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 DIRECTORY/Science/Tech/Math/Recreations/Magic Square (44)
i0A Very, Very Magic Square - http://www.math.lsa.umich.edu/~hderksen/magic.html - A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
 
i0All You Wanted to Know About Magic Squares - http://www.markfarrar.co.uk/msfmsq01.htm - Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line.
 
i0Allmath.com: Magic Squares Game - http://www.allmath.com/magicsquare.php - Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided.
 
i0Amof: Information on Magic Squares - http://theory.cs.uvic.ca/~cos/amof/e_magiI.htm - The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included.
 
i0Constructing all Magic Squares of Order Three - http://people.brandeis.edu/~maxima/files/papers/magicsquare.pdf - Mathematical approach to the generation of order three squares by applying MacMahon's partition analysis.
 
i0Design your Magic Square - http://www.pivari.com/squaremaker.html - Enter numbers and display the magic square in gif or jpg formats.
 
i0Finding Magic Squares Using CCM - http://www.kanadas.com/ccm/magic-square/index.html - The Chemical Casting Model (CCM) generation method is demonstrated with a Java Applet. Source code and description of algorithm included. (English/Japanese) [JRE required for Applet only].
 
i0Generalized Magic Objects - http://home.wanadoo.nl/aaledewinkel/Gen_Magic/ - Aale de Winkel's site on generalized objects, with generating function f() and conditions g(), sequences and pseudo-rings.
 
i0Grog's Magic Squares - http://www.grogono.com/Magic/ - Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format.
 
i0MAA: Ivars Peterson's MathLand: More than Magic Squares - http://www.maa.org/mathland/mathland_10_14.html - Introduction with reference to Victor Hill and Bach.
 
i0Magic Cubes - http://members.shaw.ca/hdhcubes/ - Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography."
 
i0Magic Cubes - http://www.delphiforfun.org/Programs/Source_Listings/MagicCubeSource.html - The site presents a program for finding all possible order 3 cubes, executable and source included.
 
i0Magic Cubes and Tesseracts - http://homepage2.nifty.com/googol/magcube/en/ - Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese)
 
i0Magic Rectangles and Squares - http://www.gpj.connectfree.co.uk/mrm.htm - Presents 2xn and 3xn rectangles, as well as squares of order 4,5 and 8. Generation of the last by knight's tour.
 
i0Magic Square Puzzle - http://www.dubster.com/math - Solve this 4x4 jig-saw puzzle. [Flash]
 
i0Magic Squares - http://www.jcu.edu/math/vignettes/magicsquares.htm - An introduction, with algorithms for generating odd, and doubly even (4k) squares. References.
 
i0Magic Squares - http://www.wou.edu/~burtonl/magic.html - Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided.
 
i0Magic Squares and Hyper Cubes - http://net.indra.com/~charliek/ - Includes Java Applet and source code of square and hyper cube generator. Options for dimensions and offset.
 
i0Magic Squares at Math Cats: Fun, Easy, and Interactive! - http://www.mathcats.com/explore/puzzles/magicsquare.html - Introduction to the Durer magic square. Activities including the magic carpet.
 
i0Magic Squares by Edward W. Shineman Jr. - http://www.eds-magic-squares.com - Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones.
 
i0Magic Squares, Magic Stars and Other Patterns - http://www.geocities.com/~harveyh/ - Pages on magic squares, stars (original material) and miscellaneous number patterns. Downloads include BASIC programs, Excel and .zip files.
 
i0Making Magic Squares - http://www.netcomuk.co.uk/~jenolive/roymagic.html - The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.
 
i0Math Forum: Magic Squares Applet - http://mathforum.org/alejandre/java/magpuz/MagPuz.html - Java applet and source files.[JRE to run]
 
i0Math Forum: Magic Stars - http://mathforum.org/alejandre/magic.star/ - Introduction to Magic Stars. Construction, analysis and transformations.
 
i0Math Forum: Multiplying Magic Squares - http://mathforum.org/alejandre/magic.square/adler/ - Includes classroom material covering introduction, the math behind, and methods of construction.
 
i0Math Forum: Suzanne Alejandre: Magic Squares - http://mathforum.org/alejandre/magic.square.html - Curriculum resources, student activities and explanations of puzzles.
 
i0MathWorld: Magic Squares - http://mathworld.wolfram.com/MagicSquare.html - Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.
 
i0MathWorld: Panmagic Square - http://mathworld.wolfram.com/PanmagicSquare.html - Demonstration of the properties of a pan-magic square.
 
i0Mathpages: Franklin's Magic Squares - http://mathpages.com/home/kmath155.htm - How Benjamin Franklin constructed his magic squares. Autobiographical extract included.
 
i0Mathpages: Solving Magic Squares - http://www.mathpages.com/home/kmath295.htm - An attempt to solve for all possible magic squares, a mathematical treatment.
 
i0Multimagic Squares - http://cboyer.club.fr/multimagie/ - Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)
 
i0Notes on Magic Squares - http://www.trump.de/magic-squares/index.html - Walter Trump explains magic squares, and presents computer estimates of squares of different orders.
 
i0Prime Magic Squares - http://digilander.libero.it/ice00/magic/ - Introduction. Prime magic squares, programs and examples.
 
i0PrimePuzzle #297. Queens on magic squares - http://www.primepuzzles.net/puzzles/puzz_297.htm - Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.
 
i0Program on Hyper Magic Cubes - http://www.geocities.com/soni_abhinav/index.html - Downloadable program displays random hyper cubes of given order and dimension. It displays simple, pan-n-agonal and perfect hyper-cubes and inlaid squares.
 
i0Science News for Kids: MatheMUSEments - http://www.sciencenewsforkids.org/pages/puzzlezone/muse/muse1103.asp - Description of Durer's square and an alphamagic square.
 
i0Siamese Method - http://www.xs4all.nl/~thospel/siamese.html - The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.
 
i0The 3x3 Distinct Prime Magic Squares Page - http://www.dcs.gla.ac.uk/~pd/Numbers/MagicSquares/ - A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program.
 
i0The Anti-Magic Square Project - http://io.uwinnipeg.ca/~vlinek/jcormie/ - Starting from the definition of an Anti-Magic Square (AMS), the article presents the structure and construction methods of the AMS. Programs written in the c-language are available for download.
 
i0The Magic Encyclopedia - http://www.magichypercubes.com/Encyclopedia/ - Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects
 
i0The Magic Square Record - http://www.recordholders.org/en/records/magic.html - Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.
 
i0The Perfect Solutions for the Magic Square - http://user.chollian.net/~brainstm/MagicSquare.htm - Brief history and definition. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean)
 
i0The Zen of Magic Squares, Circles, and Stars - http://sprott.physics.wisc.edu/pickover/zenad.html - Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares.
 
i0Visual Magic Squares and Group Orbits I - http://www.mi.sanu.ac.yu/vismath/pais/pais.html - Visual approach. Definition of Euler and Conway squares, with generating algorithm for the latter via Group Orbits. References.
 
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