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On the Center of Surface Area of the Boundary of a Star-Shaped Region

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dc.contributor.authorTheerakarn T.
dc.contributor.otherSrinakharinwirot University
dc.date.accessioned2023-11-15T02:08:42Z
dc.date.available2023-11-15T02:08:42Z
dc.date.issued2023
dc.date.issuedBE2566
dc.description.abstractEvery line passing through the center of a circular disk bisects its area. Not every planar region has a point with this property. It turns out that if a compact connected region is star-shaped at its center of area, then it must be centrally symmetric. However, there exists a non-centrally symmetric star-shaped region whose boundary has a center of length, which is a point where every line passing through this point cut its length in half. In this article, we characterize such regions and provide a method to create them. Additionally, we provide new examples and a method to generate analogous objects in higher dimensions. © 2023, THE MATHEMATICAL ASSOCIATION OF AMERICA.
dc.format.mimetypeapplication/pdf
dc.identifier.citationCollege Mathematics Journal. Vol 54, No.4 (2023), p.326-336
dc.identifier.doi10.1080/07468342.2023.2240203
dc.identifier.urihttps://hdl.handle.net/20.500.14740/10717
dc.publisherTaylor and Francis Ltd.
dc.rights.holderScopus
dc.titleOn the Center of Surface Area of the Boundary of a Star-Shaped Region
dc.typeArticle
dspace.entity.typePublication
swu.datasource.scopushttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85172765987&doi=10.1080%2f07468342.2023.2240203&partnerID=40&md5=170b7a038b833938944823626a9d979d

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