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Magic Square

See Also:
Sites:

» A Very, Very Magic Square Open in a new browser window
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 Open in a new browser window
Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line.

» Allmath.com: Magic Squares Game Open in a new browser window
Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided.

» Amof: Info on Magic Squares Open in a new browser window
The Amazing Mathematical Object Factory generator makes up to 10 squares of order 1 to 10. Brief history and introduction included.

» Constructing all Magic Squares of Order Three Open in a new browser window
Mathematical approach to the generation of order three squares by applying MacMahon's partition analysis. [PDF]

» Finding Magic Squares Using CCM Open in a new browser window
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].

» Generalized Magic Objects Open in a new browser window
Aale de Winkel's site on generalized objects, with generating function f() and conditions g(), sequences and pseudo-rings.

» Grog's Magic Squares Open in a new browser window
Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format.

» Java applet Open in a new browser window
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]

» MAA: Ivars Peterson's MathLand: More than Magic Squares Open in a new browser window
Introduction with reference to Victor Hill and Bach.

» Magic Cubes Open in a new browser window
Harvey Heinz's introduction to mathematical magic cubes including classification, a time-line and extensive bibliography."

» Magic Cubes and Tesseracts Open in a new browser window
Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese)

» Magic Rectangles and Squares Open in a new browser window
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 Open in a new browser window
Solve this 4x4 jig-saw puzzle. [Flash]

» Magic Squares Open in a new browser window
Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided.

» Magic Squares and Hyper Cubes Open in a new browser window
Includes Java Applet and source code of square and hyper cube generator. Options for dimensions and offset.

» Magic Squares at Math Cats: Fun, Easy, and Interactive! Open in a new browser window
Introduction to the Durer magic square. Activities including the magic carpet.

» Magic Squares by Edward W. Shineman Jr. Open in a new browser window
Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones.

» Magic Squares, Magic Stars and Other Patterns Open in a new browser window
Pages on magic squares, stars (original material) and miscellaneous number patterns. Downloads include BASIC programs, Excel and .zip files.

» Making Magic Squares Open in a new browser window
The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.

» Math Forum: Magic Squares Applet Open in a new browser window
Java applet and source files.[JRE to run]

» Math Forum: Magic Stars Open in a new browser window
Introduction to Magic Stars. Construction, analysis and transformations.

» Math Forum: Multiplying Magic Squares Open in a new browser window
Includes classroom material covering introduction, the math behind, and methods of construction.

» Math Forum: Suzanne Alejandre: Magic Squares Open in a new browser window
Curriculum resources, student activities and explanations of puzzles.

» MathWorld: Magic Squares Open in a new browser window
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.

» MathWorld: Panmagic Square Open in a new browser window
Demonstration of the properties of a pan-magic square.

» Mathpages: Franklin's Magic Squares Open in a new browser window
How Benjamin Franklin constructed his magic squares. Autobiographical extract included.

» Mathpages: Solving Magic Squares Open in a new browser window
An attempt to solve for all possible magic squares, a mathematical treatment.

» Multimagic Squares Open in a new browser window
Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)

» Nested Magic Squares Open in a new browser window
Definition of nested squares. Generation of even- and odd-sided squares, algorithms and matlab function. Samples of order up to 99 are presented.

» Notes on Magic Squares Open in a new browser window
Walter Trump explains magic squares, and presents computer estimates of squares of different orders.

» Prime Magic Squares Open in a new browser window
Introduction. Prime magic squares, programs and examples.

» PrimePuzzle #297. Queens on magic squares Open in a new browser window
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.

» Program on Hyper Magic Cubes Open in a new browser window
Downloadable program displays random hyper cubes of given order and dimension. It displays simple, pan-n-agonal and perfect hyper-cubes and inlaid squares.

» Science News for Kids: MatheMUSEments Open in a new browser window
Description of Durer's square and an alphamagic square.

» Siamese Method Open in a new browser window
The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.

» Simple Magic Square Checker Open in a new browser window
Enter numbers and display the magic square in gif or jpg formats.

» Skeleton Magic Squares Open in a new browser window
Demonstrates methods and algorithms for squares and cubes.

» The 3x3 Distinct Prime Magic Squares Page Open in a new browser window
A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program.

» The Anti-Magic Square Project Open in a new browser window
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 Open in a new browser window
Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects

» The Magic Square Record Open in a new browser window
Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.

» The Perfect Solutions for the Magic Square Open in a new browser window
Brief history and definition. Construction algorithms are presented for the odd, even, and singly even squares. (English/Korean)

» The Zen of Magic Squares, Circles, and Stars Open in a new browser window
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 Open in a new browser window
Introduction. World records up to 1994.

» Visual Magic Squares and Group Orbits I Open in a new browser window
Visual approach. Definition of Euler and Conway squares, with generating algorithm for the latter via Group Orbits. References.



Category Editor: mathmate

Last Updated: 2007-02-28 00:51:26


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