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Published May 6, 2023 | Version v1
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Block-Wise Bordered and Pandiagonal Magic Squares Multiples of 7

  • 1. Formarly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil

Description

During past years author worked with block-wise bordered magic squares of even orders. It includes blocks of orders 4, 6, 8, 10, etc. Most of the cases are with equal sums magic squares. This type of work is an extension of classical bordered magic squares. In case of multiples of 4, the extension is made for pandiagonal magic squares (click here). For multiples of order 6 refer Taneja (click here).  For the first time, we are presenting here bordered magic squares of odd number blocks. Recently, author worked on mutiples of 3 and 5, based on different sums magic squares of orders 3 and 5 (order3, order5). This work is for borders of magic squares of order 7. It is done with two types of magic squares of order 7. One type is pandiagonal magic squares, and another as bordered magic squares. This work is up to order 49. Higher orders examples can be seen in Excel file attached with the work. The total work is up to order 140. Pandiagonal magic squares based on equal sums pandiagonal magic squares of order 7 are also included in Excel file.

Files

Block-Bordered-140-133-7.pdf

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