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Generation of all magic squares of order 5 and interesting patterns finding

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Lin Z., Liu S., Fang K.-T., Deng Y.

Special Matrices

2016

tom 4

nr 1

110-120

This paper presents an enumeration algorithm to generate all magic squares of order 5 based on the ideas of basic form (Schroeppel [7]) and generating vector which is extension of Frénicle Quads (Ollerenshaw and Bondi [6]). The results lead us to extend Frénicle-Amela patterns from the case of order 4 to the case of order 5, which we refer to Frénicle-Amela-Like patterns. We show that these interesting Frénicle-Amela-Like patterns appear simultaneously. The number of these patterns is also calculated.

Ograniczanie wyników

1 Special Matrices

1 Deng Y.

1 Fang K.-T.

1 Lin Z.

1 Liu S.

1 2016

Wyniki wyszukiwania

Generation of all magic squares of order 5 and interesting patterns finding