Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Orders 24, 48 and 72

During past years author worked with block-wise bordered magic squares multiples of even and odd number blocks. This means, multiples of 3, 4, 5, 6, etc. This work is little different. It is based on striped magic squares. By striped magic squares we understand that magic squares constructed based on magic rectanagle of equal width (width 2). The lengths depends on the necessity of each magic squares. See below fews works done during past years.

1. Inder J. Taneja, Striped Magic Squares of Even Orders 4, 6, 8 and 10, Zenodo, November 10, 2023, pp. 1-34, https://doi.org/10.5281/zenodo.15228903.
2. Inder J. Taneja, Striped Magic Squares of 12 – Revised, Zenodo, September 07, 2024, pp. 1-30, https://zenodo.org/records/13725031.
   • Site Link: Striped Magic Squares of Order 12 – Revised (new site)
3. Inder J. Taneja, 5600+ Striped Magic Squares of Order 16, Zenodo, February 05, 2025, pp. 1-52, https://doi.org/10.5281/zenodo.14807639
   • Site Link: 5600+ Striped Magic Squares of Order 16 (new site)
4. Inder J. Taneja, Striped Magic Squares of 18, Zenodo, June 13, 2024, pp. 1-34, https://doi.org/10.5281/zenodo.11629567.
   • Site Link: Striped Magic Squares of Order 18 (new site).
5. Inder J. Taneja, 8000+ Striped Magic Squares of 20, Zenodo, March 15, 2025, pp. 1-37, https://doi.org/10.5281/zenodo.15032524
   • Site Link: Striped Magic Squares of Order 20 (new site).
6. Inder J. Taneja, Striped and Semi-Striped Double Digits Bordered Magic Squares: Orders 7 to 50, Zenodo, March 13, 2025, pp. 1-30, https://doi.org/10.5281/zenodo.15021581.

This is directly connected to multipled bordered striped magic squares. In case of odd order magic squares we are unable to bring striped magic squares. We shall consider only even-order striped magic squares. In this case, we shall consider initially 5 different types of striped magic squares of order 12. Then we shall border is with two different types of magic squares resulting in 10 magic squares of order 24. Let’s see first these details. Below are first five magic square of order 12.

Let’s consider now the two striped magic squares of order 6.

10 Striped Magic Square of Order 24

Based on above combinations of magic squares order 8 with border as magic squares order 6, below are 10 striped magic squares of order 24.

60 Striped Magic Square of Order 48

Let’s consider following 6 striped magic squares of order 12.

Above there are 10 striped magic squares of order 24 and 6 striped magic squares of order 12. Making a border of order 12 over 24, we get 60 striped magic square of order 48. See below in figures few examples. The complete list is available in excel sheet.

In Figures or Designs

1^st Type

2^nd Type

3^rd Type

4^th Type

5^th Type

6^th Type

• There are total 60 striped magic squares of order 48. Excel file of complete work is given in Zenodo work whose link is given above as well as below.

480 Striped Magic Square of Order 72

In order to bring striped magic squares of order 72, let’s consider following 8 magic squares of order 12.

Above there are 8 striped magic squares of order 12 and 60 striped magic squares of order 48. Making a border of order 12 over 48, we get 480 striped magic square of order 720. See below in figures few examples. The complete list is available in excel sheet.

In Figures or Designs

1^st Type

2^nd Type

3^rd Type

4^th Type

5^th Type

6^th Type

7^th Type

8^th Type

• There are total 480 striped magic squares of order 48. Excel file of complete work is given in Zenodo work whose link is given above as well as below.

