Wetzel’s sector covers unit arcs

Wetzel’s sector covers unit arcs

© 2020, Akadémiai Kiadó, Budapest, Hungary. We settle J. Wetzel’s 1970’s conjecture and show that a 30 ∘ circular sector of unit radius can accommodate every planar arc of unit length. Leo Moser asked in 1966 for the (convex) region with the smallest area in the plane that can accommodate each arc o...

Full description

Saved in:
Bibliographic Details
Main Authors: Chatchawan Panraksa, Wacharin Wichiramala
Other Authors: Chulalongkorn University
Format: Article
Published: 2020
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/57998
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Mahidol University
id th-mahidol.57998
record_format dspace
spelling th-mahidol.579982020-08-25T17:20:18Z Wetzel’s sector covers unit arcs Chatchawan Panraksa Wacharin Wichiramala Chulalongkorn University Mahidol University Mathematics © 2020, Akadémiai Kiadó, Budapest, Hungary. We settle J. Wetzel’s 1970’s conjecture and show that a 30 ∘ circular sector of unit radius can accommodate every planar arc of unit length. Leo Moser asked in 1966 for the (convex) region with the smallest area in the plane that can accommodate each arc of unit length. With area π/ 12 , this sector is the smallest such set presently known. Moser’s question has prompted a multitude of papers on related problems over the past 50 years, most remaining unanswered. 2020-08-25T10:20:18Z 2020-08-25T10:20:18Z 2020-01-01 Article Periodica Mathematica Hungarica. (2020) 10.1007/s10998-020-00354-x 15882829 00315303 2-s2.0-85088831213 https://repository.li.mahidol.ac.th/handle/123456789/57998 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85088831213&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Chatchawan Panraksa
Wacharin Wichiramala
Wetzel’s sector covers unit arcs
description © 2020, Akadémiai Kiadó, Budapest, Hungary. We settle J. Wetzel’s 1970’s conjecture and show that a 30 ∘ circular sector of unit radius can accommodate every planar arc of unit length. Leo Moser asked in 1966 for the (convex) region with the smallest area in the plane that can accommodate each arc of unit length. With area π/ 12 , this sector is the smallest such set presently known. Moser’s question has prompted a multitude of papers on related problems over the past 50 years, most remaining unanswered.
author2 Chulalongkorn University
author_facet Chulalongkorn University
Chatchawan Panraksa
Wacharin Wichiramala
format Article
author Chatchawan Panraksa
Wacharin Wichiramala
author_sort Chatchawan Panraksa
title Wetzel’s sector covers unit arcs
title_short Wetzel’s sector covers unit arcs
title_full Wetzel’s sector covers unit arcs
title_fullStr Wetzel’s sector covers unit arcs
title_full_unstemmed Wetzel’s sector covers unit arcs
title_sort wetzel’s sector covers unit arcs
publishDate 2020
url https://repository.li.mahidol.ac.th/handle/123456789/57998
_version_ 1763491309458292736

Similar Items