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ZENODO
Preprint . 2020
License: CC BY
Data sources: Datacite
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ZENODO
Preprint . 2020
License: CC BY
Data sources: Datacite
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Universal Magic Squares of Orders 128, 126 and 120 With Digits 1 and 8

Authors: Taneja, Inder J.;

Universal Magic Squares of Orders 128, 126 and 120 With Digits 1 and 8

Abstract

This work brings magic squares ot type 4k, 6k and 12k using the digits 1 and 8. Each magic square contains 14-digits in each cell. Just with two digits, one can have exactly 16384 different possibilities of 14-digits combinations from two digits. In case of 4k, we have written magic squares of orders, 4, 8,...., 60, 64,..., 124, 128. In case 6k, we have written magic squares of orders 6, 12, ..., 54, 60, 120, 126. In case of 12k, we have written magic squares of orders 6, 12, 24, 36, 48 , 60, 72, 84, 96, 108 and 120. In each case, all the blocks of magic squares of orders 4, 6 and 12 are with equal magic sums. The same work for the digits 2 and 5, and 6 and 9 is done in another works. The work on multiples of 3, 5, 7 etc. shall be done elsewhere. Later, the idea is to extend the same work up to magic square of order 256 having 16-digits in each cell just with two digits: {1,8}, {2,5} and {6,9}. In the first two cases, the work is always upside-down and mirror looking, while in the third case the work is only upside-down. When the magic squares are upside-down and mirror looking, we call them as universal magic squares. The whole work is without use of any programming language. It is just based on the number's combinations.

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Keywords

Magic Squares, Upside-down, Mirror Looking.

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selected citations
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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.
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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