Simmons, David orcid.org/0000-0002-9136-6635 and Solomon, Yaar (2016) A Danzer set for Axis Parallel Boxes. Proceedings of the American Mathematical Society. pp. 2725-2729. ISSN 0002-9939
Abstract
We present concrete constructions of discrete sets in $\mathbb{R}^d$ ($d\ge 2$) that intersect every aligned box of volume $1$ in $\mathbb{R}^d$, and which have optimal growth rate $O(T^d)$.
Metadata
Item Type: | Article | ||||
---|---|---|---|---|---|
Authors/Creators: |
|
||||
Copyright, Publisher and Additional Information: | © 2015 American Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details | ||||
Keywords: | cs.CG, cs.DM, math.DS | ||||
Dates: |
|
||||
Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
Funding Information: |
|
||||
Depositing User: | Pure (York) | ||||
Date Deposited: | 20 Feb 2017 14:20 | ||||
Last Modified: | 24 Mar 2024 00:11 | ||||
Published Version: | https://doi.org/10.1090/proc/12911 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1090/proc/12911 | ||||
Related URLs: |
Downloads
Filename: doc.pdf
Description: doc
Filename: 1409.0926v3
Description: pdf