# Cornered Magic Squares of Orders 5 to 10

#### ByInder J. Taneja

May 30, 2023

Below are just examples of cornered magic squares of orders 5 to 10. These are in all the four corners of each magic square. This work was possible with the help of Harry White (Magic Squares – budshaw.ca).

This work can be accessed at the following link:
Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 13, Zenodo, June 03, 2023, pp. 1-71, https://10.5281/zenodo.8000467.

### Cornered Magic Squares of Order 5

Below are examples of cornered magic squares of order 5 cornered in four directions a magic square of order 3:

### Cornered Magic Squares of Order 6

Below are examples of cornered magic squares of order 6 cornered in four directions a pandiagonal magic square of order 4:

These magic squares are studied before by author. For more details see the following link:
1. Inder Jeet Taneja, Cornered Magic Squares of Order 6
2. Inder J. Taneja, Cornered Magic Squares of Order 6, Zenodo, May 23, 2023, pp. 1-23, https://doi.org/10.5281/zenodo.7960679.

### Cornered Magic Squares of Order 7

Below are examples of cornered magic squares of order 7.

Above there are three examples of cornered magic squares of order 7. First example is embedded with cornered magic squares of orders, 3 and 5. We may call it as chained or nested magic squares. The second and third examples are with magic squares of order 5. One of them is pandiagonal and another as bordered magic square of order 5.

### Cornered Magic Squares of Order 8

Below are few examples of cornered magic squares of order 8. These are of different types:

About there are four examples of cornered magic squares of order 8. First example is chained with magic squares of order 6 as given before. The other three examples are just with three different types of magic squares of order 6. Sometimes we may call the first example as chained or nested magic squares.

### Cornered Magic Square of Order 9

Below are few examples of cornered magic squares of order 9:

Above there are five examples of cornered magic squares of order 9. First example is embedded with cornered magic squares of orders 3, 5 and 7. We may call it as chained or nested magic squares. The second and third examples are with magic squares of order 7. One of them is pandiagonal and another as bordered magic squares of order 7. The last two examples are with two different types of pandiagonal magic squares of order 5. One of them is pandiagonal and another as bordered magic squares of order 5.

### Cornered Magic Square of Order 10

Below are few examples of cornered magic squares of order 10:

Above there are twelve examples of cornered magic squares of order 10. First example is embedded with cornered magic squares of orders, 4, 6 and 10. We may call it as chained or nested magic squares. The seven examples are with different types of magic squares of order 8. The last four are of different type. Here we have bordered magic rectangles of orders 4×10 and 4×6. It is embedded with four different types of magic squares of order 6.

Extension to further orders is in another page. Follow the link below: