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On Schoenberg's Rational Polygon Problem

Published online by Cambridge University Press:  09 April 2009

D. D. Ang ,
D. E. Daykin  and
T. K. Sheng
D. D. Ang
Affiliation:
University of Saigon
D. E. Daykin
Affiliation:
University of Saigon
T. K. Sheng
Affiliation:
University of Malaya University of Malaya
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A polygon is said to be rational if all its sides and diagonals are rational, and I. J. Schoenberg has posed the difficult question, ‘Can any given polygon be approximated as closely as we like by a rational polygon?’ Many of the known results concerning this question are contained as special cases in theorem 1 below which was proved by one of us (cf. the references).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 337 - 344
Copyright
Copyright © Australian Mathematical Society 1969

References

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