Published July 24, 2023 | Version v1
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Bordered Magic Squares Multiples of 15

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

Description

During past years author worked with bordered magic squares of even number blocks. These are based on equal sums magic squares of orders 4, 6, 8, 10, etc.  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. The work is extended for the multiples of orders 6, 8, etc. Recently, author worked on odd number multiples of 3, 5, 7, 9, 11 and 13.  These are based on different sums of magic squares of order 3, 5, 7, 9, 11 and 13. This work is for multiples of 15.  This we have done with 36 different types of magic squares of order 15. This work brings only up to magic squares of order 60 multiples of 15. Higher order examples can be seen in Excel files attached with the work. The total work is up to magic squares of order 150.

Files

Block-Bordered-150-135-15.pdf

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