General Bordered Magic Squares

Even Orders Magic Squares

1. Inder J. Taneja, Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4, Zenodo, August 31, 2021, pp. 1-148, https://doi.org/10.5281/zenodo.5347897.
   Web-site Link: Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 4.
2. Inder J. Taneja, Bordered Magic Squares Multiples of 6, Zenodo, July 25, 2023, pp. 1-32, https://doi.org/10.5281/zenodo.8184983.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of Magic and Bordered Magic Squares of Order 6.
3. Inder J. Taneja, Bordered and Pandiagonal Magic Squares Multiples of 8, Zenodo, July 26, 2023, pp. 1-58, https://doi.org/10.5281/zenodo.8187791.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 8.
4. Inder J. Taneja, Bordered Magic Squares Multiples of 10, Zenodo, July 26, pp. 1-40, https://doi.org/10.5281/zenodo.8187888.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 10.
5. Inder J. Taneja, Bordered and Pandiagonal Magic Squares Multiples of 12, Zenodo, July 27, 2023, pp. 1-31, https://doi.org/10.5281/zenodo.8188293.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 12.
6. Inder J. Taneja, Bordered Magic Squares Multiples of 14, Zenodo, July 27, pp. 1-33, https://doi.org/10.5281/zenodo.8188395.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 14.
7. Inder J. Taneja, Bordered and Pandiagonal Magic Squares Multiples of 16, Zenodo, July 27, pp. 1-30, https://doi.org/10.5281/zenodo.8190884.
   Web-site Link: Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 16.
8. Inder J. Taneja, Bordered Magic Squares Multiples of 18, Zenodo, July 28, pp. 1-31, https://doi.org/10.5281/zenodo.8191223.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 18.
9. Inder J. Taneja, Bordered and Pandiagonal Magic Squares Multiples of 20, Zenodo, July 28, pp. 1-45, https://doi.org/10.5281/zenodo.8191426.
   Web-site Link: Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 20.

Odd Orders Magic Squares

1. Inder J. Taneja, Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3, Zenodo, May 5, pp. 1-29, 2023, https://doi.org/10.5281/zenodo.7898383.
   Web-Site Link: Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 3.
2. Inder J. Taneja, Bordered and Pandiagonal Magic Squares Multiples of 5, Zenodo, July 23, 2023, pp. 1-36, https://doi.org/10.5281/zenodo.8175759.
   Web-site Link: Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 5.
3. Inder J. Taneja, Bordered and Pandiagonal Magic Squares Multiples of 7, Zenodo, July 23, pp. 1-34, 2023, https://doi.org/10.5281/zenodo.8176061.
   Web-site Link: Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 7.
4. Inder J. Taneja, Bordered Magic Squares Multiples of 9, Zenodo, July 23, 2023, pp. 1-28, https://doi.org/10.5281/zenodo.8176357.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 9.
5. Inder J. Taneja, Bordered Magic Squares Multiples of 11, Zenodo, July 24, pp. 1-34, 2023, https://doi.org/10.5281/zenodo.8176475.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 11.
6. Inder J. Taneja, Bordered Magic Squares Multiples of 13, Zenodo, July 24, pp. 1-32, 2023, https://doi.org/10.5281/zenodo.8178879.
   Web-site Link: Bordered Magic Squares Multiples of 13.
7. Inder J. Taneja, Bordered Magic Squares Multiples of 15, Zenodo, July 24, pp. 1-35, 2023, https://doi.org/10.5281/zenodo.8178935.
   Web-site Link: Block-Wise Bordered Magic Squares Multiples of 15.
8. Inder J. Taneja, Bordered Magic Squares Multiples of 17, Zenodo, July 25, pp. 1-26, 2023, https://doi.org/10.5281/zenodo.8180706.
   Web-site Link: Bordered Magic Squares Multiples of 17.
9. Inder J. Taneja, Bordered Magic Squares Multiples of 19, Zenodo, July 25, pp. 1-31, 2023, https://doi.org/10.5281/zenodo.8180919.
   Web-site Link: Bordered Magic Squares Multiples of 19.

