Figured Magic Squares of Order 28 Using Bordered Magic Rectangles: A Systematic Procedure
Creators
- 1. Formarly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil
Description
Recently, author constructed even order magic squares from orders 6 to 20 with different styles and models, for examples the order 20 is with 1616 magic squares, order 18 with 810 magic squares, etc. For details see the link. The aim is to proceed further orders of magic squares. In this work there are few examples of magic squares given only in figures of order 28. A systematic procedure to construct these magic squares is given. It is based on the magic squares and bordered magic rectangles (BMR) of orders 4, 6, 8 etc. forming external borders. The inner blocks are filled with previous known magic squares. For the orders multiples of 4, we can always write magic squares with equal sums blocks of magic squares of order 4. This procedure is very helpful for the orders of type 2p, where p is a prime number, for examples, 14, 22, 26, 34, 38, etc. For the orders like 18, 30, etc., we can make good external blocks with order 4, and for orders like 16, 20, 28, 32, etc. we can make good external borders of order 6, and so on.
Files
Fig-28.pdf
Files
(3.7 MB)
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