The Specified Three Distance Theorem

DOI10.1080/00029890.2020.1743123zbMath1445.11072OpenAlexW3028017365MaRDI QIDQ5111083

Burghard Herrmann

Publication date: 26 May 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1743123

zbMATH Keywords

Diophantine approximationcontinued fractions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) General theory of distribution modulo (1) (11K06)

Cites Work

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• A short proof of the 3d distance theorem
• Three distance theorems and combinatorics on words
• Visibility in a pure model of Golden spiral phyllotaxis
• The role of intermediate convergents in Tait's explanation for phyllotaxis
• A Footnote to the Three Gaps Theorem

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