Contents  > Science  > Math  > Recreations  > Magic Square

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• Science: Math: Recreations: Games and Puzzles  (75)

All You Wanted to Know About Magic Squares Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line. http://www.markfarrar.co.uk/msfmsq01.htm

Allmath.com: Magic Squares Game Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided. http://www.allmath.com/magicsquare.php

Amof: Information on Magic Squares The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included. http://theory.cs.uvic.ca/~cos/amof/e_magiI.htm

The Anti-Magic Square Project 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. http://io.uwinnipeg.ca/~vlinek/jcormie/

Constructing all Magic Squares of Order Three Mathematical approach to the generation of order three squares by applying MacMahon's partition analysis. [PDF] http://people.brandeis.edu/~maxima/files/papers/magicsquare.pdf

Finding Magic Squares Using CCM 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]. http://www.kanadas.com/ccm/magic-square/index.html

Generalized Magic Objects Aale de Winkel's site on generalized objects, with generating function f() and conditions g(), sequences and pseudo-rings. http://home.wanadoo.nl/aaledewinkel/Gen_Magic/

Grog's Magic Squares Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format. http://www.grogono.com/Magic/

MAA: Ivars Peterson's MathLand: More than Magic Squares Introduction with reference to Victor Hill and Bach. http://www.maa.org/mathland/mathland_10_14.html

Magic Cubes Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography." http://members.shaw.ca/hdhcubes/

Magic Cubes The site presents a program for finding all possible order 3 cubes, executable and source included. http://www.delphiforfun.org/Programs/Source_Listings/MagicCubeSource.html

Magic Cubes and Tesseracts Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese) http://homepage2.nifty.com/googol/magcube/en/

The Magic Encyclopedia Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects http://www.magichypercubes.com/Encyclopedia/

Magic Rectangles and Squares Presents 2xn and 3xn rectangles, as well as squares of order 4,5 and 8. Generation of the last by knight's tour. http://www.gpj.connectfree.co.uk/mrm.htm

Magic Square Puzzle Solve this 4x4 jig-saw puzzle. [Flash] http://www.dubster.com/math

The Magic Square Record Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990. http://www.recordholders.org/en/records/magic.html

Magic Squares Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided. http://www.wou.edu/~burtonl/magic.html

Magic Squares An introduction, with algorithms for generating odd, and doubly even (4k) squares. References. http://www.jcu.edu/math/vignettes/magicsquares.htm

Magic Squares Description, properties and on-line construction. Tour of famous squares. (English/German) [Flash optional] http://www.magic-squares.de/magic.html

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/

Magic Squares at Math Cats: Fun, Easy, and Interactive! Introduction to the Durer magic square. Activities including the magic carpet. http://www.mathcats.com/explore/puzzles/magicsquare.html

Magic Squares by Edward W. Shineman Jr. Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones. http://www.eds-magic-squares.com

Magic Squares, Magic Stars and Other Patterns Pages on magic squares, stars (original material) and miscellaneous number patterns. Downloads include BASIC programs, Excel and .zip files. http://www.geocities.com/~harveyh/

Making Magic Squares The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones. http://www.netcomuk.co.uk/~jenolive/roymagic.html

Math Forum: Magic Squares Applet Java applet and source files.[JRE to run] http://mathforum.org/alejandre/java/magpuz/MagPuz.html

Math Forum: Magic Stars Introduction to Magic Stars. Construction, analysis and transformations. http://mathforum.org/alejandre/magic.star/

Math Forum: Multiplying Magic Squares Includes classroom material covering introduction, the math behind, and methods of construction. http://mathforum.org/alejandre/magic.square/adler/

Math Forum: Suzanne Alejandre: Magic Squares Curriculum resources, student activities and explanations of puzzles. http://mathforum.org/alejandre/magic.square.html

Mathpages: Franklin's Magic Squares How Benjamin Franklin constructed his magic squares. Autobiographical extract included. http://mathpages.com/home/kmath155.htm

Mathpages: Solving Magic Squares An attempt to solve for all possible magic squares, a mathematical treatment. http://www.mathpages.com/home/kmath295.htm

MathWorld: Magic Squares Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares. http://mathworld.wolfram.com/MagicSquare.html

MathWorld: Panmagic Square Demonstration of the properties of a pan-magic square. http://mathworld.wolfram.com/PanmagicSquare.html

Multimagic Squares Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German) http://cboyer.club.fr/multimagie/

Nested Magic Squares Definition of nested squares. Generation of even- and odd-sided squares, algorithms and matlab function. Samples of order up to 99 are presented. http://robotics.eecs.berkeley.edu/~srinath/magic/

Notes on Magic Squares Walter Trump explains magic squares, and presents computer estimates of squares of different orders. http://www.trump.de/magic-squares/index.html

The Perfect Solutions for the Magic Square Brief history and definition. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean) http://user.chollian.net/~brainstm/MagicSquare.htm

Prime Magic Squares Introduction. Prime magic squares, programs and examples. http://digilander.libero.it/ice00/magic/

PrimePuzzle #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

Program on Hyper Magic Cubes Downloadable program displays random hyper cubes of given order and dimension. It displays simple, pan-n-agonal and perfect hyper-cubes and inlaid squares. http://www.geocities.com/soni_abhinav/index.html

Science News for Kids: MatheMUSEments Description of Durer's square and an alphamagic square. http://www.sciencenewsforkids.org/pages/puzzlezone/muse/muse1103.asp

Siamese Method The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes. http://www.xs4all.nl/~thospel/siamese.html

Simple Magic Square Checker Enter numbers and display the magic square in gif or jpg formats. http://www.geocities.com/CapeCanaveral/Lab/3469/squaremaker.html

Skeleton Magic Squares Demonstrates methods and algorithms for squares and cubes. http://web.onetel.com/~johnkim/

A Very, Very Magic Square A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download. http://www.math.lsa.umich.edu/~hderksen/magic.html

Visual Magic Squares and Group Orbits I Visual approach. Definition of Euler and Conway squares, with generating algorithm for the latter via Group Orbits. References. http://www.mi.sanu.ac.yu/vismath/pais/pais.html

The 3x3 Distinct Prime Magic Squares Page A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program. http://www.dcs.gla.ac.uk/~pd/Numbers/MagicSquares/

The Zen of Magic Squares, Circles, and Stars Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares. http://sprott.physics.wisc.edu/pickover/zenad.html