Recently, author worked with cornered Magic Squares based on two-by-two divisions. These works can be accessed at the following links:

1. Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 10

2. Inder Jeet Taneja, Cornered Magic Squares of Orders 11 to 13

3. Inder Jeet Taneja, Cornered Magic Squares of Orders 14 to 24

Also, the author worked on **even order** **double digits bordered magic squares**. This works starts from order 8 and goes up to order 40. See below the links:

The work for order of type 4k, k=1, 2, 3, … i.e., for orders 8, 12, 16, 20, 24, 28, 32, 36 and 40:

1. Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24.

2. Two Digits Bordered Magic Squares of Orders 28 and 32.

3. Two digits Bordered Magic Squares of Order 36.

4. Two digits Bordered Magic Squares of Order 40.

The work is for the order of type 4k+2, k=1, 2, 3, …, i.e., for the orders 10, 14, 18, 22, 26, 30, 34 and 38:

1. Two digits Bordered Magic Squares of Orders 10, 14, 18 and 22.

2. Two digits Bordered Magic Squares of Orders 26 and 30.

3. Two digits Bordered Magic Squares of Order 34.

4. Two digits Bordered Magic Squares of Order 38.

This work is for magic square of order 21. It includes four type of magic squares:

1. **Traditional centered magic squares.**

2. **Bordered magic squares with magic squares of order 3**.

3. **Double digits bordered magic squares.**

4. **Cornered magic squares.**

Double digits and cornered magic squares can also be constructed using software, the reader can follow H. White’s site: Magic Squares. Also, the cornered magic squares can be rotated in all the four directions again by using software from H. White’s site.

For the previous work on odd orders from 3 to 19 see the following links:

1. Inder J. Taneja, Odd Order Magic Squares: Orders 3 to 15.

2. Inder J. Taneja, Odd Order Magic Squares: Orders 17 and 19.

To have better idea, **pdf file** of total 218 magic squares of order 21 is also attached for download.

### Magic Squares of Order 21

As explained above, the construction of magic squares of order 21 are of four types. Below are examples of each case.

### 1. Traditional Centered Magic Squares

### 2. Bordered Magic Squares with Magic Squares of Order 3

Above there are only three examples. More examples are in **pdf file **attached at the end of this work. These are from number 44 to 108.

### 3. Double Digits Bordered Magic Squares

Above there are only three examples. More examples are in **pdf file **attached at the end of this work. These are from number 6 to 43.

### 4. Cornered Magic Squares

Above there are only four examples. More examples are in **pdf file **attached at the end of this work. These are from number 109 to 218.