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A Very, Very Magic Square
A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
All You Wanted to Know About Magic Squares
Introduction to magic squares. Basic/C computer programs to generate odd magic squares. Calculates 8x8 magic squares with any given date on the first line.
Allmath.com: Magic Squares Game
Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided.
Alphamagic Squares
From the Lo-Shu square, the story goes to another apparently simple square that has unusual alphamagic properties. A Pascal program is provided for the curious mind.
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.
Constructing all magic squares of order three
Mathematical approach to the generation of squares of order three by applying MacMahon's partition analysis.
Finding Magic Squares Using CCM
The Chemical Casting Model (CCM) method is used to create Magic Squares as demonstrated with a Java Applet. Source code and description of computation method included. (English/Japanese) [JRE required for Applet only].
Generalized Magic Objects
Aale de Winkel's site on generalized magic objects, with generating function f() and magic conditions g(), sequences and pseudo-rings.
Grog's Magic Squares
The "Magic Carpet" approach to understanding Magic Squares by "Grog". Downloads available for analyzers and creators in Excel format.
Java applet
A Java applet complete with instructions that creates 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]
MAA: Ivars Peterson's MathLand: More than Mag
Introduction with reference to Victor Hill and Bach.
Magic Cubes
The site presents a program for finding all possible 3x3x3 magic cubes, executable and source included.
Magic Cubes and Tesseracts
Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese)
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.
Magic Square Puzzle
A magic square puzzle. [Flash]
Magic Squares
Description, properties and on-line construction of magic squares. Tour of famous magic squares. (English/German) [Flash optional]
Magic Squares
An introduction, with algorithms for generating odd, and doubly even (4k) squares. References.
Magic Squares
Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Souce code provided.
Magic Squares and Hyper Cubes
Includes Java Applet generators and source code for magic squares and hyper cubes with options for dimensions and offset.
Magic Squares at Math Cats: Fun, Easy, and Interac
Introduction to the Durer magic square. Magic squares activities including the magic carpet.
Magic Squares, Magic Stars and Other Patterns
Pages on magic squares, magic stars (a lot of original material) and miscellaneous number patterns. Downloads include BASIC programs, Excel and .zip files.
Making magic squares
History of the Durer and Loh Shu squares. Starting from basic operations, shows how distinct magic squares can be mathematically derived from existing ones.
Math Forum: Magic Squares Applet
Java applet and source files.[JRE to run]
Math Forum: Magic Stars
Introduction to Magic Stars and their construction, analysis and transformation.
Math Forum: Multiplying Magic Squares
Includes pages, most for use in the classroom, covering what a magic square is, the math behind them and how they are constructed.
Math Forum: Suzanne Alejandre: Magic Squares
Resources for including magic squares in the curriculum, with activities for students and explanations of these interesting puzzles.
Mathpages: Franklin's Magic Squares
Covers how Franklin constructed his magic squares including an autobiographical extract.
Mathpages: Solving Magic Squares
An attempt to solve for all possible magic squares, a mathematical treatment.
MathWorld: Magic Squares
Definition, examples, and construction of magic squares, including algorithms for odd, doubly and singly even squares.
MathWorld: Panmagic Square
Demonstration of the properties of a pan-magic square.
Multimagic Squares
Magic squares which remain magic after their entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)
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.
Prime Magic Squares
Introduction to magic squares, prime magic squares, programs and examples.
PrimePuzzle #297. Queens on magic squares
A challenge to put 8 queens on an 8x8 magic square such that the queens sit on prime numbers. Readers' solutions provided.
Science News for Kids: MatheMUSEments
Description of the Durer's 4x4 Magic Square and an alphamagic square.
Siamese method
The Siamese method generates odd magic squares of any order above one. This site explains in detail the mathematics behind the scenes.
Simple Magic Square Checker
Enter numbers and create a magic square in gif or jpg formats.
Skeleton Magic Squares
Demonstrates methods and algorithms on how to make magic squares and cubes.
The 3x3 Distinct Prime Magic Squares Page
A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program.
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.
The Magic Encyclopedia
Encyclopedia with articles relating to magic squares, magic cubes, magic hypercubes and other objects
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.
The Perfect Solutions for the Magic Square
Brief history and definition of magic squares. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean)
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.
Ulearn Today : article on Magic Squares
A concise introduction to the subject, including world records up to 1994.
Visual Magic Squares and Group Orbits I
A visual approach to the subject. Definition of Euler and Conway squares, with generating algorithm for the latter via Group Orbits. References.
Walter Trump: Notes on Magic Squares
An introduction, including computer estimates of squares of different orders.