# Different Types of Magic Squares of Orders 6, 8 and 10

#### ByInder J. Taneja

Sep 18, 2022

Revised in October 30, 2023

This work brings magic squares of orders 6, 8 and 10. It unifies most of the works done before. Different types of constructions are considered. These includes, bordered, magic rectangles, double digits bordered, cornered, striped type, etc. It is summarized as the following points:

1. Boarded magic squares.
2. Bordered magic rectangles.
3. Algebraic formula (a+b)2.
4. Double digits bordered magic squares.
5. Cornered magic squares.
6. Striped Magic Squares.

Just as an idea below are links of the works magic squares using the special aspects as double digits, corner, striped etc.

The whole work contains magic squares of even orders starting from order 6. This part is only for orders 6, 8 and 10. It is a revised version of the author’s previous work. Below are examples of magic squares of orders 6, 8 and 10. In case of order 6, there are total 9 examples. In case of order 8, there are total 41 examples. In case of order 10 there are total 202 examples. The examples of order are also given as pdf file for download. These are written in three parts:

• Part 1: Magic Squares of Order 6 (9).
• Part 2: Magic Squares of Order 8 (41).
• Part 3: Magic Squares of Order 10 (202).

The work can also be seen online at the followin link:
Inder J. Taneja, Different Types of Magic Squares of Orders 6, 8, 10 and 12, Zenodo, November 07, 2023, pp. 1-41, https://doi.org/10.5281/zenodo.10080859.

## Part 1: Magic Squares of Order 6

Below are 9 magic squares of order 6.

## Part 2: Magic Squares of Order 8

Below are 36 magic squares of order 8. These includes bordered, double digits bordered, cornered, striped, etc. The complete list of 41 magic squares of order 8 is given as pdf file.

## Part 3: Magic Squares of Order 10

Below are 27 examples magic squares of order 10. There are total 202 given as pdf file. These includes bordered, double digits bordered, cornered, striped, etc. At the end there is a pdf file for download

## Pdf File of Magic Squares of Order 10

Below is a list of previous works. These shall be revised including all the new types of constructions of magic squares.

1. Inder J. Taneja, Different Styles of Magic Squares of Orders 6, 8, 10 and 12 Using Bordered Magic Rectangles, Zenodo, November 14, 2022, pp. 1-26, https://doi.org/10.5281/zenodo.7319985.
2. Inder J. Taneja, Different Styles of Magic Squares of Order 14 Using Bordered Magic Rectangles, Zenodo, November 14, 2022, pp. 1-40, https://doi.org/10.5281/zenodo.7319787.
3. Inder J. Taneja, Different Styles of Magic Squares of Order 16 Using Bordered Magic Rectangles, Zenodo, November 14, 2022, pp. 1-63, https://doi.org/10.5281/zenodo.7320116.
4. Inder J. Taneja, Different Styles of Magic Squares of Order 18 Using Bordered Magic Rectangles, Zenodo, November 14, 2022, pp. 1-85, https://doi.org/10.5281/zenodo.7320131.
5. Inder J. Taneja, Different Styles of Magic Squares of Order 20 Using Bordered Magic Rectangles, Zenodo, November 14, 2022, pp. 1-88, https://doi.org/10.5281/zenodo.7320877.