Bordered and Block-Wise Bordered Magic Squares: Odd Order Multiples
Inder Jeet Taneja · Zenodo (CERN European Organization for Nuclear Research) · 2021
In the previous work we did block-wise bordered and block-wise block-bordered magic squares mutiples of even orders. The even order multiples considered are of orders 6, 8, 10, 12, 14, 16, 18 and 22. In this case, we have blocks or block-wised bordered magic squares of equal sums. There is only two cases where we don't have equal sums is of orders 3 and 5. In case of odd order multiples, still we don't have equal sum blocks. In this situation, this work is with different block sums of magic squares resulting in a final magic squares. For examples, multiple of order 5, lead us to block-wise bordered magic squares of order 15, 20, 25, etc. with different sub- block sums. The same is with the multiples of orders 5, 7, 9, 11, 13 and 15. Finally, we wrote block-wise bordered and block-wise block-bordered magic squares of orders 15, 20, 21, 25, 27, 28, 30, 33, 35, 36, 39, 40, 42, 44 and 45.