{"id":5534,"date":"2022-12-22T19:39:01","date_gmt":"2022-12-22T22:39:01","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=5534"},"modified":"2023-01-03T23:13:58","modified_gmt":"2023-01-04T02:13:58","slug":"figured-magic-squares-of-order-32-a-systematic-procedure","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=5534","title":{"rendered":"Figured Magic Squares of Order 32: A Systematic Procedure"},"content":{"rendered":"\n

For the first time we are introducing the idea of magic squares by figures. This work brings magic squares of order 32. In some cases, the idea of construction is explained<\/strong>. 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. The lack of numbers in figures is due to the fact that the readers can also try to complete them in their own way. Otherwise, the readers can see the results in the author’s other works. Up to order 20 the results can be seen here<\/a>. Below is a list of work of even order magic squares from orders 6 to 32. The readers can download from the links<\/p>\n\n\n\n

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  1. Inder J. Taneja<\/strong>, Figured Magic Squares of Orders 6, 10, 12, 14 and 16 Using Bordered Magic Rectangles, Zenodo<\/strong>, November 29, 2022, pp. 1-31, https:\/\/doi.org\/10.5281\/zenodo.7377674<\/a>.<\/li>\n\n\n\n
  2. Inder J. Taneja<\/strong>, Figured Magic Squares of Orders 18 and 20 Using Bordered Magic Rectangles, Zenodo<\/strong>, November 29, 2022, pp. 1-87, https:\/\/doi.org\/10.5281\/zenodo.7377689<\/a>.<\/li>\n\n\n\n
  3. Inder J. Taneja<\/strong>, Figured Magic Squares of Order 22 Using Bordered Magic Rectangles, Zenodo<\/strong>, November 29, 2022, pp. 1-61, https:\/\/doi.org\/10.5281\/zenodo.7377706<\/a>.<\/li>\n\n\n\n
  4. Inder J. Taneja<\/strong>, Figured Magic Squares of Order 24 Using Bordered Magic Rectangles, Zenodo<\/strong>, November 29, 2022, pp. 1-104, https:\/\/doi.org\/10.5281\/zenodo.7377779<\/a>.<\/li>\n\n\n\n
  5. Inder J. Taneja<\/strong>, Figured Magic Squares of Order 26 Using Bordered Magic Rectangles, Zenodo<\/strong>, November 29, 2022, pp. 1-88, https:\/\/doi.org\/10.5281\/zenodo.7377794<\/a>.<\/li>\n\n\n\n
  6. Inder J. Taneja<\/strong>, Figured Magic Squares of Order 28 Using Bordered Magic Rectangles, Zenodo<\/strong>, December 02, 2022, pp. 1-179, https:\/\/doi.org\/10.5281\/zenodo.7390666<\/a>. <\/li>\n\n\n\n
  7. Inder J. Taneja<\/strong>, Figured Magic Squares of Order 30 Using Bordered Magic Rectangles, Zenodo<\/strong>, December 02, 2022, pp. 1-179, https:\/\/doi.org\/10.5281\/zenodo.7390705<\/a>.<\/li>\n\n\n\n
  8. Inder J. Taneja<\/strong>, Figured Magic Squares of Order 32 Using Bordered Magic Rectangles, Zenodo<\/strong>, December 22, 2022, pp. 1-310, https:\/\/doi.org\/10.5281\/zenodo.7472891<\/a>.<\/li>\n<\/ol>\n\n\n\n

    Magic Squares of Order 32<\/mark><\/h2>\n\n\n\n

    Below are a few Examples of Figured Magic Squares of Order 32 using bordered magic rectangles<\/strong>. Below are only 282 magic squares of order 32, but there are many more possibilities. This shall be presented later on. In some cases, the idea of construction is explained. In the end there are two PDF files of work embedded for download<\/strong>. One is with figures, and another is with numbers. The examples are divided in following parts:<\/p>\n\n\n\n