{"id":12731,"date":"2024-10-07T00:53:31","date_gmt":"2024-10-07T03:53:31","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=12731"},"modified":"2024-11-06T23:47:04","modified_gmt":"2024-11-07T02:47:04","slug":"universal-and-upside-down-magic-squares-of-orders-11-to-15","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=12731","title":{"rendered":"Universal and Upside-Down Magic Squares of Orders 11 to 15"},"content":{"rendered":"\n

There are many ways of representing magic squares with palindromic type entries. Also, we can write magic squares in the composite forms based on pair of Latin squares. This paper works with magic squares of order 11 to 15. By upside-down<\/strong>, we understand than by making 180o<\/sup> it remains same. When the magic square is of both type, i.e., upside-down<\/strong> and mirror looking<\/strong>, we call it an universal<\/strong> magic square. By mirror looking we understand that putting in front of mirror, still we see the image as a magic square. In case of mirror looking, writing as digitais fonts<\/strong>, 2 becoms 5 and 5 as 2. In case of upside-down, 6 becomes 9 and 9 as 6.

For complete work for the orders 3 to 25, see the reference list at end of this work. For this work, see the online link given below:<\/p>\n\n\n\n