This work brings traditional magic squares of orders 3 to 10 in terms of **single digit**. In this case, the magic squares are written separately for each digit, i.e., for the digits 1 to 9. This has been done for all the orders 3 to 10. In case of orders 8 and 9 there are two possibilities, i.e, one as normal magic squares and another as **bimagic** squares. In case of magic square of order 10, two different ways are written. One as a general magic square without any block. Another as **block-bordered** magic squares with inner magic square of order 8. Again the inner magic square can be written in two ways, i.e., one just **pandiagonal** and another **pandiagonal** and **bimagic**. In case of **single digit** the representations of numbers are not uniform. Writing in terms of single letter * “a”*, we can get uniformity in representations of numbers. It is done in another work.

The whole work can be downloaded at the folloiwng link:

- Inder J. Taneja, Creative Magic Squares: Single Digit Representations, Zenodo, March 25, 2021, pp. 1-165, http://doi.org/10.5281/zenodo.4637121

Below are Examples of Magic Squares of Orders 3 to 10.

## Magic Square of Order 3

## Magic Square of Order 4

## Magic Square of Order 5

## Magic Square of Order 6

## Magic Square of Order 7

## Magic Square of Order 8: Pandiagonal

## Magic Square of Order 8: Pandiagonal and Bimagic

## Magic Square of Order 9: Pandiagonal

## Magic Square of Order 9: Bimagic

## Magic Square of Order 10

## Bordered Magic Square of Order 10

Author’s work on single digits for natural numbers can be seen at

- Inder J. Taneja, Single Digits Representations of Natural Numbers 1 to 10000, https://inderjtaneja.com/2017/08/21/single-digit-representation-of-natural-numbers/
- Inder J. Taneja, Single Digits Representations of Natural Numbers from 1 to 20000, https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/

Categories: Magic Squares