Different Styles of Magic Squares of Order 18 Using Bordered Magic Rectangles and the Formula (a+b)^2
Inder Jeet Taneja · Zenodo (CERN European Organization for Nuclear Research) · 2022
The author worked on different kinds of magic squares. These include block-wise, bordered, block-bordered and block-wise bordered magic squares. The block-wise bordered magic squares are very much similar to bordered magic squares, where the numbers are replaced by blocks of magic squares. For the first time in this work, two new concepts in construction of magic square are considered. The first one is by using small blocks of magic or bordered magic rectangles. It is not always possible to write bordered magic rectangles for the non-sequential entries. In this case, the simple magic rectangles are considered. The second aspect is totally new and is based on the algebraic formula (a+b)^2. The magic squares studied in this work are of order 18. For previous orders 8, 10, 12, 14 and 16 click here (paper 1, paper 2, paper3).