In the previous work we did **block-wise bordered** and **block-wise block-bordered** magic squares mutiples of even orders. See the link below:

- Inder J. Taneja, Bordered and Block-Wise Bordered Magic Squares: Even Order Multiples, https://inderjtaneja.com/2021/02/12/bordered-and-block-wise-bordered-magic-squares-even-order-multiples/

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-wise bordered** magic squares of **equal sums**. There is only two cases where we don’t have equal sums, i.e., of orders 3 and 5.

In case of odd order multiples, still, we don’t have equal sums blocks. In this situation, this work is with **unequal** **sub-block sums** of magic squares. For examples, multiple of order 5, lead us to **block-wise bordered** magic squares of order 15, 20, 25, etc. with **unequal sub-block sums**. The same is with the multiples of orders 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. Below is a link for download of complete work:

- Inder J. Taneja, Bordered and Block-Wise Bordered Magic Squares: Odd Order Multiples.
**Zenodo**. February 10, 2021, pp. 1-75, http://doi.org/10.5281/zenodo.4527739

Below are examples of magic squares studied in this work. In all the cases blocks considered are of unequal sums:

## Examples:

## Block-Wise Bordered Magic Square of Order 15

## Block-Wise Bordered Magic Squares of Order 20

## Bordered and Block-Wise Bordered Magic Squares of Order 21

## Block-Wise Bordered Magic Squares of Order 25

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 27

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 28

## Block-Wise Bordered Magic Square of Order 30

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 33

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 35

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 36

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 39

## Block-Bordered and Block-Wise Bordered Magic Square of Order 40

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 42

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 44

## Block-Bordered and Block-Wise Bordered Magic Squares of Order 45

Categories: Magic Squares