Preprint Open Access

Block-Wise Magic and Bimagic Squares of Orders 12 to 36

Inder J. Taneja


DCAT Export

<?xml version='1.0' encoding='utf-8'?>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:adms="http://www.w3.org/ns/adms#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dct="http://purl.org/dc/terms/" xmlns:dctype="http://purl.org/dc/dcmitype/" xmlns:dcat="http://www.w3.org/ns/dcat#" xmlns:duv="http://www.w3.org/ns/duv#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:frapo="http://purl.org/cerif/frapo/" xmlns:geo="http://www.w3.org/2003/01/geo/wgs84_pos#" xmlns:gsp="http://www.opengis.net/ont/geosparql#" xmlns:locn="http://www.w3.org/ns/locn#" xmlns:org="http://www.w3.org/ns/org#" xmlns:owl="http://www.w3.org/2002/07/owl#" xmlns:prov="http://www.w3.org/ns/prov#" xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#" xmlns:schema="http://schema.org/" xmlns:skos="http://www.w3.org/2004/02/skos/core#" xmlns:vcard="http://www.w3.org/2006/vcard/ns#" xmlns:wdrs="http://www.w3.org/2007/05/powder-s#">
  <rdf:Description rdf:about="https://doi.org/10.5281/zenodo.2555343">
    <dct:identifier rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">https://doi.org/10.5281/zenodo.2555343</dct:identifier>
    <foaf:page rdf:resource="https://doi.org/10.5281/zenodo.2555343"/>
    <dct:creator>
      <rdf:Description>
        <rdf:type rdf:resource="http://xmlns.com/foaf/0.1/Agent"/>
        <foaf:name>Inder J. Taneja</foaf:name>
        <org:memberOf>
          <foaf:Organization>
            <foaf:name>Formerly, Professor of Mathematics, Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil</foaf:name>
          </foaf:Organization>
        </org:memberOf>
      </rdf:Description>
    </dct:creator>
    <dct:title>Block-Wise Magic and Bimagic Squares of Orders 12 to 36</dct:title>
    <dct:publisher>
      <foaf:Agent>
        <foaf:name>Zenodo</foaf:name>
      </foaf:Agent>
    </dct:publisher>
    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#gYear">2019</dct:issued>
    <dcat:keyword>Magic Squares, Block-Wise Magic Squares, Equal Sum Sub-Blocks, Unequal Sum Sub-Blocks</dcat:keyword>
    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#date">2019-02-01</dct:issued>
    <dct:language rdf:resource="http://publications.europa.eu/resource/authority/language/ENG"/>
    <owl:sameAs rdf:resource="https://zenodo.org/record/2555343"/>
    <adms:identifier>
      <adms:Identifier>
        <skos:notation rdf:datatype="http://www.w3.org/2001/XMLSchema#anyURI">https://zenodo.org/record/2555343</skos:notation>
        <adms:schemeAgency>url</adms:schemeAgency>
      </adms:Identifier>
    </adms:identifier>
    <dct:isVersionOf rdf:resource="https://doi.org/10.5281/zenodo.2555342"/>
    <dct:description>&lt;p&gt;This paper summarize some of the results done before by author on &lt;strong&gt;block-wise constructions&amp;nbsp;of magic squares&lt;/strong&gt;. &amp;nbsp;In this paper, we shall rewrite some these results without details. The details can be seen in the reference list. This is done for the magic squares of orders 12 to 36, i.e., for the orders 12, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 33, 35 and 36. In some cases, the magic squares are &lt;strong&gt;bimagic&lt;/strong&gt;&amp;nbsp;or &lt;strong&gt;semi-bimagic&lt;/strong&gt;. We tried to bring all the possible combinations in each case.&amp;nbsp;In all the cases, at least one of the &lt;strong&gt;block-wise representation&lt;/strong&gt;&amp;nbsp;is &lt;strong&gt;pandiagonal&lt;/strong&gt;&amp;nbsp;except the orders 18 and 30. Magic squares for the prime numbers and double of prime numbers, such as, 11, 13, 22, 26, etc. are not considered.&amp;nbsp;&lt;/p&gt;</dct:description>
    <dct:accessRights rdf:resource="http://publications.europa.eu/resource/authority/access-right/PUBLIC"/>
    <dct:accessRights>
      <dct:RightsStatement rdf:about="info:eu-repo/semantics/openAccess">
        <rdfs:label>Open Access</rdfs:label>
      </dct:RightsStatement>
    </dct:accessRights>
    <dct:license rdf:resource="https://creativecommons.org/licenses/by/4.0/legalcode"/>
    <dcat:distribution>
      <dcat:Distribution>
        <dcat:accessURL rdf:resource="https://doi.org/10.5281/zenodo.2555343">https://doi.org/10.5281/zenodo.2555343</dcat:accessURL>
        <dcat:byteSize>5566406</dcat:byteSize>
        <dcat:downloadURL rdf:resource="https://zenodo.org/record/2555343/files/BWise-Order-12-to-36.pdf">https://zenodo.org/record/2555343/files/BWise-Order-12-to-36.pdf</dcat:downloadURL>
        <dcat:mediaType>application/pdf</dcat:mediaType>
      </dcat:Distribution>
    </dcat:distribution>
  </rdf:Description>
</rdf:RDF>
264
89
views
downloads
All versions This version
Views 264263
Downloads 8989
Data volume 495.4 MB495.4 MB
Unique views 244243
Unique downloads 7373

Share

Cite as