Cornered Magic Squares in Construction of Magic Squares of Orders 16, 20, 24 and 28

ByInder J. Taneja

Aug 23, 2023

Recently, author worked with double digits and cornered magic squares. See the link below:

1. Inder J. Taneja, Double Digits Even and Odd Orders Bordered Magic Squares.
Also see: New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108, pp. 1-30, August 09, 2023, Zenodo. https://doi.org/10.5281/zenodo.8230214

2. Inder J. Taneja, Cornered Magic Squares.
Also see: New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 81, pp. 1-27, August 09, 2023, Zenodo. https://doi.org/10.5281/zenodo.8231157.

In this work we shall consider four equal sum cornered magic squares to bring different types of magic squares of orders 16, 20, 24 and 28. are constructed with four equal sums cornered magic squares. As explained above these are of equal sums in pairs except in corners.

Let’s start with magic squares of order 16. In this case, we have considered four equal sums magic squares of order 8.

Magic Squares of order 16

The last two magic squares are made with magic rectangles of orders 8×10 and 6×8

Magic Squares of Order 20

The last three magic squares are made with magic embedding cornered magic squares of order 6 in double digits magic squares of order 10.

Magic Squares of Order 24

Below are three examples of magic squares made with embedded cornered magic squares of order 8 in magic squares of order 12.

Magic Squares of Order 28

Below are three examples of magic squares made with embedded cornered magic squares of order 10 in magic squares of order 14.

References

1. Inder J. Taneja, Double Digits Even and Odd Orders Bordered Magic Squares.
Also see: New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108, pp. 1-30, August 09, 2023, Zenodo. https://doi.org/10.5281/zenodo.8230214.
2. Inder J. Taneja, New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 81, pp. 1-27, August 09, 2023, Zenodo. https://doi.org/10.5281/zenodo.8231157.
3. Inder J. Taneja, Different Types of Magic Rectangles, Zenodo, September 04, 2023, pp. 1-26, https://doi.org/10.5281/zenodo.8316719.
4. Inder J. Taneja, Different Types of Magic Rectangles in Construction of Magic Squares of Orders 14 and 18, Zenodo, September 10, 2023, pp. 1-32, https://doi.org/10.5281/zenodo.8331709.
5. Inder J. Taneja, Different Types of Magic Rectangles in Construction of Magic Squares of Order 22, Zenodo, September 10, 2023, pp. 1-36, https://doi.org/10.5281/zenodo.8331743.
6. Inder J. Taneja, Different Types of Magic Rectangles in Construction of Magic Squares of Order 26, Zenodo, September 10, 2023, pp. 1-39, https://doi.org/10.5281/zenodo.8331750.
7. Inder J. Taneja, Different Types of Magic Rectangles in Construction of Magic Squares of Order 30, Zenodo, September 10, 2023, pp. 1-44, https://doi.org/10.5281/zenodo.8331755.
8. Inder J. Taneja, Different Types of Magic Rectangles in Construction of Magic Squares of Order 34, Zenodo, September 10, 2023, pp. 1-49, https://doi.org/10.5281/zenodo.8331759.
9. Inder J. Taneja, Cornered Magic Squares in Construction of Magic Squares of Orders 16, 20, 24 and 28, Zenodo, September 10, 2023, pp. 1-35, https://doi.org/10.5281/zenodo.8332156.