Science: Math: Recreations: Magic_Square:

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• Science: Math: Recreations: Games and Puzzles  (74)

» 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.




» Allmath.com: Magic Squares Game - Interactive game to construct Magic Squares. Different degrees of difficulty and size of square. Hints and solutions provided.




» 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.




» 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.




» Constructing all Magic Squares of Order Three - Mathematical approach to the generation of order three squares by applying MacMahon's partition analysis. [PDF]




» Design your Magic Square - Enter numbers and display the magic square in gif or jpg formats.




» 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].




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




» Grog's Magic Squares - Presents the "Magic Carpet" approach by "Grog". Downloads available for analyzers and creators in Excel format.




» MAA: Ivars Peterson's MathLand: More than Magic Squares - Introduction with reference to Victor Hill and Bach.




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




» Magic Cubes - The site presents a program for finding all possible order 3 cubes, executable and source included.




» Magic Cubes and Tesseracts - Examples, original works, algorithms, and theorems on magic cubes, tesseracts, and hypercubes. (English/Japanese)




» The Magic Encyclopedia - Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects




» 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 - Solve this 4x4 jig-saw puzzle. [Flash]




» The Magic Square Record - Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.




» Magic Squares - Java applet generates odd ordered squares, with options to transformations by rotations and reflections. Source code provided.




» Magic Squares - An introduction, with algorithms for generating odd, and doubly even (4k) squares. References.




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




» Magic Squares and Hyper Cubes - 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! - Introduction to the Durer magic square. Activities including the magic carpet.




» Magic Squares by Edward W. Shineman Jr. - Features magic squares, rectangles and the author's signature magic diamonds commemorating historic and personal milestones.




» 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.




» Making Magic Squares - The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.




» Math Forum: Magic Squares Applet - Java applet and source files.[JRE to run]




» Math Forum: Magic Stars - Introduction to Magic Stars. Construction, analysis and transformations.




» Math Forum: Multiplying Magic Squares - Includes classroom material covering introduction, the math behind, and methods of construction.




» Math Forum: Suzanne Alejandre: Magic Squares - Curriculum resources, student activities and explanations of puzzles.




» Mathpages: Franklin's Magic Squares - How Benjamin Franklin constructed his magic squares. Autobiographical extract included.




» Mathpages: Solving Magic Squares - An attempt to solve for all possible magic squares, a mathematical treatment.




» MathWorld: Magic Squares - Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.




» MathWorld: Panmagic Square - Demonstration of the properties of a pan-magic square.




» 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)




» 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.




» Notes on Magic Squares - Walter Trump explains magic squares, and presents computer estimates of squares of different orders.




» 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)




» Prime Magic Squares - Introduction. Prime magic squares, programs and examples.




» 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.




» 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.




» Science News for Kids: MatheMUSEments - Description of Durer's square and an alphamagic square.




» Siamese Method - The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.




» A Very, Very Magic Square - A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.




» 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.




» The 3x3 Distinct Prime Magic Squares Page - A paper describing the generation of 3x3 Distinct Prime Magic Squares using a computer program.




» 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.

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