Magic Square

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.
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.
www.allmath.com/magicsquare.php

Amof: Info on Magic Squares - The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included.
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.
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]
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].
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.
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.
www.grogono.com/Magic/

Java applet - A documented Java applet that generates Magic Squares using a given starting number, increment, and starting location. Row, column and diagonal sums are displayed on request. Odd orders up to 7 are accepted. [JRE required]
www.ouh.nl/open/eyn/applets/magicsq.htm

MAA: Ivars Peterson's MathLand: More than Magic Squares - Introduction with reference to Victor Hill and Bach.
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."
members.shaw.ca/hdhcubes/

Magic Cubes - The site presents a program for finding all possible order 3 cubes, executable and source included.
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)
homepage2.nifty.com/googol/magcube/en/

The Magic Encyclopedia - Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects
home.wanadoo.nl/aaledewinkel/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.
www.gpj.connectfree.co.uk/mrm.htm

Magic Square Puzzle - Solve this 4x4 jig-saw puzzle. [Flash]
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.
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.
www.wou.edu/~burtonl/magic.html

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

Magic Squares - Description, properties and on-line construction. Tour of famous squares. (English/German) [Flash optional]
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.
net.indra.com/~charliek/

Magic Squares at Math Cats: Fun, Easy, and Interactive! - Introduction to the Durer magic square. Activities including the magic carpet.
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.
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.
www.geocities.com/~harveyh/

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

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

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

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

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

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

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

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

MathWorld: Panmagic Square - Demonstration of the properties of a pan-magic square.
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)
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.
robotics.eecs.berkeley.edu/~srinath/magic/

Notes on Magic Squares - Walter Trump explains magic squares, and presents computer estimates of squares of different orders.
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)
user.chollian.net/~brainstm/MagicSquare.htm

Prime Magic Squares - Introduction. Prime magic squares, programs and examples.
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.
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.
www.geocities.com/soni_abhinav/index.html

Science News for Kids: MatheMUSEments - Description of Durer's square and an alphamagic square.
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.
www.xs4all.nl/~thospel/siamese.html

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

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

Ulearn Today : article on Magic Squares - Introduction. World records up to 1994.
www.ulearntoday.com/magazine/physics_article1.jsp=3fFILE=3dmagicsquares

A Very, Very Magic Square - A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
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.
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.
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.
sprott.physics.wisc.edu/pickover/zenad.html