This work brings striped magic squares of orders 4, 6, 8 and 10, where we have used only magic rectangles multiples of order 2, such as 2×4, 2×6, 2×8, etc. This mean that the width is always same.
This work is unique and is done for the first time in the history of magic squares. See below examples of orders 4, 6, 8 and 10. For further orders see the reference list given at the end of this work. A pdf file of striped magic squares of order 10 is also given.
Striped Magic Square of Order 4
Rotational Striped Magic Square of order 4
In this case we have only one possibility, i.e., of its transpose to 90 degrees.
Striped Magic Squares of Order 6
Rotational Striped Magic Square of order 6
These two examples give us possibilities of rotational examples. See below in each case:
Example 1.
In this case, we have only four possibilities.
Example 2.
Combining all the possibilities, we get total 12 different ways of writing striped magic squares of order 6.
Strapped Magic Squares of Order 8
Rotational Striped Magic Square of order 8
In case of examples 4, 5 and 6, we have only one more possibility in each case, i.e., of its transpose. For the examples 7, 8 and 9, we have many possibilities. Number 7 and 8 are with four possibilities, while example 9 is with 8 possibilities. See below:
Example 7.
This example gives four possibilities
Example 8.
This example gives four possibilities
Example 9.
This example gives eight possibilities
Combining all the possibilities, we get total 22 different ways of writing striped magic squares of order 8.
Striped Magic Squares of Order 10
Below are few examples striped magic squares of order 10. The complete list of 115 magic squares of order 10 is given at the end of this page. Some rotational examples are also given
In this case we have around 115 possibilities of writing striped magic squares of order 10 is given at the end.
Rotational Striped Magic Square of order 10
In this case, we have many examples of magic squares of order 10 those have rotational properties. See below:
1. Example 25.
2. Example 29.
3. Example 33.
4. Example 37.
5. Example 41.
6. Example 45.
8. Example 49.
8. Example 53.
9. Example 55.
10. Example 57.
11. Example 58.
12. Example 64.
13. Example 100.
14. Example 104.
15. Example 108.
Pdf file of Striped Magic Squares of Order 10
Below are 150 striped magic squares of order 10. Some examples of rotational possibilities are considered here.
References
- Inder J. Taneja, Striped Magic Squares of Even Orders 4, 6, 8 and 10, Zenodo, April 17, 2025, pp. 1-34, https://doi.org/10.5281/zenodo.15228903.
- 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)
- Inder J. Taneja, 5600+ Striped Magic Squares of Order 16, Zenodo, February 05, 2025, pp. 1-52, https://doi.org/10.5281/zenodo.14807639
- 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).
- 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).
- 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.
- Inder J. Taneja, Striped and Semi-Striped Cornered Magic Squares of Orders 6 to 50,