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 144 and 128. Based on these two big magic squares, the inner order magic squares multiples of 16 are studied. By inner orders we understand that magic squares of orders 112, 96, 80, etc. The construction of the block-wise bordered magic squares multiples of 16 is based on equal sum blocks of magic squares of order 16. We have taken 25 different types of magic squares of order 16. The advantage in studying block-wise bordered magic squares is that when we remove external border, still we are left with magic squares with sequential entries. It is the same property of bordered magic squares with single digits numbers. The difference is that instead of numbers here we have blocks of equal sum magic squares of order 16. For multiples of orders 4, 6, 8, 10, 12 and 14 see the links below:
1. Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4.
2. Block-Wise Bordered Magic Squares Multiples of Magic Squares of Order 6.
3. Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 8 – Revised
4. Block-Wise Bordered Magic Squares Multiples of 10 – Revised.
5. Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 12 – Revised.
6. Block-Wise Bordered Magic Squares Multiples of 14 – Revised .

This work is up to order 144. Examples below are only up to order 48. The higher order examples can be seen in Excel file attached at the end of this work.

Magic Squares of Order 16

Below are only three examples of magic squares of order 16. It includes bordered, double digits, cornered magic squares, etc. Total 25 examples are considered in this work. The other examples are either in excel file and pdf file.