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 or
- I. J. TANEJA, Magic Crosses: Repeated and Non Repeated Entries. Zenodo, February 01, 2019, pp 1-37, http://doi.org/10.5281/zenodo.2554623.
- Orders (odd, odd):
- Orders (even, even):
Link for download the complete work: Magic Crosses or
- I. J. TANEJA, Magic Crosses: Repeated and Non Repeated Entries. Zenodo, February 01, 2019, pp 1-37, http://doi.org/10.5281/zenodo.2554623.