Published November 14, 2022 | Version 2
Preprint Open

Different Styles of Magic Squares of Order 16 Using Bordered Magic Rectangles

  • 1. Formally, Professor of Mathematics, Federal University of Santa Catarina, Florinaópolis, SC, Brazil

Description

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. It is based on bordered magic rectangles. and the second process is based on the  algebraic formula (a+b)^2.  Both the processes uses small blocks of bordered magic rectangles. This work is revised a version of author's previous work, and brings magic squares of order 16. This work is with much more magic squares then previous work. The previous work is on orders 6, 8, 10, 12 and 14. The further works are on orders 18 and 20. For summary see the links (link1, link2).

Files

MS16a.pdf

Files (11.5 MB)

Name Size Download all
md5:5ee6e6502e830f152e61d7325cddd124
11.5 MB Preview Download