https://github.com/r4nd0lph-c/magic_square_generator

This class is an implementation of a normal magic square.
https://github.com/r4nd0lph-c/magic_square_generator

mathematics

Last synced: 2 days ago
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This class is an implementation of a normal magic square.

• Host: GitHub
• URL: https://github.com/r4nd0lph-c/magic_square_generator
• Owner: r4nd0lph-c
• Created: 2022-09-27T19:29:46.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2024-06-21T14:31:15.000Z (8 months ago)
• Last Synced: 2024-12-09T05:07:03.680Z (about 2 months ago)
• Topics: mathematics
• Language: Java
• Homepage:
• Size: 29.3 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Magic Square generator ✨

### Theory

A Magic square is a square array n×n filled with n² different numbers in such a way that the sum of the numbers in each row, each column and on both diagonals is the same.

If the array includes just the positive integers 1, 2, ..., n² the magic square is said to be normal.

 * Order is the number of integers along one side n;

 * Magic constant is the sum of the numbers in each row, column and on the diagonals, depends only on n and is determined by the formula n×(n²+1)/2.

 

 Normal magic squares exist for all orders of n>=1, with the exception of n=2, although the case of n=1 is trivial - the square consists of a single number.

 

This class is an implementation of a normal magic square.

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### Examples

```java

 // Creating a class object (size n)

 MagicSquare square = new MagicSquare(n);

 

 // Get the order value

 square.getOrder();

 

 // Get the magic constant value

 square.getMagicConstant();

 

 // Displaying the elements of the magic square on the screen

 for (int i = 0; i < square.getOrder(); i++) {

     for (int j = 0; j < square.getOrder(); j++) {

         System.out.print(square.getBody()[i][j] + " ");

     }

     System.out.println("");

 }

```

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### Results

![result image](result.png)

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### References to the sources used

- [Definition](https://en.wikipedia.org/wiki/Magic_square "Definition")

- [Odd Magic Squares | Algorithm](https://www.1728.org/magicsq1.htm "Odd Magic Squares | Algorithm")

- [Doubly Even Magic Squares | Algorithm](https://www.1728.org/magicsq2.htm "Doubly Even Magic Squares | Algorithm")

- [Singly Even Magic Squares | Algorithm](https://www.1728.org/magicsq3.htm "Singly Even Magic Squares | Algorithm")

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