A Magic Square of order n is an arrangement of the numbers from 1 to n^2 (n-squared) in an n by n matrix. The sum of any row, any column, or any main diagonal must be the same. The smallest non-trivial case is of order 3.
The same idea can be extended to other shapes such as stars, cubes, circles, and so on. These are called Magic objects.
More information
Related categories 1
Sites 20
Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line.
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 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].
Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects
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.
Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.
Introduction to the Durer magic square. Activities including the magic carpet.
Pages on magic squares, stars with total basic solutions for each order from 5 to 11, and miscellaneous number patterns.
The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.
How Benjamin Franklin constructed his magic squares. Autobiographical extract included.
An attempt to solve for all possible magic squares, a mathematical treatment.
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.
Demonstration of the properties of a pan-magic square.
Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)
Walter Trump explains magic squares, and presents computer estimates of squares of different orders.
Introduction. Prime magic squares, programs and examples.
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.
The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.
A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares.
Pages on magic squares, stars with total basic solutions for each order from 5 to 11, and miscellaneous number patterns.
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.
Squares that remain magic after entries are raised to various powers. Examples, constructions, bibliography and links compiled by Christian Boyer. (English/French/German)
Try to put 8 queens on an 8x8 square such that the queens sit on prime numbers. Readers' solutions provided.
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.
Encyclopedia with articles relating to magic squares, cubes, hypercubes and other objects
The Durer and Loh Shu squares. Starting from basic operations, mathematical derive distinct squares from existing ones.
The Siamese method generates odd squares of any order above one. Explains the mathematics behind the scenes.
Walter Trump explains magic squares, and presents computer estimates of squares of different orders.
Introduction to magic squares. Basic/C computer programs to generate odd squares. Calculates 8x8 squares with any given date on the first line.
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].
Includes short description of magic squares. Keeps records for largest hand-written squares between 1975 and 1990.
Introduction to the Durer magic square. Activities including the magic carpet.
Definition, examples, and construction. Includes algorithms for odd, doubly and singly even squares.
How Benjamin Franklin constructed his magic squares. Autobiographical extract included.
Demonstration of the properties of a pan-magic square.
An attempt to solve for all possible magic squares, a mathematical treatment.
Introduction. Prime magic squares, programs and examples.
Features reviews, information and index of Clifford A. Pickover's book. Publication focuses on historical and cultural attitudes towards the significance of the squares.
A 25x25 magic square with 25 sub-squares and other properties. Maple program and PostScript files available for download.
Last update:
May 16, 2023 at 5:25:05 UTC
Check out
Regional: North America: United States: North Dakota: Localities: B: Bismarck: Business and Economy
- Recently edited by cherel
- Recently edited by cherel