Block-Wise Bordered Magic Squares Multiples of 14
Inder Jeet Taneja · Zenodo (CERN European Organization for Nuclear Research) · 2022
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 140 and 126. Based on these two big magic squares, the inner order magic squares multiples of 14 are studied. By inner orders we understand as the magic squares of orders 112, 98, 84, etc. Instead of working in decreasing order, we worked with increasing orders, such as, orders 14, 28, 42, etc. The construction of the block-wise bordered magic squares multiples of 14 is based on equal sum blocks of magic squares of order 14. It is done in six different ways. First way is a general magic square of order 14. The second way is bordered magic squares of order 14. The next three ways are block-bordered magic squares of order 14 with blocks of orders 3, 4 and 6 forming magic square of order 12. The last way is the block-bordered magic squares of order 14 with with equal sums bordered magic squares of order 6. Similar kind of work for the multiples of orders 4, 6, 8, 10 and 12 is already done by the author (multiples-4, multiples-6, multiples-8, multiples-10, multiples-12). This work brings examples for orders 14, 28, 42 and 56. The complete list of magic squares from order 14 to order 140 are given in Excel file attached with the work. This file brings examples in all the six ways.