For the first time in this work, two new concepts in construction of magic square are considered. It is based on following two points:

Using small blocks of bordered magic rectangles.

Using algebraic formula (a+b)^{2}.

The whole work contains magic squares of even orders starting from order 6. This part is only for order 16. It is a revised version of the author’s previous work. For the complete work for the even orders from 6 to 20 see the links below.

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.

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.

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.

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.

Inder J. Taneja, Different Styles of Magic Squares of Order 20 Using Bordered Magic Rectangles, Zenodo, November 15, 2022, pp. 1-88, https://doi.org/10.5281/zenodo.7320877.

There is a total of 220 magic squares of order 16 given below. Also, a pdf is given at the end for download.