Published July 26, 2023 | Version 2
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Block-Wise Bordered Magic Squares Multiples of 10

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

Description

During past years author worked with block-wise, bordered and block-bordered magic squares. This work make connection between block-wise and  bordered magic squares. We started with block-wise bordered magic squares of orders 120 and 110. Based on these two big magic inner order magic squares multiples of 10 are studied. By inner orders we understand that magic squares of orders 100, 90, 80, etc.  The construction of the bordered magic squares multiples of 10. It is done in 14 different ways. The advantage in studying block-wise bordered magic squares is that when we remove external border, still we left with magic squares with sequential entries. It is the same property of bordered magic squares. The difference is that instead of numbers here we have blocks of equal sum magic squares of order 10.  For multiples of orders 4, 6 and 8  see author's recent works. The further multiples, such as multiples of 12, 14, etc. shall be done in another works. This work brings examples only up to order 40.  Higher orders examples can be seen in Excel file attached with the work. The total work is up to orders 120.

Notes

The Excel file is attache to see all Examples: Orders 10 to 120.

Files

Block-Bordered-120-110-10.pdf

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