Abstract For Magic Squares

Also the addition of numbers in backward and forward diagonal gives the same number.

Abstract for magic squares. So for the example below 15 is the magic number. If n is the number of columns and rows in the magic square then the magic sum is given by this formula. Abstractin recreational mathematics a normal magic square is an n nsquare matrix whose entries are distinctly the integers 1n 2 such that each row column and major and minor. The renowned mathematician ramanujan had immense contributions in the field of magic squares.

This magic squares characterized by various types of mathematical formulation for different ordered magic squares. These numbers are special because every row column and diagonal adds up to the same number. Magic squares are defined as matrices whose rows columns and main diagonals all add to the same number. Structure of magic and semi magic squares methods and tools for enumeration table of contents about the author whats new abstract main results the transformation method the permutation method the intermediate square method enumeration programs some references notations definitions conventions an example of enumeration programs magic squares of order 4 magic squares of order 5 magic squares of order 6 magic squares of order 7.

A regular magic square satises the condition that. A domino magic square is dened using a set of dominoes to form a magic square each domino supplying two numbers. This is the characteristic property of magic square. The common sum of a magic square is known as magic sum.

Magic squares are square grids with a special arrangement of numbers in them. A magic square is a square array of numbers where the rows columns diagonals and co diagonals add up to the same number. Abstract a magic square is an arrangement of numbers from 1 to n 2 in an n x n matrix. In a magic square each number occurs exactly once such that the sum of the entries of any row column or main diagonal is the same.

This magic squares formed by using three variables and different ordered. You can make several magic squares and investigate the different properties of the square. Abstract a magic square m is an n by n array of numbers whose rows columns and the two diagonals sum to u called the magic sum. If all the diagonals including broken diagonals sum to u then the magic square is said to be pandiagonal.

In a magic square all numbers in each row and each column give the same number when added. The magic square can have any size except 2x2. Thus total number of elements in a magic. Here is a 4 4 domino magic square with 8 dominoes and.