Published July 27, 2023 | Version v1
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Bordered and Pandiagonal Magic Squares Multiples of 16

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

Description

During past years author worked with block-wisebordered and block-bordered magic squares. This work make connection between block-wise and  bordered magic squares. We started with bordered magic squares of orders 144 and 128. Based on these two big magic squares, the inner order magic squares multiples of 16 are studied.  It is done with 24 different types of magic squares of order 16. Two blocks of order 16 composed with small blocks of 4 are pandiagonal. This lead us to write all orders multiples of 16 as  pandiagonal magic squares. The only difference is that the pandiagonal magic squares multiples of 16 are no more bordered magic squares. Similar kind of work for the multiples of orders 4, 6, 8, 10 and 12 is already done by the author (multiples-4multiples-6multiples-8multiples-10multiples-12, multiples-14 ). The further multiples, such as multiples, for order 18, shall be done in another works. This work brings examples bordered and pandiagonal magic squares up to order 48.  Higher order examples are given in Excel files attached with the work. 

Notes

Excel files of whole the work are attached for download.

Files

Block-Bordered-144-128-16.pdf

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