Concentric Magic Squares have nested centered sub-squares that are all, (not normal), magic. The innermost nested sub-square of odd order concentric magic squares is the order 1 square. The innermost nested sub-square of even order concentric magic squares is an order 4 square.
The order 1 square is not concentric because it does not have a sub-square.
Order 4 squares are not concentric because the center 2x2 is not magic.
A special kind of concentric magic squares is known as Bordered Magic Squares. For even order, there are also Bordering Magic Squares.
Order5Special makes all the order 5 concentric squares.
Order6CSample makes a sample of the order 6 concentric squares. Order6C makes the 4x4 center squares and border groups for all the squares.