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Paper

Spiral Delone sets and three distance theorem

Published 23 March 2020 • © 2020 IOP Publishing Ltd & London Mathematical Society
, , Citation Shigeki Akiyama 2020 Nonlinearity 33 2533

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Article information
Author e-mails

akiyama@math.tsukuba.ac.jp

Author affiliations

1 Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, Japan

ORCID iDs

Dates

Received 26 May 2019
Accepted 10 February 2020
Published

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DOI

https://doi.org/10.1088/1361-6544/ab74ad

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0951-7715/33/5/2533

Abstract

We show that a constant angle progression on the Fermat spiral forms a Delone set if and only if its angle is badly approximable.

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Recommended by Dr Konstantin M Khanin

10.1088/1361-6544/ab74ad