Published January 20, 2025 | Version v2
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Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 24

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

Description

There are many ways of representing magic squares with palindromic type entries. Also, we can write magic squares in the composite forms based on pair of Latin squares.  Based on palindromic and composite magic squares we have written  upside-down and/or mirror looking magic squares. By upside-down, we understand that making  180 degrees rotation still we get a magic square. By mirror looking, we understand that putting magic square in front of mirror, still we get another magic square. When the magic square is of both type, upside-down and mirror looking, we call it as universal magic square.  It is a revised and enlarged version of author's previous works on digital-type fonts magic squares.  In case of upside-down situation, the number 6 becomes 9 and 9 as 6.  In case of mirror looking, the numbers 2 becomes 5 and 5 as 2 (writing as digital fonts). Total work of magic squares of orders 3 to 16 and order 20. It is divided in parts. First is for orders 3 to 6, and second part for orders 7 to 10, and third part is for the 11 to 15. The next parts are for orders 16, 20 and 21. This work is for order 24. We worked with blocks of magic squares of orders 3, 4, 6 and 8.  For more details follow online link of authors web-site (3to6,  7to1011to15, 1620, 21 and 24).

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UMW-24.pdf

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