There are many ways of representing magic squares with palindromic type entries. Also, we can write magic squares in the composite forms based on pair of Latin squares. This paper works with magic squares of order 3 to 6. By **upside-down**, we understand than by making 180^{o} it remains same. When the magic square is of both type, i.e., **upside-down** and **mirror looking**, we call it an **universal** magic square. By mirror looking we understand that putting in front of mirror, still we see the image as a magic square. In case of mirror looking, writing as **digitais fonts**, 2 becoms 5 and 5 as 2. In case of upside-down, 6 becomes 9 and 9 as 6.

The magic squares of order 9, we have considered in two different situations. One as **bimagic** and another as **pandiagonal**. In case of order 8, we considered the situations with **pandiagonal** and **bimagic**. For complete work for the orders 3 to 10, the readers can access the following links:

**Inder J. Taneja**, Universal and Upside-Down Magic Squares of Orders 3 to 6,**Zenodo**, September 30, 2024, pp. 1-59, https://doi.org/10.5281/zenodo.13858891.**Inder J. Taneja**, Universal and Upside-Down Magic Squares of Orders 7 to 10,**Zenodo**, September 30, 2024, pp. 1-87, https://doi.org/10.5281/zenodo.13858893.

### Magic Squares of Order 7

### a) 2-Digits Cell Entries:

**Example 1.**

It is **pandiagonal** **upside-down** magic square with magic sum **S _{7×7}(0,1,2,5,6,8, 9):=341**.

### b) 3-Digits Cell Entries:

**Example 2.**

It is **pandiagonal** **upside-down** magic square with magic sum **S _{7×7}(0,1,2,5,6,8, 9):=3441**. In this case, the entries are

**palindromes**.

### c) 4-Digits Cell Entries:

**Example 3.**

It is **pandiagonal** **upside-down** magic square with magic sum **S _{7×7}(1,6,9):=36663**.

**Example 4.**

It is **pandiagonal** **universal** magic square with magic sum **S _{7×7}(2,5,8):=42218**.

### Magic Squares of Order 8

### a) 4-Digits Cell Entries:

**Example 5.**

It is **upside-down** magic square with magic sum **S _{8×8}(1,6,9):=52217**.

**Example 6.**

It is **universal** magic square with magic sum **S _{8×8}(2,5,8):=41107**.

### a) 5-Digits Cell Entries:

**Example 7.**

It is **pandiagonal universal semi-bimagic** square with magic sums **S _{8×8}(2,5,6,9):=488884** and

**Sb**.

_{8×8}(2,5,6,9):=34928450732**Example 8.**

It is **universal** **semi-magic** square with semi-magic sum **S _{8×8}(0,2,5,8):=333330**.

### b) 11-Digits Cell Entries:

**Example 9.**

It is **pandiagonal upside-down** **bimagic **magic square with magic sums **S _{8×8}(6,9):=666666666660** and

**Sb**

_{8×8}(6,9):=57373737374426262626268.**Example 10.**

It is **pandiagonal universal bimagic **magic square with magic sums **S _{8×8}(1,8):=399999999996** and

**Sb**

_{8×8}(6,9):=29898989908389898989900.**Example 11.**

It is **pandiagonal universal bimagic **magic square with magic sums **S _{8×8}(2,5):=311111111108** and

**Sb**

_{8×8}(6,9):=13916947251838608305276.### Bimagic Squares of Order 9

### a) 4-Digits Cell Entries:

**Example 12.**

It is **upside-down bimagic **magic square with magic sums **S _{9×9}(1,6,9):=53328** and

**Sb**

_{9×9}(1,6,9):=414976074.**Example 13.**

It is **universal bimagic **magic square with magic sums **S _{9×9}(2,5,8):=49995** and

**Sb**

_{9×9}(2,5,8):=332267679.### a) 7-Digits Cell Entries:

**Example 14.**

It is **upside-down bimagic** square of order 9 with 3-digits (1,6,9). The magic and **bimagic** sums are given by **S _{9×9}(1,6,9):=53333328** and

**Sb**respectively.

_{9×9}(1,6,9):=415039806496074

**Example 15.**

It is **universal bimagic** square of order 9 with 3-digits (2,5,8). The magic and **bimagic** sums are given by **S _{9×9}(2,5,8):=49999995** and

**Sb**respectively.

_{9×9}(1,6,9):=332323500767679

### Pandiagonal magic Squares of Order 9

### a) 4-Digits Cell Entries:

**Example 16.**

It is **upside-down pandiagonal **magic square of order 9 with 3-digits (6,8,9). The magic sum is given by **S _{9×9}(6,8,9):=76659.**

**Example 17.**

It is **pandiagonal universal **magic square of order 9 with 3-digits (0,2,5). The magic sum is given by **S _{9×9}(0,2,5):=23331.**

### a) 7-Digits Cell Entries:

**Example 18.**

It is **upside-down pandiagonal **magic square of order 9 with 3-digits (6,8,9). The magic sum is given by **S _{9×9}(6,8,9):=76666659.**

**Example 19.**

It is **pandiagonal universal **magic square of order 9 with 3-digits (0,2,5). The magic sum is given by **S _{9×9}(2,5,8):=49999995.**

### Magic Squares of Order 10

### a) 4-Digits Cell Entries:

**Example 20.**

It is **upside-down **magic square of order 10 with 4-digits (1,6,8,9). The magic sum is given by **S _{10×10}(1,6,8,9):=62216.**

**Example 21.**

It is **universal **magic square of order 10 with 4-digits (0,2,5,8). The magic sum is given by **S _{10×10}(0,2,5,8):=32219.**

### a) 6-Digits Cell Entries:

**Example 22.**

It is **upside-down **magic square of order 10 with 3-digits (1,6,9). The magic sum is given by **S _{10×10}(1,6,9):=7019012.**

**Example 23.**

It is **universal **magic square of order 10 with 3-digits (2,5,8). The magic sum is given by **S _{10×10}(1,6,9):=5708703.**