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Published September 26, 2021 | Version v1

Block-Wise Bordered Magic Squares Multiples of 14

Authors/Creators

  • 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 140 and 126. Based on these two big magic squares, the inner order magic squares multiples of 14 are studied. By inner orders we understand as the magic squares of orders 112, 98, 84, etc. Instead of working in decreasing order, we worked with  increasing orders, such as, orders 14, 28, 42, etc. The construction of the block-wise bordered magic squares multiples of 14 is based on equal sum blocks of magic squares of order 14. It is done in five different ways. First way is a general magic square of order 14. The second way is bordered magic squares of order 14. The last three ways are block-bordered magic squares of order 14. By block-bordered, we understand that a magic square of order 14 formed by inner block of order 12 with three different blocks. These blocks are of orders 3, 4 and 6. Similar kind of work for the multiples of orders 4, 6, 8, 10 and 12 is already done by the author (multiples-4, multiples-6, multiples-8, multiples-10, multiples-12). This work brings examples for orders 14, 28, 42 and 56. The higher order examples are given in Excel file attached with the work.

Notes

For more examples excel file is attached.

Files

Block-Bordered-140-126-14.pdf

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