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 for the consecutive natural numbers for the orders 5 to 25. Properties like, sub-magic squares sums, total entries sums, borders entries sums, etc. are studies. Final results lead us to symmetric properties. The nested magic squares for the consecutive odd numbers entries refer author’s another work.
Below is link to dowload the complete work:
- Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, June 29, 2019, pp. 1-55, http://doi.org/10.5281/zenodo.3262170
Below is summary of results with examples of nested magic squares of orders 24 and 25: