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Top 20 Directory:
Top : Science : Math : Recreations : Magic_Square
See Also:

Sites:
  • 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 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: 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.
  • 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.
  • 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]
  • MAA: Ivars Peterson's MathLand: More than Magic Squares: Introduction with reference to Victor Hill and Bach.
  • 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)
  • 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]
  • Magic Squares: Description, properties and on-line construction. Tour of famous 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. Source code provided.
  • 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, 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.
  • 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.
  • Simple Magic Square Checker: Enter numbers and display the magic square in gif or jpg formats.
  • Skeleton Magic Squares: Demonstrates methods and algorithms for 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, cubes, hypercubes and other objects
  • The Magic Square Record: Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.
  • 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)
  • 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: Introduction. World records up to 1994.
  • 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.
  • Walter Trump: Notes on Magic Squares: An introduction, including computer estimates of squares of different orders.


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