Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021

We can always write block-wise magic squares of any order except for the orders of type p and 2p, where p is a prime number. On the other hand we can always write bordered magic squares of any order. The aims of this work is to bring both bordered and block-wise magic squares. These block-wise and block-bordered magic squares are of orders 8 to 26. All these magic squares are with magic sums as 21, 21^{2} and 2021. In some cases, such as of orders 8, 9, 16 and 25 are also bimagic squares. In case of order 24 with the blocks of orders 3 and 8 the magics squares also turns semi-bimagic squares. The work can be downloaded at the following link:

Inder J. Taneja, Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^{2} and 2021. Zenodo, December 20, 2020, http://doi.org/10.5281/zenodo.4380343 , pp. 1-118

Below are few examples of block-bordered magic squares with sums 21, 21^{2} and 2021.

Below are few examples of block-wise magic squares with magic sums 21, 21^{2} and 2021.

## 30 thoughts on “Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021”