. Magic Square -- From MathWorld
    magic square. If every number in a magic square is subtracted from , anothermagic square is obtained called the complementary magic square.  
    http://mathworld.wolfram.com/MagicSquare.html
    
    Extractions: A magic square consists of the distinct positive integers such that the sum of the n numbers in any horizontal, vertical, or main diagonal line is always the same number (Kraitchik 1952, p. 142; Andrews 1960, p. 1; Gardner 1961, p. 130; Madachy 1979, p. 84; Benson and Jacobi 1981, p. 3; Ball and Coxeter 1987, p. 193), known as the magic constant If every number in a magic square is subtracted from another magic square is obtained called the complementary magic square. A square consisting of consecutive numbers starting with 1 is sometimes known as a "normal" magic square. The unique normal square of order three was known to the ancient Chinese, who called it the Lo Shu . A version of the order 4 magic square with the numbers 15 and 14 in adjacent middle columns in the bottom row is called . Magic squares of order 3 through 8 are shown above. The magic constant for an n th order general magic square starting with an integer A and with entries in an increasing arithmetic series with difference D between terms is

15. Recmath Home Page
    Includes pages on magic squares and polyomino patterns and contains related java applets.  
    http://web.idirect.com/~recmath/

16. Magic Square From MathWorld
    magic square from MathWorld A magic square consists of the distinct positive integers 1, 2, , n^2 such that the sum of the n numbers in any horizontal, vertical, or main diagonal line is  
    http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/MagicSquare.html&a

17. Dürer's Magic Square -- From MathWorld
    Dürer s magic square. Dürer s magic thought. Dürer s magic squareis located in the upper righthand corner of the engraving. The  
    http://mathworld.wolfram.com/DuerersMagicSquare.html
    
    Extractions: Boyer, C. D. and Merzbach, U. C. A History of Mathematics. New York: Wiley, pp. 296-297, 1991. Burton, D. M. Cover illustration of Elementary Number Theory, 4th ed. Boston, MA: Allyn and Bacon, 1989. VNR Concise Encyclopedia of Mathematics, 2nd ed. New York: Van Nostrand Reinhold, 1989. Hunter, J. A. H. and Madachy, J. S. Mathematical Diversions. New York: Dover, 1975. Ollier, T. " Melancholia I, by Albrecht Durer: Detail and Annotation of Symbolism." http://www.pensword.com/durer.html Rivera, C. "Melancholia." http://www.primepuzzles.net/melancholia.htm

18. Math Forum: Allan Adler - What Is A Magic Square?
    Multiplying magic squares are techniques developed by Allen Adler and made into Web pages by Sarah Seastone and Suzanne Alejandre. A magic square is an arrangement of the numbers from 1 to n  
    http://mathforum.com/alejandre/magic.square/adler/adler.whatsquare.html
    
    Extractions: Allan Adler's Suzanne's Magic Squares Multiplying Magic Squares: Contents Exploring the Math A magic square is an arrangement of the numbers from to n^2 (n-squared) 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^2+1)/2 The (or, what is essentially the same, the 4x4 magic square I use) has many interesting special properties that are not shared by magic squares in general. They are so interesting that they are often pointed out when this square is presented. That is good, but can sometimes lead to misunderstandings as to which is the meat and which is the gravy. The meat is the definition I gave above. The gravy (or some of it), suggested by Jerome S. Meyer in his book, Fun with Mathematics

19. Magic Squares
    © dani/19992003. The famous Loh-Shu from 2800 BC It is the oldestknown magic square of the world. And you have the possibility  
    http://www.magic-squares.de/magic.html
    
    Extractions: url = new Array( 26,0,0, 0,"general/squares/squares.html","Information about magic squares", 0,"general/squares/information.html","Definition of magic squares", 0,"general/squares/magicsum.html","Magic sum", 0,"general/squares/transformations.html","Reflections and rotations of magic squares", 0,"general/squares/count.html","Counting magic squares", 0,"general/squares/number.html","Number of magic squares", 21,0,0, 0,"general/additional/links.html","Links to web sites with magic squares", 0,"general/additional/sitemap.html","Sitemap of www.magic-squares.de" );

20. Magic Square
    magic square. Content. Recurring Pattern To Create a magic square by Excel. Magic Circle. Magic Polyhedron  
    http://www.geocities.com/CapeCanaveral/Runway/7228

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