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A Canonical Form for Planar Farey Sets

Norman Richert
Proceedings of the American Mathematical Society
Vol. 83, No. 2 (Oct., 1981), pp. 259-262
DOI: 10.2307/2043507
Stable URL: http://www.jstor.org/stable/2043507
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Canonical Form for Planar Farey Sets
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Abstract

Asmus Schmidt has developed a new algorithm for generating Gaussian rational approximations to complex irrational numbers. The method is based on the structure of a certain collection of planar sets. Schmidt suggested an inductive proof for the structure theorem without publishing the details. The present paper presents a proof, which is not inductive in character.

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