Magic Square

See also:

• Science: Math: Recreations: Games and Puzzles  (66)

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..

Bordered Magic Squares - Includes bordered or consecutively concentric magic squares. Demonstrates odd and even numbered squares and makes bordered squares of any size..

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]..

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: 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].

Magic Square Models - Explores the physical aspects of magic squares. A mass model demonstrates unique properties associated with the moment of inertia for the square. The topographical model looks at water retention patterns in the square..

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 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..

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).

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..

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..

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

4x4 Magic Square Solver - Given at least two numbers, provides possible solutions for a 4x4 magic square where the desired sum is 34..

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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