clusters for
Authors:
Landon Curt Noll and David I. Bell
Journal:
Math. Comp. 53 (1989), 439444
MSC:
Primary 52A37
MathSciNet review:
970702
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Abstract 
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Abstract: An ncluster is a set of n lattice points in with no 3 points collinear, no 4 points concyclic, and where all mutual distances are nonzero integers. The initial discoveries of nclusters for are reported. A progress report on small 6clusters and the search for a 7cluster is described. A question on the impact of the lattice point restriction is raised, and the definition of ncluster is generalized to .
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 A. S. Besicovitch, "Rational polygons," Mathematika, v. 6, 1959, p. 98. MR 0110682 (22:1557)
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 Richard K. Guy, Unsolved Problems in Number Theory, SpringerVerlag, New York, 1981. MR 656313 (83k:10002)
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 William Kalsow, Private communication.
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 Arnfried Kemnitz, Private communication.
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 T. K. Sheng, "Rational polygons," J. Austral. Math. Soc., v. 6, 1966, pp. 452459. MR 0209235 (35:137)
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 T. K. Sheng & D. E. Daykin, "On approximating polygons by rational polygons," Math. Mag., v. 38, 1966, pp. 299300. MR 0207648 (34:7463)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198909707020
PII:
S 00255718(1989)09707020
Article copyright:
© Copyright 1989
American Mathematical Society
