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Published February 1, 2019 | Version v1
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Block-Wise Magic and Bimagic Squares of Orders 12 to 36

  • 1. Formerly, Professor of Mathematics, Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil

Description

This paper summarize some of the results done before by author on block-wise constructions of magic squares.  In this paper, we shall rewrite some these results without details. The details can be seen in the reference list. This is done for the magic squares of orders 12 to 36, i.e., for the orders 12, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 33, 35 and 36. In some cases, the magic squares are bimagic or semi-bimagic. We tried to bring all the possible combinations in each case. In all the cases, at least one of the block-wise representation is pandiagonal except the orders 18 and 30. Magic squares for the prime numbers and double of prime numbers, such as, 11, 13, 22, 26, etc. are not considered. 

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BWise-Order-12-to-36.pdf

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