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, 212 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, 212 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, 212 and 2021.
Below are few examples of block-wise magic squares with magic sums 21, 212 and 2021.
30 thoughts on “Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021”