Multiple Order Bordered Magic Squares

1. Inder J. Taneja, Beauty of Magic Squares: 540-Multiple Order Bordered Magic Squares of Orders 20, 30, 42, 56 and 72, Zenodo, April 14, 2026, pp. 1-75, https://doi.org/10.5281/zenodo.19573409.
   • Web-site Link: Beauty of Magic Squares: Multiple Order Bordered Magic Squares of Orders 20, 30, 42, 56 and 72.
2. Inder J. Taneja, Beauty of Magic Squares: 3240-Multiple Orders Bordered Magic Squares of Order 90, Zenodo, April 14, 2026, pp. 1-50, https://doi.org/10.5281/zenodo.19571319.
   • Web-site Link: Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 90.
3. Inder J. Taneja, Beauty of Magic Squares: 7128 Multiple Order Bordered Magic Squares of Order 108
   • Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 108 – Part 1, Zenodo, April 14, 2026, pp. 1-48, https://doi.org/10.5281/zenodo.19571287.
     • Web-site Link: Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 108 – Part 1
   • Beauty of Magic Squares: 3240-Multiple Orders Bordered Magic Squares of Order 108 – Part 2, Zenodo, April 14, 2026, pp. 1-52, https://doi.org/110.5281/zenodo.19571709
     • Web-site Link: Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 108-Part 2
4. Inder J. Taneja, Beauty of Magic Squares: 3888 Multiple Orders Bordered Magic Squares of Order 110, Zenodo, April 14, 2026, pp. 1-48, https://doi.org/10.5281/zenodo.19571838
   • Web-site Link: Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 110.
5. Inder J. Taneja, Beauty of Magic Squares: 3240 Multiple Orders Bordered Magic Squares of Orders 120, Zenodo, April 14, 2026, pp. 1-54, https://doi.org/10.5281/zenodo.19571923.
   • Web-site Link: Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 120.
6. Inder J. Taneja, Beauty of Magic Squares: 14256 Multiple Order Bordered Magic Squares of Order 132:
   • Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 132 – Part 1, Zenodo, April 14, 2026, pp. 1-53, https://doi.org/10.5281/zenodo.19572065.
     • Web-site Link: Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 132- Part 1
   • Beauty of Magic Squares: 3888-Multiple Orders Bordered Magic Squares of Order 132 – Part 2, Zenodo, April 14, 2026, pp. 1-49, https://doi.org/10.5281/zenodo.19572160.
     • Web-site Link: Beauty of Magic Squares: 3888 Multiple Order Bordered Magic Squares of Order 132-Part 2
   • Beauty of Magic Squares: Multiple Orders Bordered Magic Squares of Order 132 – Part 3, Zenodo, April 14, 2026, pp. 1-55, https://doi.org/110.5281/zenodo.19572664
     • Web-site Link: Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 132-Part 3
   • Beauty of Magic Squares: Multiple Orders Bordered Magic Squares of Order 132 – Part 4, Zenodo, April 20, 2026, pp. 1-43, https://doi.org/10.5281/zenodo.19572938.
     • Web-site Link: Beauty of Magic Squares: 3240 Multiple Order Bordered Magic Squares of Order 132 – Part 4

Striped Magic Squares

1. Inder J. Taneja, Striped Magic Squares of Even Orders 4, 6, 8 and 10, Zenodo, November 10, 2023, pp. 1-34, https://doi.org/10.5281/zenodo.15228903.
2. Inder J. Taneja, Striped Magic Squares of 12 – Revised, Zenodo, September 07, 2024, pp. 1-30, https://zenodo.org/records/13725031.
   • Site Link: Striped Magic Squares of Order 12 – Revised (new site)
3. Inder J. Taneja, 5600+ Striped Magic Squares of Order 16, Zenodo, February 05, 2025, pp. 1-52, https://doi.org/10.5281/zenodo.14807639
   • Site Link: 5600+ Striped Magic Squares of Order 16 (new site)
4. Inder J. Taneja, Striped Magic Squares of 18, Zenodo, June 13, 2024, pp. 1-34, https://doi.org/10.5281/zenodo.11629567.
   • Site Link: Striped Magic Squares of Order 18 (new site).
5. Inder J. Taneja, 8000+ Striped Magic Squares of 20, Zenodo, March 15, 2025, pp. 1-37, https://doi.org/10.5281/zenodo.15032524
   • Site Link: Striped Magic Squares of Order 20 (new site).
6. Inder J. Taneja, Striped and Semi-Striped Double Digits Bordered Magic Squares: Orders 7 to 50, Zenodo, March 13, 2025, pp. 1-30, https://doi.org/10.5281/zenodo.15021581.

Multiple Order Bordered Striped Magic Squares

1. Inder J. Taneja, Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Orders 24, 40, 60 and 84, Zenodo, May 20, 2026, pp. 1-
   • Web-site Link: Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Orders 24, 40, 60 and 84
2. Inder J. Taneja, Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Orders 24, 48 and 72, Zenodo, May 20, 2026, pp. 1-
   • Web-site Link: Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Orders 24, 48 and 72
3. Inder J. Taneja, Beauty of Magic Squares: 6720-Multiple Order Bordered Striped Magic Squares of Order 108.
   • Beauty of Magic Squares: 1920-Multiple Order Bordered Striped Magic Squares of Order 108-Part 1, Zenodo, May 20, 2026, pp. 1-
     • Web-site Link: 1920-Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Orders 108 – Part 1
   • Beauty of Magic Squares: 4800-Multiple Order Bordered Striped Magic Squares of Order 108-Part 2, Zenodo, May 20, 2026, pp. 1-
     • Web-site Link:
4. Inder J. Taneja, Beauty of Magic Squares: Multiple Order Bordered Striped Magic Squares of Order 144, Zenodo, May 20, 2026, pp. 1-
   • Web-site Link: