{"id":8078,"date":"2023-03-03T08:54:59","date_gmt":"2023-03-03T11:54:59","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=8078"},"modified":"2023-03-03T18:13:34","modified_gmt":"2023-03-03T21:13:34","slug":"double-cross-bordered-magic-rectangles-and-magic-squares-of-order-42","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=8078","title":{"rendered":"Double-Cross Bordered Magic Rectangles and Magic Squares of Order 42"},"content":{"rendered":"\n

Crossed Bordered Magic Rectangles and Magic Squares<\/h2>\n\n\n\n

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For the first time we are introducing the idea of magic squares by figures. This work brings magic squares of order 42. It is based on external borders made by magic squares<\/strong> or bordered magic rectangles<\/strong>. Then inner blocks are previously known magic squares of smaller orders. A list of work of even order magic squares from orders 6 to 40 can be seen and downloaded at the link<\/a>. This work brings single-cross, double-cross<\/strong> and closed double-cross<\/strong> bordered magic rectangle<\/strong>s to bring magic squares of order 42. This we have done in three parts:
1. Single-Cross Bordered Magic Rectangles.<\/strong>
2. Double-Cross Bordered Magic Rectangles.<\/strong>
3. Closed Double-Cross Bordered Magic Rectangles<\/strong><\/p>\n\n\n\n

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  1. Inder J. Taneja<\/strong>, Single-Cross Bordered Magic Rectangles and Magic Squares of Order 42, Zenodo<\/strong>, March 03, 2023, pp. 1-69, https:\/\/doi.org\/10.5281\/zenodo.7695939<\/a>.<\/li>\n\n\n\n
  2. Inder J. Taneja<\/strong>, Double-Cross Bordered Magic Rectangles and Magic Squares of Order 42, Zenodo<\/strong>, March 03, 2023, pp. 1-59, https:\/\/doi.org\/10.5281\/zenodo.7696070<\/a>.<\/li>\n\n\n\n
  3. Inder J. Taneja<\/strong>, Closed Double-Cross Bordered Magic Rectangles and Magic Squares of Order 42, Zenodo<\/strong>, March 03, 2023, pp. 1-28, https:\/\/doi.org\/10.5281\/zenodo.7696181<\/a>.<\/li>\n<\/ol>\n\n\n\n

    Below are few examples of double-cross bordered magic rectangles<\/strong> forming magic squares of order 42. The complete work is given at the end as pdf file to download<\/strong>.<\/p>\n\n\n\n

    Type 1<\/h3>\n\n\n\n
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    Type 2<\/h3>\n\n\n\n
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    Type 3<\/h3>\n\n\n\n
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    Type 4<\/h3>\n\n\n\n
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    Type 5<\/h3>\n\n\n\n
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    Type 6<\/h3>\n\n\n\n
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    Type 7<\/h3>\n\n\n\n
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    Pdf Files for Download<\/h3>\n\n\n\n

    File 1<\/h3>\n\n\n\n