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Magic square spectra

✍ Scribed by Peter Loly; Ian Cameron; Walter Trump; Daniel Schindel

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 261 KB
Volume: 430
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.10.032

No coin nor oath required. For personal study only.

✦ Synopsis

results for natural fifth order magic squares from exact backtracking calculations we find 652 with m = 2, and four with m = 4. There are also 20,604 singular seventh order natural ultramagic (simultaneously regular and pandiagonal) squares with m = 2, demonstrating that the co-existence of regularity and pandiagonality permits singularity. The singular odd order examples studied are all nondiagonable.

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