Published July 25, 2023 | Version 2
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Bordered Magic Squares Multiples of Order 6

  • 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 114. Based on these two big magic inner order magic squares multiples of 6 are studied. By inner orders we understand that magic squares of orders 114, 108, 102, 96, 90, 84, etc. The construction of the bordered magic squares multiples of 6 is based on equal sum blocks of magic squares of order 6. It is done in three different types of magic squares of order 6.  The advantage in studying bordered magic squares is that when we remove external border, still we left with magic squares of lower orders with sequential entries. This work is for multiples of order 6. For multiples of order 4  see author's recent work. The further multiples, such as multiples, 8, 10, 12, etc. shall be done in another works. This work brings examples only up to order 36.  Higher orders examples can be seen in Excel file attached with the work. The total work is up to order 120.

Notes

For mor details see Excel file attached with the work.

Files

Block-Bordered-120-114-6.pdf

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