The idea of nested magic squares is well known in the literature, generally known by bordered magic squares. In this work, nested magic squares are studied in such a way that the magic sums are equal to the order of the magic square. The study include integer values. In some cases decimal entries with positive and negative entries are also used. The magic sums of sub-magic squares lead us to a general formula. The work is for the bordered magic squares of orders 3 to 25.
Bordered Magic Square of Order 20 with magic sum 20×20
For a day 20 of each month of 2020
The work can be download at the following link:
- Inder J. Taneja, Bordered Magic Squares With Order Square Magic Sums, Zenodo, January 20, 2020, pp. 1-26, http://doi.org/10.5281/zenodo.3613690
Below are examples considered in the work: