Beauty of Magic Squares: 3888-Multiple Order Bordered Magic Squares of Order 144 - Part 2

This paper presents a systematic construction of multiple order bordered magic squares at orders 12, 20, 30, 42, 56, 72, 108 and 144. for a full structural summary. Unlike classical block-wise bordered magic squares, which are built as multiples of a single block size, the structures explored here incorporate successive borders drawn from magic squares of different orders --- specifically orders 3 through 9 --- each contributing a distinct structural layer.To bring order 144, order 9 is used twice, and finally the order 18 is applied. The magic squares orders are considered as 3, 4, 5, 6, 7, 8, 18 and 18. In some cases, even-order borders consist of equal-sum, while odd-order borders consist of different-sum magic squares.  In some cases, the even orders are also considered with different magic sums. The combinatorial multiplicity of border types at each level yields a hierarchy of distinct configurations.