Published March 10, 2021 | Version v1
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Odd Order Multiples Universal Magic Squares With 1 and 8

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

Description

In previous works, the author worked with magic squares multiples of 4, 6 and 12 for the magic squares of orders 33 to 128. These works are for the two digits of type {1, 8}; {2, 5} and {6, 9}. For the same digits, the work also done for the magic squares of orders 3 to 32. All these works refers to even order multiples special from order 33 onwards. In this work we studied odd order multiples 3 to 19 using only the digits 1 and 8. Each magic square is with 12-digits cell entries. In all the situations the magic squares are universal, i.e., upside-down and mirror looking or reflexive

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