A magic square is a mathematical puzzle that can be solved using a magic square calculator. It is an arrangement of numbers in a square such that the sum of each row, column, and diagonal is one constant number, known as the “magic constant”. To create a magic square, one must select the order (number of cells in a row or column) and dimension (e.g. 2 for two-dimensional square, 3 for three-dimensional cube).
To calculate the magic constant, add all nine numbers used in the magic square and divide by the number of rows. For example, to find the magic constant for a normal magic square, use the formula (S=n((n^+1)/2)). For a magic square of order 3, substitute n = 3 into the formula (S=n(n2 + 1)/2).
To solve a magic square of order 3, start with 1 in the top middle box and place the next number up one box and to the right one box. The magic constant for this example is 15, as 45 / 3 = 15.
To solve a magic square of order 3, substitute n = 3 into the formula (S=n(n^+1)/2). To make the first row work, the number in the upper right-hand corner must be 12. To compute the northeast-southwest diagonal, follow these steps:
- Choose the size of the magic square, say the magic word.
- Use the magic square formula to solve a 3 x 3 magic square.
- Review examples that demonstrate how to create a magic square of order 3, such as a 3×3 magic square.
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