Magic square - The Lo Shu Square 3x3 magic square. Chinese literature dating from as early as 2800 BC tells the legend of Lo Shu or "scroll of the river Lo". In ancient China, there was a huge flood. The people tried to offer some sacrifice to the river god of one of the flooding rivers, the Lo river, to calm his anger. Then, there emerged from the water a turtle with a curious figure/pattern on its shell; there were circular dots of numbers that were arranged in a three by three nine-grid pattern such that the s ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Brief history of magic squares

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Related problems

There are many ways to construct magic squares, but the standard (and most simple) way is to follow certain configurations / formulas which generate regular patterns. Magic squares exist for all values of n, with only one exception - it is impossible to construct a magic square of order 2. Magic squares can be classified into three types: odd, doubly even (n divisible by four) and singly even (n even, but not divisible by four). Odd and doubly even magic squares are easy to generate; the construction of singly even magic ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Types of magic squares and their construction

Magic square - Extra constraints. Certain extra restrictions can be imposed on magical squares. If not only the main diagonals but also the broken diagonals sum to the magic constant, the result is a panmagic square. If raising each number to certain powers yields another magic square, the result is a bimagic, a trimagic, or, in general, a multimagic square. ...

See also:

Magic square, Magic square - Brief history of magic squares, Magic square - The Lo Shu Square 3x3 magic square, Magic square - The early squares of order four 4x4 magic squares, Magic square - Cultural significance of magic squares, Magic square - Albrecht Dürer's magic square, Magic square - The Sagrada Família magic square, Magic square - Types of magic squares and their construction, Magic square - A method for constructing a magic square of odd order, Magic square - A method of constructing a magic square of doubly even order, Magic square - Counting magic squares, Magic square - Generalizations, Magic square - Extra constraints, Magic square - Different constraints, Magic square - Other operations, Magic square - Other magic shapes, Magic square - Combined extensions, Magic square - Related problems, Magic square - Magic Square of Primes, Magic square - n-Queens problem

Read more here: » Magic square: Encyclopedia II - Magic square - Generalizations