Magic Square
In recreational mathematics, a magic square of order n is an arrangement of n2 numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant.[1] A normal magic square contains the integers from 1 to n2. The term "magic square" is also sometimes used to refer to any of various types of word square.
Normal magic squares exist for all orders n ≥ 1 except n = 2, although the case n = 1 is trivial, consisting of a single cell containing the number 1. The smallest nontrivial case, shown below, is of order 3.
See also
- Arithmetic sequence
- Freudenthal magic square
- Hexagonal tortoise problem
- Latin square
- Magic series
- Magic cube classes
- Most-perfect magic square
- Muhammad ibn Muhammad al-Fullani al-Kishnawi
- Nasik magic hypercube
- Prime reciprocal magic square
- Room square
- Square matrices
- Sudoku
- Unsolved problems in mathematics
- Vedic square
- John R. Hendricks