Published November 14, 2022 | Version 2
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Different Styles of Magic Squares of Order 18 Using Bordered Magic Rectangles

  • 1. Formally, Professor of Mathematics, Federal University of Santa Catarina, Florian'opolis, 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 18. This work is with much more magic squares then previous work. The previous work is on orders 6, 8, 10, 12, 14 and 18 The further work is on order 20. For summary see the links (link1, link2).

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