Most-perfect magic squares
A magic square is said to be most-perfect, if it contains the consecutive numbers 1, 2, …, n2 such that
- any four adjacent integers forming a 2x2-subsquare sum to
- any pair of integers distant n/2 along a diagonal sum to
T=n2 + 1
- it is a double-even magic square, i.e. of order n=4k.
All algorithms are described in detail in chapter Most-perfect Magic Squares (german: Supermagische Quadrate) together with some other PDF documents.
Detailed description of algorithms to create magic squares