{"id":9010,"date":"2023-05-30T21:38:46","date_gmt":"2023-05-31T00:38:46","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=9010"},"modified":"2023-06-02T22:50:06","modified_gmt":"2023-06-03T01:50:06","slug":"cornered-magic-squares-of-orders-5-to-10","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=9010","title":{"rendered":"Cornered Magic Squares of Orders 5 to 10"},"content":{"rendered":"\n

Below are just examples of cornered magic squares of orders 5 to 10. These are in all the four corners of each magic square. This work was possible with the help of Harry White (Magic Squares – budshaw.ca<\/a>). <\/p>\n\n\n\n

This work can be accessed at the following link:
Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 13, Zenodo<\/strong>, June 03, 2023, pp. 1-71, https:\/\/10.5281\/zenodo.8000467<\/a>.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Cornered Magic Squares of Order 5<\/h3>\n\n\n\n

Below are examples of cornered magic squares of order 5 cornered in four directions a magic square of order 3:<\/p>\n\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

Cornered Magic Squares of Order 6<\/h3>\n\n\n\n

Below are examples of cornered magic squares of order 6 cornered in four directions a pandiagonal<\/strong> magic square of order 4:<\/p>\n\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

These magic squares are studied before by author. For more details see the following link:
1. Inder Jeet Taneja, Cornered Magic Squares of Order 6<\/a>
2. Inder J. Taneja, Cornered Magic Squares of Order 6, Zenodo<\/strong>, May 23, 2023, pp. 1-23, https:\/\/doi.org\/10.5281\/zenodo.7960679<\/a>.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Cornered Magic Squares of Order 7<\/h3>\n\n\n\n

Below are examples of cornered magic squares of order 7.<\/p>\n\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

Above there are three examples of cornered magic squares of order 7. First example is embedded with cornered magic squares of orders, 3 and 5. We may call it as chained<\/strong> or nested magic<\/strong> squares. The second and third examples are with magic squares of order 5. One of them is pandiagonal<\/strong> and another as bordered<\/strong> magic square of order 5. <\/p>\n\n\n\n

<\/p>\n\n\n\n

Cornered Magic Squares of Order 8<\/h3>\n\n\n\n

Below are few examples of cornered magic squares of order 8. These are of different types:<\/p>\n\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

About there are four examples of cornered magic squares of order 8. First example is chained with magic squares of order 6 as given before. The other three examples are just with three different types of magic squares of order 6. Sometimes we may call the first example as chained or nested magic<\/strong> squares.<\/p>\n\n\n\n

Cornered Magic Square of Order 9<\/h3>\n\n\n\n

Below are few examples of cornered magic squares of order 9:<\/p>\n\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

Above there are five examples of cornered magic squares of order 9. First example is embedded with cornered magic squares of orders 3, 5 and 7. We may call it as chained<\/strong> or nested magic<\/strong> squares. The second and third examples are with magic squares of order 7. One of them is pandiagonal<\/strong> and another as bordered<\/strong> magic squares of order 7. The last two examples are with two different types of pandiagonal<\/strong> magic squares of order 5. One of them is pandiagonal<\/strong> and another as bordered<\/strong> magic squares of order 5. <\/p>\n\n\n\n

<\/p>\n\n\n\n

Cornered Magic Square of Order 10<\/h3>\n\n\n\n

Below are few examples of cornered magic squares of order 10:<\/p>\n\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

<\/p>\n\n\n\n

<\/p>\n\n\n\n

Above there are twelve examples of cornered magic squares of order 10. First example is embedded with cornered magic squares of orders, 4, 6 and 10. We may call it as chained<\/strong> or nested magic<\/strong> squares. The seven examples are with different types of magic squares of order 8. The last four are of different type. Here we have bordered magic rectangles of orders 4×10 and 4×6. It is embedded with four different types of magic squares of order 6.<\/p>\n\n\n\n

Extension to further orders is in another page. Follow the link below:<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Below are just examples of cornered magic squares of orders 5 to 10. These are in all the four corners of each magic square. This work was possible with the help of Harry White (Magic Squares – budshaw.ca). This work can be accessed at the following link:Inder Jeet Taneja, Cornered Magic Squares of Orders 5 […]<\/p>\n","protected":false},"author":1,"featured_media":9022,"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-9010","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\/05\/10x10-1-1.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9010","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=9010"}],"version-history":[{"count":8,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9010\/revisions"}],"predecessor-version":[{"id":9171,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/9010\/revisions\/9171"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/9022"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}