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

Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/29473

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DC Field	Value	Language
dc.contributor.author	Theerakarn T.
dc.contributor.other	Srinakharinwirot University
dc.date.accessioned	2023-11-15T02:08:42Z	-
dc.date.available	2023-11-15T02:08:42Z	-
dc.date.issued	2023
dc.identifier.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85172765987&doi=10.1080%2f07468342.2023.2240203&partnerID=40&md5=170b7a038b833938944823626a9d979d
dc.identifier.uri	https://ir.swu.ac.th/jspui/handle/123456789/29473	-
dc.description.abstract	Every 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.publisher	Taylor and Francis Ltd.
dc.title	On the Center of Surface Area of the Boundary of a Star-Shaped Region
dc.type	Article
dc.rights.holder	Scopus
dc.identifier.bibliograpycitation	College Mathematics Journal. Vol 54, No.4 (2023), p.326-336
dc.identifier.doi	10.1080/07468342.2023.2240203
Appears in Collections:	Scopus 2023

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