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Magic Square: more books (100)

New Recreations With Magic Squares by William H. Benson, Oswald Jacoby, 1976-01
Klee: Magic Squares (Petite encyclopeýýdie de l'art) by Joseph-Emile Muller, 1957
The Mystic Fortune Teller: With The Magic Square by Walter Gibson, 2008-06-13
Pan magic Squares: Find the Solution Vol. I (Volume 1) by Gregory Zorzos, 2010-07-01
Pan magic Squares: Find the Solution Vol. II (Volume 2) by Gregory Zorzos, 2010-08-03
Round Magic Square: Find the solution (Volume 1) by Gregory Zorzos, 2010-07-01
Recreations With Magic Squares: The Eight Queens' Problem Solved By Magic Squares, And Domino Squares (1894) by Cavendish, 2010-09-10
Magic Squares by Calter, 1977-07
Magic Square 7x7: Find the solution - Vol. I solutions (Volume 1) by Gregory Zorzos, 2010-06-01
Most Perfect Pandiagonal Magic Squares by Kathleen Ollerenshaw, David Bree, 1998-10-01
The Wonders of Magic Squares by Jim Moran, 1982-03
Graph Super Magic Square 3x3: Brain Teasers Vol. I (Volume 1) by Gregory Zorzos, 2010-08-03
Magic Squares by John Lee Fults, 1977-04
Magic Square 7x7: Find the solution (Volume 1) by Gregory Zorzos, 2010-06-01

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Grogono Magic Squares Home Page
Conversion To convert a magic square starting at one to a traditional square, one is added to each cell in the square.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Amof:Info On Magic Squares
The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10 with just a few clicks. Brief history and introduction included.
http://theory.cs.uvic.ca/~cos/amof/e_magiI.htm

Extractions: Description Example History Applications ... Links Draw a 3 by 3 grid on a piece of paper. Now try to place the numbers 1 through 9 into the squares in such a way that all columns, all rows and both diagonals add up to the same amount. The result is known as a magic square In general, a magic square is an n x n matrix of numbers where each row, each column and both diagonals add up to n n The simplest magic square is the 1 by 1. This is simply a 1. There are no 2 by 2 magic squares, but there are for 3 by 3, 4 by 4, 5 by 5, and so on. For example, all the magic squares of size 3 by 3 are shown below: Notice that all of these squares can be obtained from the first one through flips and turns (rotations) of the first magic square. AMOF will only generate one of these 8 squares. Magic Squares are claimed to go back as far as 2200 BC when the Chinese called them lo-shu. According to legend, the pattern was first revealed on the shell of a turtle that crawled out of the Lo River in the twenty-third century B.C. Here is the lo-shu magic square: The first indication of any mathematical investigation into magic squares was from Cornelius Agrippa. In the early part of the 15th century in Europe, he constructed magic squares from orders 3 to 9. He associated these squares with the planets then known, including the sun and moon.
Associative Magic Square -- From MathWorld
An nxn magic square for which every pair of numbers symmetrically The numbers of associative magic squares of order 1, 2, are 1, 0, 1, 48, .
http://mathworld.wolfram.com/AssociativeMagicSquare.html

Extractions: MATHWORLD - IN PRINT Order book from Amazon Recreational Mathematics Magic Figures Magic Squares Associative Magic Square An magic square for which every pair of numbers symmetrically opposite the center sum to . The Lo Shu is associative but not panmagic . The numbers of associative magic squares of order 1, 2, ... are 1, 0, 1, 48, ... (Sloane's Order four squares can be panmagic or associative, but not both. Order five squares are the smallest which can be both associative and panmagic , and 16 distinct associative panmagic squares exist, one of which is illustrated above (Gardner 1988). The numbers of associative panmagic squares of order 1, 2, ... are therefore 1, 0, 0, 0, 16, ... (Sloane's SEE ALSO: Magic Square Panmagic Square [Pages Linking Here] REFERENCES: Gardner, M. "Magic Squares and Cubes." Ch. 17 in Time Travel and Other Mathematical Bewilderments.
Allmath.com
Features free flashcards, a magic square game, biographies of mathematicians, and other resources.
http://www.allmath.com/
Shin's Magic Square World
The Perfect Solution For the MAGIC SQUARE . .. .KOREAN( ). .. . Since July 1997
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Magic Squares
, properties and online construction. Tour of famous squares. (English/German) Flash optional
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" );
Education 4 Kids Sponsored By "your Name Here" (a Free Educational
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://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Math Forum Suzanne Alejandre Magic Squares
What is a magic square? Allan Adler defines and discusses some special properties of magic squares.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Math Forum Allan Adler - What Is A Magic Square?
What is a magic square?
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Magic Squares, Stars, And Other
Pages on magic squares, stars (original material) and miscellaneous number patterns. Downloads include BASIC programs, Excel and .zip files.
http://www.geocities.com/~harveyh/

Extractions: M I hope you enjoy these examples from my collection of number patterns. This site has three sections, with pages on magic squares, magic stars (a lot of original material) and miscellaneous number patterns. This site should be of interest to middle and high school students and teachers, and anyone interested in recreational mathematics. Wherever there is number, there is beauty. Proclus (410-485 A.D.) A new page containing additions to the magic stars site. It also contains links to three new pages of material from Simon Whitechapel, Jon Wharf, and Andrew Howroyd. All three have contributed significantly to magic star knowledge, including confirming total solution counts. Cube Site Also, I corrected some links and minor cosmetic changes to a number of pages. Dec. 17, 2004. I installed a search engine service for help in locating objects on my Geocities and Shaw Web sites. The index for both sites is combined, so entering a search term will supply a combined list of hits from both sites. In Sept. 2003, I added another button to the top of each page in this site. It points to a new site of 30 + pages discussing the history and many features of magic cubes.
Puzzling Phenomenon Sweeps British Papers
feng shui qualities of the "magic square " in which the sum of every row or column of numbers organized in, say, a threeby-three square, is
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Magic Squares
Examples of many different types of magic squares. Other sections on orders 5 to 12 magic stars and number patterns. Recreational mathematics links.
http://www.geocities.com/~harveyh/magicsquare.htm

