Magic Crosses

The idea of magic rectangles is well known in 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 is of type (3, 2n+3), (5, 2n+5),… n=1, 2,… Within the orders (even, even),  the work is on magic crosses of orders (4n, 4m), (4n, 2n+2), 2x(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 small 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 magic crosses are with equal magic sums. Below are examples and link for download the complete work.

Link for download the complete work: Magic Crosses

  • Orders (odd, odd):

MC1MC2MC3MC4MC5MC6MC7MC8MC9MC10MC11MC12MC13MC14

MC15

MC16

MC17MC18MC19MC20MC21MC22MC23MC24MC25MC26MC27MC28MC29MC30

  • Orders (even, even):

MC31MC32MC33MC34MC35MC36MC37MC38MC39MC40

Link for download the complete work: Magic Crosses

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