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Preprint . 2025
License: CC BY
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Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 25

Authors: Inder J. Taneja;

Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 25

Abstract

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 13. The forth part is for the orders 14 to 16. The fifth part is for the orders 17 to 20. The sixth part is for the orders 21 to 25. The seventh part is for the order 24. The work is eight part of the complete project and is for the order 25. It is bimagic with pandiagonal magic squares of blocks of order 5. For more details, follow the online links of author's web-site (3to6, 7to10, 11to15, 16, 20, 21, 24 and 25).

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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