Published February 1, 2019 | Version v1
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Block-Wise Equal Sums Magic Squares of Orders 3k and 6k

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

Description

This paper brings block-wise magic squares multiple of 3 and 6. The multiples of 6 means even order multiples of 3, such as, orders 12, 18, 24, 30, 36, etc. From magic squares of order 9 to 36, all the cases are of pandiagonal magic squares except the orders 18 and 30. The constructions are in such a way that in each case the sub-blocks are of same magic sums or sum of all entries are same. The work on  pandiagonal  squares of orders 4k is done by author [22]. In these cases, all the sub-blocks are of perfect pandiagonal magic squares of order 4 with same magic sums. In case of order 30, three different ways are given. The pandiagonal magic square of order 36 is done two different ways, one with 81 sub-blocks of pandiagonal magic squares of order 4,  and second with 16 blocks of order 9  pandiagonal magic squares with different magic sums. This work is a combined version of author's previous two papers [23, 24]  done in 2017

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