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magic square
Sign in to saveAlso known as diagonally magic square, normal magic square
sums of each row, column, and main diagonals are equal
A magic square is a grid of numbers where the sums of each row, column, and main diagonal all add up to the same total. While magic squares are primarily recreational puzzles that have fascinated mathematicians and puzzle enthusiasts for centuries, they also have applications in areas like combinatorics and recreational mathematics.
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- Albrecht Dürer - Melencolia I (detail).jpg
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- Magic squares
- Stack Exchange tag
- stackoverflow.com/tags/magic-square
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The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3, magic sum 15
In mathematics, especially historical and recreational mathematics, a magic square is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the same. The order of a magic square is the number of integers along one side (n), and the constant sum is called the magic constant or magic sum. If the array includes just the positive integers