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Creative Magic Squares: Increasing and Decreasing Orders Crazy Representations

Authors: Inder J. Taneja;

Creative Magic Squares: Increasing and Decreasing Orders Crazy Representations

Abstract

This paper brings magic squares of orders 3 to 10 in terms of crazy representations. These representations are of three types. One in increasing order of digits starting from 1. The second in decreasing order of digits ending in 1. The third is also in decreasing orders ending in 0. These representations are neither ending or starting from 9. Minimum possible representation way is applied. For example, we can write 123 as 123 or 4!*3!-21 or 3+((2+1)!-0!)!. These representations are with two extra operations, such as factorial and square-root. The magic squares from the order 3 to 9 are written once, and the magic square of order 10 is written twice. One as a normal way, the second as block-bordered, where inner part as block-wise pandiagonal magic square of order 8 with equal sum blocks of order 4. Previous works of similar kind is done with single digit, single letter and permutable base-powers.

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Keywords

Crazy Representations, Magic Squares, Increasing Order, Decreasing Order

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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).
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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.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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