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Different Styles of Magic Squares of Order 16 Using Bordered Magic Rectangles and the Formula (a+b)^2

Name: Different Styles of Magic Squares of Order 16 Using Bordered Magic Rectangles and the Formula (a+b)^2
Creator: Inder J. Taneja
Keywords: Magic Squares, Magic Rectangles, Algebraic Formula (a+b)^2

descriptionPublicationkeyboard_double_arrow_right Preprint 18 Sep 2022Publisher:Zenodo

Authors: Inder J. Taneja;

doi: 10.5281/zenodo.7090770

Different Styles of Magic Squares of Order 16 Using Bordered Magic Rectangles and the Formula (a+b)^2

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Abstract

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 possible always 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 16. For previous orders 8, 10, 12 and 14 click here (paper 1, paper 2).

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Universidade Federal de Santa Catarina
Brazil

Keywords

Magic Squares, Magic Rectangles, Algebraic Formula (a+b)^2

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11 Research products, page 1 of 2

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