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• Science: Math: Recreations: Games and Puzzles  (86)

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 with just a few clicks. 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.

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.

The Magic Encyclopedia - - Encyclopedia with articles relating to magic squares, cubes, hypercubes and other object.

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. Souce code provided.

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 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.

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.

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.

Ulearn Today : article on Magic Squares - - Introduction. World records up to 1994.

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.

Walter Trump: Notes on Magic Squares - - An introduction, including computer estimates of squares of different orders.

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.