Universal Magic Squares of Orders 128, 126 and 120 With Digits 2 and 5
Creators
- 1. Formarly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil
Description
This work brings magic squares of type 4k, 6k and 12k using the digits 2 and 5 written in digital form. Each magic square contains 14-digits in each cell. Just with two digits, one can have exactly 16384 different possibilities of 14-digits combinations from two digits. In case of 4k, we have written magic squares of orders, 4, 8,...., 60, 64,..., 124, 128. In case 6k, we have written magic squares of orders 6, 12, ..., 54, 60, 120, 126. In case of 12k, we have written magic squares of orders 12, 24, 36, 48 , 60, 72, 84, 96, 108 and 120. In each case, all the blocks of magic squares of orders 4, 6 and 12 are with equal magic sums. The same work for the digits 1 and 8 is done in Taneja (click here), and for the digits 6 and 9 is under prepartion. The work on multiples of 3, 5, 7 etc. shall be done elsewhere. Later, the idea is to extend the same work up to magic square of order 256 having 16-digits in each cell just with two digits: {1,8}, {2,5} and {6,9\}. In the first two cases, the work is upside-down and mirror looking, while in the third case the work is only upside-down. When the magic squares are upside-down and mirror looking, we call them as universal magic squares. The whole work is without use of any programming language. It is just based on the number's combinations
Files
Univ-25-128-126-120.pdf
Files
(3.5 MB)
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