For the first time we are introducing the idea of magic squares by figures. This work brings magic squares of order 42. In some cases, the **idea of construction is explained**. It is based on external borders made by **magic squares** or **bordered magic rectangles**. Then inner blocks are previously known magic squares of smaller orders. Up to order 20 the results can be seen here. Below is a list of work of even order magic squares from orders 6 to 40. The readers can download from the links.

### Block 1: Even Order Magic Squares from 6 to 30

**Inder J. Taneja**, Figured Magic Squares of Orders 6, 10, 12, 14 and 16 Using Bordered Magic Rectangles,**Zenodo**, November 29, 2022, pp. 1-31, https://doi.org/10.5281/zenodo.7377674.**Inder J. Taneja**, Figured Magic Squares of Orders 18 and 20 Using Bordered Magic Rectangles,**Zenodo**, November 29, 2022, pp. 1-87, https://doi.org/10.5281/zenodo.7377689.**Inder J. Taneja**, Figured Magic Squares of Order 22 Using Bordered Magic Rectangles,**Zenodo**, November 29, 2022, pp. 1-61, https://doi.org/10.5281/zenodo.7377706.**Inder J. Taneja**, Figured Magic Squares of Order 24 Using Bordered Magic Rectangles,**Zenodo**, November 29, 2022, pp. 1-104, https://doi.org/10.5281/zenodo.7377779.**Inder J. Taneja**, Figured Magic Squares of Order 26 Using Bordered Magic Rectangles,**Zenodo**, November 29, 2022, pp. 1-88, https://doi.org/10.5281/zenodo.7377794.**Inder J. Taneja**, Figured Magic Squares of Order 28 Using Bordered Magic Rectangles,**Zenodo**, December 02, 2022, pp. 1-179, https://doi.org/10.5281/zenodo.7390666.**Inder J. Taneja**, Figured Magic Squares of Order 30 Using Bordered Magic Rectangles,**Zenodo**, December 02, 2022, pp. 1-179, https://doi.org/10.5281/zenodo.7390705.

### Block 2: Even Order Magic Squares from 32 to 40

**Inder J. Taneja**, Figured Magic Squares of Order 32 Using Bordered Magic Rectangles,**Zenodo**, December 22, 2022, pp. 1-310, https://doi.org/10.5281/zenodo.7472891.**Inder J. Taneja**, Figured Magic Squares of Order 34 Using Bordered Magic Rectangles,**Zenodo**, December 27, 2022, pp. 1-193, https://doi.org/10.5281/zenodo.7486540.**Inder J. Taneja**, Figured Magic Squares of Order 36 Using Bordered Magic Rectangles,**Zenodo**, December 27, 2022, pp. 1-140, https://doi.org/10.5281/zenodo.7486548.**Inder J. Taneja**, Figured Magic Squares of Order 38 Using Bordered Magic Rectangles,**Zenodo**, January 03, 2023, pp. 1-133, https://doi.org/10.5281/zenodo.7500188.**Inder J. Taneja**, Figured Magic Squares of Order 40 Using Bordered Magic Rectangles,**Zenodo**, January 03, 2023, pp. 1-157, https://doi.org/10.5281/zenodo.7500192.

### Block 3: Even Order Magic Squares from 42 to 50

**Inder J. Taneja**, Magic Squares of Order 42, Using Bordered Magic Rectangles: A Systematic Procedure,**Zenodo**, March 03, 2023, pp. 1-92, https://doi.org/10.5281/zenodo.7695834.**Inder J. Taneja**, Magic Squares of Order 44 Using Bordered Magic Rectangles: A Systematic Procedure, Under construction.**Inder J. Taneja**, Magic Squares of Order 46 Using Bordered Magic Rectangles: A Systematic Procedure, Under construction.**Inder J. Taneja**, Magic Squares of Order 48 Using Bordered Magic Rectangles: A Systematic Procedure, Under construction.**Inder J. Taneja**, Magic Squares of Order 50 Using Bordered Magic Rectangles: A Systematic Procedure, Under construction.

## Magic Squares of Order 42

Below are a few Examples of Magic Squares of Order 42 using **bordered magic rectangles**. Below are only 80 magic squares of order 42, but there are many more possibilities. These are given in **PDF files at the end of this work**

- Part 1: Block-Wise and Bordered
- Part 2: Cornered Magic Squares of Order 4
- Part 3: Closed Border of Order 4
- Part 4: Cornered Magic Squares of Order 6
- Part 5: Closed Border of Order 6
- Part 6: Cornered Magic Squares of Order 8
- Part 7: Closed Border of Order 8
- Part 8: Cornered Magic Squares of Order 10
- Part 9: Closed Border of Order 10
- Part 10: Cornered Magic Squares of Order 12
- Part 11: Closed Border of Order 12
- Part 12: Equal Sums Magic Squares of Order 14
- Part 13: Closed Border of Order 14
- Part 14: Cornered Magic Squares of Order 16
- Part 15: Closed Border of Order 16
- Part 16: Cornered Magic Squares of Order 18
- Part 17: Closed Border of Order 18
- Part 18: Two Consecutive BMRs of Orders 20 × 20 and 22 × 22