for printing the squre,but since you can 'input' large numbers, you dont need this
Magic square generator algorithm pdf#
Here is the full code in C# as a pdf file: MagicSquareĪlso, check out another implementation using C++ In this post, we’ll implement the odd square using C# which is more simple than the even one. To learn more about each pattern see: Odd and Evenīased on that knowledge, if we know the pattern then let’s make the computer handle all the paper-work! Place 1 anywhere except the middle position. Algorithm to solve a nn magic square: It follows the following conditions: 1. It has a constant sum in every row, column, diagonal, which is known as magic sum. Luckily, smart people noticed that there is some kind of a pattern for filling the correct numbers in the correct cells in order to get a magic square, as well as they also observed that odd magic squares follow a different pattern than the even ones. A magic square is a 2D square matrix of distinct positive integers from 1 to n2. Also, there are two kinds of magic squares: You might have heard of palindromic sentences. certain formulas for generating the patterns. Basically, you have a matrix – a square 2 dimensional array, which you have to fill in the numbers in each cell of the matrix starting from 1 so that the sum of all the numbers in each column equals to the sum for each line and both diagonal lines. Is there a magic Sator Square grid in English Wladston Filho January 3, 2018. Keywords: Square matrix, Magic Square, Doubly even order, Magic Constant.
![magic square generator algorithm magic square generator algorithm](https://i.ytimg.com/vi/EQ6JHNSFs8o/hqdefault.jpg)
An example of this is given below in the image, where the. The dimension of the square matrix is an (odd integer x odd integer) e.g., 3×3, 5×5, 7×7. The numbers in each vertical, horizontal, and diagonal row add up to the same value. The second can generate squares for both odd and even square sizes. A Magic Square is: The square is itself having smaller squares (same as a matrix) each containing a number. The first is a simple version, which only generates magic squares for odd square sizes using an optimized algorithm.
![magic square generator algorithm magic square generator algorithm](https://plus.maths.org/issue38/features/aiden/table2.gif)
Below are 2 versions of a Magic Square generator. Magic squares are a cool mathematical trick. Hi forsight-ga, I adapted the implementation on to use dynamic arrays instead.