Striped Magic Squares of Order 12 – Revised

This work brings striped magic squares of order 20. Before we proceed further below examples of 5 types of stripes used in whole the work.

Striped Magic Rectangles

Below are examples of magic rectangles used in this work. These are orders 2×4 to 2×12 used in this work. Since all these are of equal width, we call them stripes.

Whole the work on striped magic squares of order 12 are always among above 5 types of magic rectangles, where the width is always the same. The change is only in length. According to the order of the stripes the entries are different but the sums are always same.

Below are few examples of striped magic squares of order 12. Due to high quantity of magic squares these are divided in few parts given as follows:

• Part 1: General, Cornered and Double Digits Striped Magic Squares of Order 12.
• Part 2: General Type Striped Magic Squares of Order 12.
• Part 3: Striped Magic Squares of Order 12 Divided in Two Parts.
• Part 4: Magic Squares of Order 8 in the Middle of Uppert Part of Striped Magic Square of Order 12.
• Part 5: Centered With Striped Magic Square of Order 4.
• Part 6: Centered With Striped Magic Square of Order 7.
• Part 7: (a + b)²-Type Striped Magic Squares: a=8, b=4, ab=8×4 and ba =4×8.

It is revised version of author’s previous work. The previous work was only with 72 different types of striped magic squares of order 12, while this work brings 220 different ways of writing striped magic squares of order 12. For the online work please refer the following link:

• Inder J. Taneja, Striped Magic Squares of 12, Zenodo, August 24, 2024, pp. 1-37,

Striped Magic Squares of Order 12

The total work contains 9 parts divided in separate categories. Total there are 220 striped magic squares of order 12.

Part 1: General, Cornered and Double Digits Striped Magic Squares of Order 12

This part is with striped magic squares of order 12. This part brings some magic squares of order 12 made in a general way. Some them include striped cornered, striped double digits bordered, etc. Below are few examples:

Part 2: General Type Striped Magic Squares of Order 12

This part brings some general type striped magic squares of order 12 little different from the Part 1. Below are few examples:

Part 3: Striped Magic Squares of Order 12 Divided in Two Parts

This part brings some striped magic squares of order 12 made in a such a way that there are two magic rectangles of order 6×12 resulting in striped magic squares of order 12. Below are few examples:

Part 4: Magic Squares of Order 8 in the Middle of Uppert Part of Striped Magic Square of Order 12

This part brings some striped magic squares of order 12 in a such a way that magic square of order 8 is in the middle of upper part resulting in striped magic squares of order 12. Below are few examples:

Part 5: Centered With Striped Magic Square of Order 4

In this case we only few examples of striped magic squares of order 12. See below two examples:

Examples 3 and 4 given in Part 1 also works as examples of this section.

Part 5: Centered With Striped Magic Square of Order 8

Part 6: (a+b)²-Type Striped Magic Squares:
a=8, b=4, ab=8×4 and ba=4×8

This part brings some striped magic squares of order 12. These are made by using the algebraic formula (a+b)², where a=8, b=4, ab=8×4 and ba=4×8. See below few examples.

Pdf file of Complete Work for Download

Below is a PDF file of complete work of striped magic squares of order 12. There are total 220 magic squares.

References

1. Inder J. Taneja, Striped Magic Squares of Even Orders 6, 8, 10, 12 and 14, Zenodo, November 10, 2023, pp. 1-34, https://doi.org/10.5281/zenodo.10107355.
   • Site Link: Striped Magic Squares of Orders 4, 6, 8, 10, 12 and 14.
2. Inder J. Taneja, Striped Magic Squares of 12 – Revised, Zenodo, September 07, 2024, pp. 1-30,  https://doi.org/10.5281/zenodo.13725031.
   • Site Link: Striped Magic Squares of Order 12 – Revised
3. Inder J. Taneja, Striped Magic Squares of 16 – Revised, Zenodo, September 07, 2024, pp. 1-39,  https://doi.org/10.5281/zenodo.13720366
   • Site Link: Striped Magic Squares of Order 16 – Revised
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.
5. Inder J. Taneja, Striped Magic Squares of 20, Zenodo,
   • Site Link: Striped Magic Squares of Order 20.

Observation: This work is revises the previous work given in reference 1 on striped magic squares of order 12. The previous work is with 72 magic squares, while this work brings 220 striped magic squares of order 12.