Algebraic Double-Digit and Cornered Magic Squares of Odd Orders from 5 to 19

This work brings double-digit or double-layer algebraic magic squares of odd orders from 5 to 19 for reduced entries. This study include three types of algebraic magic squares, i.e., cyclic-type, flat-type and corner-type. The cyclic-type and the flat-type are two different ways of writing double-digit bordered magic squares. In this work, we always use magic rectangles of width 2 except in the middle or corner, where there are magic squares of order 3 or 5. The idea of double-digit and cornered magic squares for sequential entries is already studied by the authors. For details refer the author’s work given in reference list . Combing the last three works of author, we have algebraic magic squares of even and odd orders from 4 to 20. It includes, double-digits, cornered and striped magic squares. For similar kind of work for different orders in different styles and designs, the readers also refer author's reference list.

This work is also available at the following link: Algebraic Double-Digit and Cornered Magic Squares of Odd Orders from 5 to 19