{"id":10172,"date":"2023-08-23T19:09:59","date_gmt":"2023-08-23T22:09:59","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=10172"},"modified":"2023-09-10T10:26:42","modified_gmt":"2023-09-10T13:26:42","slug":"new-concepts-in-magic-squares-cornered-magic-rectangles-in-construction-of-magic-squares-of-orders-28-and-30","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=10172","title":{"rendered":"Cornered Magic Squares in Construction of Magic Squares of Orders 16, 20, 24 and 28"},"content":{"rendered":"\n

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Recently, author worked with double digits<\/strong> and cornered magic squares<\/strong>. See the link below:

1. Inder J. Taneja<\/strong>, Double Digits Even and Odd Orders Bordered Magic Squares<\/a>.
Also see: New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108, pp. 1-30, August 09, 2023, Zenodo<\/strong>. https:\/\/doi.org\/10.5281\/zenodo.8230214<\/a>

2. Inder J. Taneja<\/strong>, Cornered Magic Squares<\/a>.
Also see: New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 81, pp. 1-27, August 09, 2023, Zenodo<\/strong>. https:\/\/doi.org\/10.5281\/zenodo.8231157<\/a>.<\/p>\n\n\n\n

In this work we shall consider four equal sum cornered magic squares<\/strong> to bring different types of magic squares of orders 16, 20, 24 and 28. are constructed with four equal sums cornered magic squares<\/strong>. As explained above these are of equal sums in pairs except in corners.<\/strong>

These are made with the help of script by H. White (Downloads (budshaw.ca<\/a>) – NestedCornerRectangles<\/em>)). <\/p>\n\n\n\n

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Let’s start with magic squares of order 16. In this case, we have considered four equal sums magic squares of order 8. <\/p>\n\n\n\n

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Magic Squares of order 16<\/h3>\n\n\n\n

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The last two magic squares are made with magic rectangles of orders 8×10<\/strong> and 6×8<\/strong><\/p>\n\n\n\n

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Magic Squares of Order 20<\/h3>\n\n\n\n

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The last three magic squares are made with magic embedding cornered magic squares<\/strong> of order 6 in double digits magic squares of order 10. <\/p>\n\n\n\n

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Magic Squares of Order 24<\/h3>\n\n\n\n

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Below are three examples of magic squares made with embedded cornered magic squares of order 8 in magic squares of order 12.<\/p>\n\n\n\n

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Magic Squares of Order 28<\/h3>\n\n\n\n

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Below are three examples of magic squares made with embedded cornered magic squares<\/strong> of order 10 in magic squares of order 14.<\/p>\n\n\n\n

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References<\/h2>\n\n\n\n

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  1. Inder J. Taneja<\/strong>, Double Digits Even and Odd Orders Bordered Magic Squares<\/a>.
    Also see: New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108, pp. 1-30, August 09, 2023, Zenodo<\/strong>.     https:\/\/doi.org\/10.5281\/zenodo.8230214<\/a>.<\/li>\n\n\n\n
  2. Inder J. Taneja<\/strong>, New Concepts in Magic Squares: Cornered Magic Squares of Orders 5 to 81, pp. 1-27, August 09, 2023, Zenodo<\/strong>. https:\/\/doi.org\/10.5281\/zenodo.8231157<\/a>.<\/li>\n\n\n\n
  3. Inder J. Taneja<\/strong>, Different Types of Magic Rectangles, Zenodo<\/strong>, September 04, 2023, pp. 1-26, https:\/\/doi.org\/10.5281\/zenodo.8316719<\/a>.<\/li>\n\n\n\n
  4. Inder J. Taneja<\/strong>, Different Types of Magic Rectangles in Construction of Magic Squares of Orders 14 and 18, Zenodo<\/strong>, September 10, 2023, pp. 1-32, https:\/\/doi.org\/10.5281\/zenodo.8331709<\/a>.<\/li>\n\n\n\n
  5. Inder J. Taneja<\/strong>, Different Types of Magic Rectangles in Construction of Magic Squares of Order 22, Zenodo<\/strong>, September 10, 2023, pp. 1-36, https:\/\/doi.org\/10.5281\/zenodo.8331743<\/a>.<\/li>\n\n\n\n
  6. Inder J. Taneja<\/strong>, Different Types of Magic Rectangles in Construction of Magic Squares of Order 26, Zenodo<\/strong>, September 10, 2023, pp. 1-39, https:\/\/doi.org\/10.5281\/zenodo.8331750<\/a>.<\/li>\n\n\n\n
  7. Inder J. Taneja<\/strong>, Different Types of Magic Rectangles in Construction of Magic Squares of Order 30, Zenodo<\/strong>, September 10, 2023, pp. 1-44, https:\/\/doi.org\/10.5281\/zenodo.8331755<\/a>.<\/li>\n\n\n\n
  8. Inder J. Taneja<\/strong>, Different Types of Magic Rectangles in Construction of Magic Squares of Order 34, Zenodo<\/strong>, September 10, 2023, pp. 1-49, https:\/\/doi.org\/10.5281\/zenodo.8331759<\/a>.<\/li>\n\n\n\n
  9. Inder J. Taneja<\/strong>, Cornered Magic Squares in Construction of Magic Squares of Orders 16, 20, 24 and 28, Zenodo<\/strong>, September 10, 2023, pp. 1-35, https:\/\/doi.org\/10.5281\/zenodo.8332156<\/a>.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    Recently, author worked with double digits and cornered magic squares. See the link below: 1. Inder J. Taneja, Double Digits Even and Odd Orders Bordered Magic Squares.Also see: New Concepts in Magic Squares: Double Digits Bordered Magic Squares of Orders 7 to 108, pp. 1-30, August 09, 2023, Zenodo. https:\/\/doi.org\/10.5281\/zenodo.8230214 2. Inder J. Taneja, Cornered […]<\/p>\n","protected":false},"author":1,"featured_media":10331,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-10172","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-magic-squares"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2023\/09\/MR-24x24-7.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/10172","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10172"}],"version-history":[{"count":5,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/10172\/revisions"}],"predecessor-version":[{"id":10412,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/10172\/revisions\/10412"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/10331"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}