{"id":9274,"date":"2023-06-10T20:11:38","date_gmt":"2023-06-10T23:11:38","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=9274"},"modified":"2023-06-13T23:47:38","modified_gmt":"2023-06-14T02:47:38","slug":"odd-order-magic-squares-orders-17-and-19","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=9274","title":{"rendered":"Magic Squares of Orders 17 and 19"},"content":{"rendered":"\n

Recently, author worked with cornered Magic Squares based on two-by-two divisions. These works can be accessed at the following links:
1. Inder Jeet Taneja, Cornered Magic Squares of Orders 5 to 10<\/a>
2. Inder Jeet Taneja, Cornered Magic Squares of Orders 11 to 13<\/a>
3. Inder Jeet Taneja, Cornered Magic Squares of Orders 14 to 24<\/a><\/p>\n\n\n\n

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Also, the author worked on even order<\/strong> double digits bordered magic squares<\/strong>. This works starts from order 8 and goes up to order 40. See below the links:

The work for order of type 4k, k=1, 2, 3, … i.e., for orders 8, 12, 16, 20, 24, 28, 32, 36 and 40:
1. Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24<\/a>.
2. Two Digits Bordered Magic Squares of Orders 28 and 32<\/a>.
3. Two digits Bordered Magic Squares of Order 36.<\/a>
4. Two digits Bordered Magic Squares of Order 40<\/a>.

The work is for the order of type 4k+2, k=1, 2, 3, …, i.e., for the orders 10, 14, 18, 22, 26, 30, 34 and 38:
1. Two digits Bordered Magic Squares of Orders 10, 14, 18 and 22<\/a>.
2. Two digits Bordered Magic Squares of Orders 26 and 30<\/a>.
3. Two digits Bordered Magic Squares of Order 34<\/a>.
4. Two digits Bordered Magic Squares of Order 38<\/a>. <\/a><\/p>\n\n\n\n

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This work is for the odd order magic squares. The work includes three type of magic squares:
1. Traditional centered magic squares.<\/strong>
2. Double digits bordered magic squares.<\/strong>
3. Cornered magic squares.<\/strong>
To construct double digits and cornered magic squares using software, the reader can follow H. White’s site: Magic Squares<\/a>

This work is for orders 17 to 19. To have better idea, pdf files<\/strong> of these magic squares are also embedded. The readers can also download these files. For the previous work from orders 3 to 15 see the following link:
Inder J. Taneja, Odd Order Magic Squares: Orders 3 to 15<\/a><\/p>\n\n\n\n

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Magic Squares of Order 17<\/h3>\n\n\n\n

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There are total 65 magic squares of order 17. Out of them first six are traditional centered magic squares<\/strong>. Magic squares from 7 to 25 are double digits bordered magic squares<\/strong>. Magic squares from 26 to 65 are cornered magic squares<\/strong>. These cornered magic squares include as centered<\/strong> and double digits<\/strong> magic squares of orders, 5, 7, 9, 11, 13 and 15. Above we have written only few examples. Complete list is given below as pdf file for download<\/strong>.<\/p>\n\n\n\n

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Pdf file for download
Magic Squares of Order 17<\/mark><\/h3>\n\n\n\n