Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6
Inder Jeet Taneja · Zenodo (CERN European Organization for Nuclear Research) · 2021
During past years author worked with block-wise, bordered and block-bordered magic squares. This work make connection between block-wise and bordered magic squares. We started with block-wise bordered magic squares of orders 108 and 102. Based on these two big magic inner order magic squares multiples of 6 are studied. By inner orders we understand that magic squares of orders 96, 90, 84, etc. Instead of working in decreasing order, we worked with increasing orders, such as, orders 6, 12, 18, etc. The construction of the block-wise bordered magic squares multiples of 6 is based on equal sum blocks of magic squares of order 6. It is done in two ways. One as normal magic squares of order 6 and another as bordered magic squares of order 6, where the inner magic square of order 4 is pandiagonal. The advantage in studying block-wise bordered magic squares is that when we remove external border, still we left with magic squares with sequential entries. This is the same property of bordered magic squares. The difference is that that instead of numbers here we have blocks of equal sum magic squares. This work is for multiples of order 6. For multiples of order 4 see author's recent work. The further multiples, such as multiples, 8, 10, 12, etc. shall be done in another works. This work brings examples only up to order 48. Higher orders examples can be seen in Excel file attached with the work. The total work is up to order 108.