Extractions: # 1233 of 3600 pandiagonal solutions Magic Squares are a form of number pattern that has been around for thousands of years. For a pure or normal magic square, all rows, columns, and the two main diagonals must sum to the same value and the numbers used must be consecutive from 1 to n , where n is the order of the square. Many variations exist that contain numerous other features. I show on these pages samples of the large variety of magic squares. My descussions will be limited to brief comments on the individual illustrations. Perhaps in the future, I will add more in depth information in the way of history, theory, construction methods, etc. Acknowledgments : As with all the mateial on this site, most of these illustrations are original with myself or I consider them in the public domain (i.e. I have multiple sources for the illustration). Many of the more unusual figures are one of a kind and I so acknowledge the author with thanks for permission to use them.
Magic Square From MathWorld
A magic square is a square array of numbers consisting of the distinct positive integers 1, 2, , n^2 arranged such that the sum of the n numbers
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Allmath.com - Math Site For Kids! Home Of Flashcards, Math
Features free flashcards, a magic square game, biographies of mathematicians, and other resources.
http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126
Magic Squares And Hyper Cubes
Includes Java Applet and source code of square and hyper cube generator. Options for dimensions and offset.
http://net.indra.com/~charliek/

Extractions: Magic squares are arrangements of numbers into squares, cubes, or hyper-cubes where the sum of each row and each column is identical. Additionally, the sum along the "principal diagonals" is also equal to the same number. The magic square below was known in antiquity in China, Greece, and Egypt. It is interesting to note that subtracting a constant from each cell in a magic square or hyper-cube does not change its essential property: namely, that the sum of any row, column, or principal diagonal is identical. For example, the following magic square is obtained by subtracting 5 from each cell in the magic square above: An interesting property about this square is that all rows, columns, and principal diagonals sum to 0. Also, it is easy to visually recognize symmetry in the square. This web site contains: Examples Instructions Applications Theory ... Symmetry - examples using "tuples" Generator - program for generating magic squares and Hyper Cubes Other Web Sites for Magic Squares and Cubes Please see the Instructions Page before viewing the Magic Squares and Hyper Cubes Generator P.O. Box 567; Niwot, CO 80544
More Magic Squares
Look at more 4 x 4 magic squares to see if they are panmagic squares.
http://www.mathcats.com/explore/puzzles/magicsquare4x4.html

Extractions: go back Magic Squares Click on any magic square below and travel to a magic carpet filled with that square. Use the movable picture frame on each page and place it around ANY numbers. Do you get another magic square? Do all the groups of cells shown in green above still add up to the same number? Keep moving the frame around and see how many different magic squares you can find on each page!
Puzzle 297. Queens On Magic Squares
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.
http://www.primepuzzles.net/puzzles/puzz_297.htm

Extractions: Puzzles Puzzle 297. Queens on magic squares Dear friends: I will be traveling for the next 15 days through China. If I can get a stable contact with the server of my site from my laptop, I will try to continue posing puzzles, every Saturday morning. Otherwise, the next puzzle will come the next 15/1/2005. From the bottom of my heart, enjoy this season holydays and receive my very best wishes for the next year, 2005. Thanks for your continuous support participating in this special circle of friends of the prime numbers. Anurag Sahay poses the following puzzle: Construct a magic square n x n (using the numbers 1 to n ) and place n queens only on these cells which contain prime numbers, such that no queen can take any other queen. 1. What is the smallest magic square (n) having solution?
Grogono Magic Squares Home Page
magic squares home page a website for maths lovers and recreational mathematicians.
http://www.grogono.com/magic/

Extractions: Revisions A Magic square is intriguing; its complexity challenges the mind. For order 4 and above the number of different magic squares is astonishing - and the number remains large even if we limit consideration to Pan-Magic squares. This website reflects my own fascination with these large numbers and presents techniques aimed at explaining and reducing the huge numbers by showing how this abundance can be reduced to a small number of underlying patterns or Magic Carpets Do it yourself! Make your own magic square of any size up to 97x97. The development of this website was associated with several intriguing discoveries. Please look at the pages for the Order 4 Order 5 Order 6 magic squares. This Magic Square website is dedicated to my father E.B. Grogono (1909 - 1999) and was originally created at his bedside during his last illness. My fondest memories of him, from my earliest childhood to the final days of his life, center on his ability to transmit his love for, and fascination with, mathematics and science. This revision uses up to date technology to make the website easier to manage and the material has been re-arranged to make it more accessible. A glossary has been added and the index system has been revised.
Make Your Own 5x5 Magic Square
Make your own magic squares automatically generate a 5x5 magic square.
http://www.grogono.com/magic/makeyourown5.php

Extractions: broken diagonals. The numbers in the Red Squares form the 3x3 magic Square. The numbers beside the Red Squares show the totals for each row. The horizontal and vertical totals are to the right and below in green squares. The other, blue, squares show the diagonal totals - including all of the "broken diagonals". You can make your own Magic Square in two ways. Try both methods:
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
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.

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