Published December 20, 2020 | Version v1
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Block-Wise and Block-Bordered Magic and Bimagic Squares With Magic Sums 21, 21^2 and 2021

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

Description

We know that we can always write block-wise magic squares of any order except for the orders of type p and 2p, where p is a prime number. On the other hand we can always write bordered magic squares of any order. The aims of this work is to bring both bordered and block-wise magic squares. These block-wise and block-bordered magic squares are of orders 8 to 26. All these magic squares are with magic sums as 21, 21^2 and 2021. In some cases, such as magic squares of orders 8,9, 16 and 25 are also bimagic squares. In case of order 24 with the blocks of orders 3 and 8 the magics squares also turns semi-bimagic squares. This work is based on authors three paper (Paper-I, Paper-II, Paper-III).

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BL-BB-Magic Squares.pdf

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