Magic Crosses: Repeated and Non Repeated Entries
Creators
- 1. Formerly, Professor of Mathematics, Universidade Federal de Santa Catarina, Florianópolis, SC, Brazil
Description
The idea of magic rectangles is well known in the literature. Using this idea we brought for the first time in history a new concept on magic crosses. The work is divided in two groups. One on orders (odd, odd) and another on orders (even, even). Within the orders (odd, odd), the work is on magic crosses of type (3, 2n+3), (5, 2n+5),... n=1, 2,... Within orders orders (even, even), the work is on magic crosses of orders (4n, 4m), (4n, 2n+2), 2(even, odd), etc. In all the case, we used the same number of entries as of magic rectangles to bring magic squares. In case of lower rows and columns of magic crosses the entries are repeated. For non repeated entries we worked with orders (4,12), (5,15), (6,18), (8,24) and (10,30). In this case, the, the magic squares are of equal magic sums. The inspiration of this is due to classical magic square of Naranyana in 14th century (1356AD).
Files
Magic-Crosses.pdf
Files
(6.0 MB)
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