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Note on Pantactic Squares

Published online by Cambridge University Press:  03 November 2016

C. J. Bouwkamp ,
P. Janssen  and
A. Koene
C. J. Bouwkamp
Affiliation:
Philips Research Laboratories N.V. Philips’ Gloeilampenfabrieken, Eindhoven—Netherlands
P. Janssen
Affiliation:
Philips Research Laboratories N.V. Philips’ Gloeilampenfabrieken, Eindhoven—Netherlands
A. Koene
Affiliation:
Philips Research Laboratories N.V. Philips’ Gloeilampenfabrieken, Eindhoven—Netherlands
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Extract

Pantactic squares were invented and studied by Astle [1]. From a review by Holzer [2] we learned that the number of distinct pantactic squares remained unknown; Astle himself only mentions that the number of distinguishable pantactic squares runs into hundreds. Therefore we turned the problem over to the computer. By a simple programme in FORTRAN, run on our CDC 3600/3200 computer, we found altogether 800 distinguishable pantactic squares.

Type
Research Article
Information
The Mathematical Gazette , Volume 54 , Issue 390 , December 1970 , pp. 348 - 351
Copyright
Copyright © Mathematical Association 1970

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References

1. Astle, B., Pantaotic squares, Math. Gazette, 49, 144–152 (1965).Google Scholar
2. Holzer, L., Zentralbl. Math. Grenzgeb., 132, 6 (1967).Google Scholar