There are many ways of writing magic or **bordered** magic squares, where the sum of entries is always a **perfect square**. In one of the possibility, the magic sums are such that they satisfy **uniformity property**. Another way is to write magic squares generated by **Pythagorean triples**. Based on these idea, we can always write magic squares or **bordered** magic squares where the sum of entries is always a **perfect square**. Still, these sums are not minimum. There is a third way to write magic squares or **bordered** squares such that we get **minimum perfect square sum** of entries. This what we have done in this work with **bordered** and **block-wise bordered** magic squares. In case of even order magic squares, we can always write \textbf{block-wise bordered} magic squares with equal sum sub-blocks. In case of odd order magic squares, we can write them as **block-wise bordered** magic squares, but with different sub-blocks sums. This work is for the orders 3 to 47. Recently, author applied this idea of **perfect square sum** of entries to write area representations of magic squares. The whole work is written in two parts. See the links below for download:

- Inder J. Taneja, Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 3 to 31. July 20, 2021, pp. 1-82,
**Zenodo**, http://doi.org/10.5281/zenodo.5116408 - Inder J. Taneja, Minimum Perfect Square Sum Bordered and Block-Wise Bordered Magic Squares: Orders 32 to 47. July 20, 2021, pp. 1-64,
**Zenodo**, http://doi.org/10.5281/zenodo.5116410

Below are examples of **bordred** and **block-wise bordred** magic squares of orders 3 to 47 with minimum perfect square sum of the entries.

### Magic Squares of Orders 3 and 4

### Bordered Magic Squares of Orders 5 to 9

### Bordered and Block-Wised Bordered Magic Squares of Order 10

### Bordered Magic Square of Order 11

### Bordered and Block-Wised Bordered Magic Squares of Order 12

### Bordered Magic Square of Order 13

### Bordered and Block-Wised Bordered Magic Squares of Order 14

### Bordered Magic Square of Order 15

### Bordered and Block-Wised Bordered Magic Squares of Order 16

### Bordered Magic Square of Order 17

### Bordered and Block-Wised Bordered Magic Squares of Order 18

### Bordered Magic Square of Order 19

### Bordered and Block-Wised Bordered Magic Squares of Order 20

### Bordered Magic Square of Order 21

### Bordered and Block-Wised Bordered Magic Squares of Order 22

### Bordered Magic Square of Order 23

### Bordered and Block-Wised Bordered Magic Squares of Order 24

### Bordered Magic Square of Order 25

### Bordered and Block-Wised Bordered Magic Squares of Order 26

### Bordered Magic Square of Order 27

### Bordered and Block-Wised Bordered Magic Squares of Order 28

### Bordered Magic Square of Order 29

### Bordered and Block-Wised Bordered Magic Squares of Order 30

### Bordered Magic Square of Order 31

### Bordered and Block-Wised Bordered Magic Squares of Order 32

### Bordered Magic Square of Order 33

### Bordered and Block-Wised Bordered Magic Squares of Order 34

### Bordered Magic Square of Order 35

### Bordered and Block-Wised Bordered Magic Squares of Order 36

### Bordered Magic Square of Order 37

### Bordered and Block-Wised Bordered Magic Squares of Order 38

### Bordered Magic Square of Order 39

### Bordered and Block-Wised Bordered Magic Squares of Order 40

### Bordered Magic Square of Order 41

### Bordered and Block-Wised Bordered Magic Squares of Order 42

### Bordered Magic Square of Order 43

### Bordered and Block-Wised Bordered Magic Squares of Order 44

### Bordered Magic Square of Order 45

### Bordered and Block-Wised Bordered Magic Squares of Order 46

### Bordered Magic Square of Order 47

Categories: Magic Numbers, Magic Squares